Home » Archimedes archive » Acorn User » AU 1994-01.adf » !FEMS_App_FEMS_App » FEMSdoc
FEMSdoc
This website contains an archive of files for the Acorn Electron, BBC Micro, Acorn Archimedes, Commodore 16 and Commodore 64 computers, which Dominic Ford has rescued from his private collection of floppy disks and cassettes.
Some of these files were originally commercial releases in the 1980s and 1990s, but they are now widely available online. I assume that copyright over them is no longer being asserted. If you own the copyright and would like files to be removed, please contact me.
Tape/disk: | Home » Archimedes archive » Acorn User » AU 1994-01.adf » !FEMS_App_FEMS_App |
Filename: | FEMSdoc |
Read OK: | ✔ |
File size: | 4D86 bytes |
Load address: | 0000 |
Exec address: | 0000 |
File contents
This file describes, in a more complete way than the magazine article, the syntax of script files for FEMS version 2.21. In the interests of clarity, some parts of the article are also included in this file. DESIGNING YOUR OWN SCENES To give maximum flexibility in the setting up of simulations, and because there are so many possibilities, the scene and parameters are described in a text file "script" which tells the program what to do. Even if you don't feel up to creating your own scenes, fiddling with the provided definition files will allow you to change things like the screen resolution, rendering style (whether the picture is drawn with dots or lines) and the viewpoint used. Since the simulation setup files are just text files, they can be created and modified in Edit or any other text editor. The magazine explains the general idea of script files and some hints for the successful creation of animations. SCRIPT FILES: GENERAL 1 The first line of a script must be "FEMS2". This is so the program can recognize valid definition files, and knows which version they are. 2 The program doesn't care whether the letters in the script are upper or lower case, as it converts them all to lower case when it reads the file. 3 Lines can be concatenated by replacing a newline with a colon, and spaces can be used instead of commas if you wish. 4 Comments are anything between a /* and a */ (like in C), and are ignored. Comments can be nested. 5 A "block" consists of a block name followed by several commands enclosed in curly brackets. The brackets must have a separator to either side of them ie. use "rendering { type dots }" not "rendering{ type dots}" 6 A script consists of some global parameters, a "rendering" block, and any number of "solid" and "background" blocks. GLOBAL PARAMETERS There are three global parameter commands: frame_aim <number> gravity <number>,<number>,<number> time_div <number> The number after frame_aim is the number of frames you want to aim for. All this does is cause the program to pause after that many frames, so you don't overshoot if the computer is being left unattended. It also sets the number of frames used to estimate the finishing time. If the program has continued past the aim point, or there is not enough space to store the number of frames aimed for, the finishing time is based on the estimated maximum number of frames. "Gravity" sets the direction and speed with which things fall. There are three numbers for the amounts in the x, y and z directions. Normally these will be something like 0, 0 and -600 so things fall downwards. The script "UpStairs" uses a sideways gravity to make the cube appear to climb the stairs. The "time_div" command sets the number of times the finite element simulation procedures are called between frames, or in other words how finely divided the time steps are. The number must be a power of 2, eg. 1,2,4,8 etc. The main purpose of this is to allow objects to be stiffer without exploding, so the spring constants in the objects are automatically increased when this value is increased. THE RENDERING BLOCK The other set of options affects the appearance of the picture on the screen. This is called the "rendering block" and looks like this: rendering { type <render_type> resolution <number>,<number> view <number>,<number> background <back_type> } <render_type> is one of "dots", "lines", "all_dots" or "wireframe". "Dots" draws the points at the corners of the surface facets, and "lines" draws the edges of the surface facets. The other two options do the same but without removing hidden surfaces. The "dots" option uses the least memory for frame storage, and "all_dots" is the quickest to draw. The "resolution" command lets you choose the screen resolution you want to use, by specifying the number of horizontal and vertical pixels. Useful values are 320,256 (low resolution) 640,256 (high resolution) and 640,512 (multisync monitors), but you can use any resolution for which there is a screen mode. The program will give an error of there is no mode which fits. When choosing a resolution, bear in mind that higher resolutions will take more frame storage space. "View" specifies the angle from which you look at the scene. The numbers are angles in degrees, the first being the direction in the x-y plane. This is the angle through which the scene is rotated about the vertical axis. If this is 0, the x direction is horizontally across your screen (+x on the right, -y on the left) and the +y direction is out of the screen towards you. The second number is the "elevation": an value of zero will put the viewpoint on the x-y plane (looking horizontally, +z axis vertically upwards), and an angle of 90 would have you looking directly down from above. The "background" command is optional: if you include "background back" in the rendering block, the program assumes that the background object(s) are always behind the solid object(s), and does not redraw the background every frame. This is useful, for example, when the background is a set of stairs, as it reduces the frame drawing time. The default setting is "background mix" which lets the background object(s) be partly in front of and partly behind the solid(s). The order in which any of the above options are arranged does not matter, as long as the rendering options are kept inside the rendering block. CREATING OBJECTS: BACKGROUND OBJECTS Background objects are the fixed pieces of scenery which the moving objects interact with. You can have as many background objects as you want: they are all created at the origin but they can be moved to any position. The script to create a background object is as follows: background { create { type <object_type> points <points_spec> size <size_spec> } translate <x>,<y>,<z> } The indentation is optional: it was added for clarity. The first thing in a background block must be a create block, and there must be only one of these. The translate command is optional, and there may be any number of these. The three parameters are the amounts by which to move the object in the x, y and z directions. All distances should be followed by a unit, eg 3.3in (with no separating space). Units recognized are in, ft, cm and mm. The default unit is 1/640 of a printer's point (a very small distance), so if the translate command has no visible effect, check the units. The first word in the create block must be "type", because the effect of the "points" and "size" commands are dependant on the object type. For a background object, <object_type> must be one of "sheet", "sphere" or "stairs". THE SPHERE OBJECT This has one "points" parameter and one "size" parameter, i.e. the word "points" must be followed by one number, and "size" must be followed by a distance. The previous remarks about units for distances also apply to all size parameters. The size parameter for a sphere sets its radius. The points parameter sets the number of points used to draw the sphere: if this parameter is P, the number of points used is 2 x P x P. There are P rings of points, each containing 2P points. 12 is an adequate value for this parameter. You should avoid creating objects which extend into a sphere, because these will be ejected outwards violently. THE SHEET OBJECT This has one "points" parameter and one "size" parameter. Sheets are always square: the points parameter sets the number of points along one side, and the size parameter sets the length of one side. For example, if you use "points 21" and "size 5in" the program will create a sheet with 21 x 21 = 441 points, so if you use "lines" as the rendering type the sheet will be divided into 20 x 20 squares, each 0.25in x 0.25in. The sheet is created horizontal (ie. on the x-y plane) and centred on the origin, so in the above example the sheet would extend from -5in to +5in in the x direction, from -5in to +5in in the y direction, and have z=0 for all points. When the sheet is created as a background object, it defines a "floor". No solid will be allowed to pass below the height of the sheet. You should avoid creating objects which extend below the floor, because these will be ejected upwards violently. Note that the floor effect does not depend on the size of the sheet, only on its vertical position.: the effective floor is an infinite plane at the same height as the sheet. If you wanted an invisible floor, therefore, you could create a small sheet with points set to 2, and move it out of sight in the x or y direction. THE STAIRS OBJECT Being a more complex object, this takes three points parameters and three size parameters. Just to confuse things, the points parameters do not correspond to the same features as the size parameters, unlike the other objects. Let's take the size parameters first; these are: size <step_width>,<step_height>,<step_depth> These are quite obvious: <step_width> is the width of the steps along the x axis (see diagram below), <step_height> is the amount you would have to lift your feet (z direction) and <step_depth> is the amount of room you have for your feet on each step (y direction). The points parameters are: points <pts_width>,<steps>,<pts_depth> The first and third of these just set the number of points used to draw the horizontal part of the steps: the second is unusual in that it changes the size of the object, since it sets the number of steps. + |\ +---+ \ Axes: |\ \ \ z +---+ \ \ + | |\ \ \ \| | +---+ \ \ +---+ *-----y \ \ \ \| \ O \ +---+ \ \ \| x +---+ O is the position of the origin The above diagram shows the orientation and initial position of the stairs. You will normally want to translate the stairs in the -y,-z direction after creating them. Note that due to the orientation, the first view parameter will need to be between 90 and 270 for the viewpoint to be on the right side of the stairs. Like the sheet, the extent of the stairs is in fact infinite: solids do not fall off the sides of the stairs, and the stairs continue above and below those which are visible. CREATING OBJECTS: SOLID OBJECTS solid { create { type <object_type> points <points_spec> size <size_spec> } scale <xs>,<ys>,<zs> nearbonds { spring_const <lambda> range <range_val> } damping <damp_val> <other commands> } The block to create a solid starts with a "create" block, like backgrounds. The only difference here is the choice of objects you can create: a sheet, a cuboid, a cube, a tube or a compound object. These will be described individually later. The scale command is optional: it lets you scale an object in the x, y and z directions. This command is mainly present to allow you to change the size of a compound object, which would otherwise be very tedious. I would advise that you keep the x, y and z scalings similar, as objects which have different point spacings in different directions tend to be unstable. The scale command goes before nearbonds because otherwise would get stretched: you may want to use this effect, but keep the scale factors close to 1 to prevent explosions. The "nearbonds" block is what makes the solid a solid. It needs to be put after the "create" block, because it creates all the little springs which hold the points in the object together. It is called "nearbonds" because it only bonds together points which are fairly close. The number after "spring_const" sets the stiffness of the springs, and "range" sets how near two points have to be for a spring to connect them. For each object, the program works out an average "nearest-neighbour" distance (call this D), and the "range" value is in terms of D. Points with a separation of between D/2 and D are linked with a spring of strength <lambda>, and points with a separation between D and D*<range_val> are linked with a spring of strength which decreases smoothly down to 0 for D*<range_val>. Points with a separation of less than D/2 are not connected. The "damping" command should be followed by a single integer: 3 or 4 are typical values. Solid objects need have the motion of their points "damped", otherwise the springs would make them vibrate out of control. Unfortunately, the damping also has the effect of stopping the whole object moving or rotating very quickly, so things sometimes look as if they are underwater. Generally, you will want the smallest value of damping which is sufficient to stop the thing exploding. OTHER COMMANDS There are two commands you can use to place the object where you want it: translate <x>,<y>,<z> rotate <xr>,<yr>,<zr> The translate command has been described above. The rotate command rotates the object ABOUT THE ORIGIN. It rotates by <xr>, <yr> and <zr> degrees about the x, y, and z axes respectively. You can have any number of translate and rotate commands without fear of slowing down the program, because the commands only affect the initial setting up. For example, if you want to rotate by 15 degrees about the point (1in,1in,2in), around the x axis, you could use: translate -1in,-1in,-2in rotate 15,0,0 translate 1in,1in,2in and then translate the solid to where you want it. There are another two commands which can go in a solid block, but these should only be given once in each solid. They are: velocity <xv>,<yv>,<zv> pull <first>,<last>,<step>,<xv>,<yv>,<zv> The "velocity" command just gives the object an initial velocity. Use trial and error to find the best value, but the size of numbers will need to be around a few thousands (a setting of 1843 is 1 inch per second). Note that high velocities will quickly be damped down. The "pull" command is rather low-level: it needs to refer to the numbering of the points in an object. The first three parameters are like a FOR-NEXT loop which defines a set of points, and these points are given a fixed velocity given by the last three parameters. Look at the simulation script "ClothPull" for an example of the use of this command. THE CUBOID OBJECT To create a cuboid, use the following parameters in the "create" block: type cuboid size <x_size>,<y_size>,<z_size> points <x_pts>,<y_pts>,<z_pts> The meaning of the parameters is hopefully obvious. It is a good idea to keep the separation of the points the same in all three directions, ie. <size>/<pts> should be similar for x, y and z. THE CUBE OBJECT The setup for a cube is: type cube size <size> points <pts> This is basically the same as a cuboid, except the parameters for the three directions are all set to be equal. THE TUBE OBJECT type tube size <length>,<radius>,<thickness> points <length_pts>,<circ_points>,<thick_points> The <length> parameter sets the length of the tube. <Radius> sets the distance from the axis of the tube to the centre of its walls, and <thickness> sets the wall thickness. The three points parameters set the number of points along the length, around the circumference and across the wall respectively. As I mentioned earlier, it is a good idea to keep the "nearest-neighbour" distance fairly constant, so as a rough guide, try to keep: <length_pts> <circ_points> <thick_points> ------------ = ------------- = -------------- <length> 2*PI*<radius> <thickness> and <radius> > 2*<thickness> These are only approximate rules, so feel free to try things out and see what happens. COMPOUND OBJECTS Compound objects let you stick together any number of other solids to create a more complex object. Here is an example of how a compound object might look: create { type compound part { type cuboid points 7,3,3 size 3in,1in,1in offset 1in,0,0 } part { type cuboid:points 3,3,11:size 1in,1in,5in } part { type cuboid:points 3,7,3:size 1in,3in,1in:offset 0,1in,0 } } The first line in the "create" block is "type compound", then there is a list of "part" blocks. Each of these is much like a "create" block (it has type, size and points commands), but with the following differences: 1 You can add an "offset" command at the end 2 You cannot have a compound type object as a part! The "offset" command is exactly equivalent to a "translate" command, but only applies to the particular part whose block it is in. In the example above, the first "part" block is written out with one command per line, but the rest are contracted onto one line each by replacing newlines with colons. Remember that the curly brackets must be separated from the commands, else you will get an error. There is no limit on the number of parts a compound object can have. Compound solids work by letting you create several objects before you use the "nearbonds" command. When you do use this command, it connects the parts together. This method means that parts will not get connected if they are separated by more than the range of the "nearbonds" command. You should also not let parts pass through each other, as the resulting compound object is unstable. Since the nearbonds routine is working on all the parts in one go, you should also keep the nearest-neighbour distances for all the parts similar. GETTING SCREENSHOTS There is no built-in facility for obtaining screenshots, but it is simple to do this by adding a line to PROCframe_actions in the program. This procedure is called after each frame has been drawn, with the frame number passed in frame%. To save a picture of frame 30, add a line at the beginning of PROCframe_actions which says: IF frame%=30 THEN *ScreenSave FEMSpic30 You could also make the ScreenSave conditional on the Alt key being held down, for example. FACET OUTPUT I have included in the program a facility to output the coordinates of all the triangular "facets" which make up the surfaces of the objects. You could use this data to create an input file for a ray tracer or other 3D rendering program. As for screenshots, you just add a line to PROCframe_actions like: IF frame%=30 THEN PROCoutput_facets("$.Temp.facets30") which will create a data file when the program reaches the 30th frame. The data file consists of a list of numbers which can the read by a INPUT#chan%,A% type BASIC statement. You can read the file with a program which looks something like this: REPEAT INPUT#chan%,A% IF A%<>1 THEN ERROR 1,"Bad file" INPUT#chan%,N% FOR i%=1 TO N% INPUT#chan%,X1%,Y1%,Z1% INPUT#chan%,X2%,Y2%,Z2% INPUT#chan%,X3%,Y3%,Z3% REM do something with the data here NEXT UNTIL EOF#chan% The coordinates of the three corners of each facet are given in units of 1/640th of a point, which is 1/&B400 of an inch. Have fun!
00000000 54 68 69 73 20 66 69 6c 65 20 64 65 73 63 72 69 |This file descri| 00000010 62 65 73 2c 20 69 6e 20 61 20 6d 6f 72 65 20 63 |bes, in a more c| 00000020 6f 6d 70 6c 65 74 65 20 77 61 79 20 74 68 61 6e |omplete way than| 00000030 20 74 68 65 20 6d 61 67 61 7a 69 6e 65 20 61 72 | the magazine ar| 00000040 74 69 63 6c 65 2c 20 74 68 65 0a 73 79 6e 74 61 |ticle, the.synta| 00000050 78 20 6f 66 20 73 63 72 69 70 74 20 66 69 6c 65 |x of script file| 00000060 73 20 66 6f 72 20 46 45 4d 53 20 76 65 72 73 69 |s for FEMS versi| 00000070 6f 6e 20 32 2e 32 31 2e 20 20 49 6e 20 74 68 65 |on 2.21. In the| 00000080 20 69 6e 74 65 72 65 73 74 73 20 6f 66 20 63 6c | interests of cl| 00000090 61 72 69 74 79 2c 0a 73 6f 6d 65 20 70 61 72 74 |arity,.some part| 000000a0 73 20 6f 66 20 74 68 65 20 61 72 74 69 63 6c 65 |s of the article| 000000b0 20 61 72 65 20 61 6c 73 6f 20 69 6e 63 6c 75 64 | are also includ| 000000c0 65 64 20 69 6e 20 74 68 69 73 20 66 69 6c 65 2e |ed in this file.| 000000d0 0a 0a 0a 44 45 53 49 47 4e 49 4e 47 20 59 4f 55 |...DESIGNING YOU| 000000e0 52 20 4f 57 4e 20 53 43 45 4e 45 53 0a 0a 20 20 |R OWN SCENES.. | 000000f0 20 20 20 54 6f 20 67 69 76 65 20 6d 61 78 69 6d | To give maxim| 00000100 75 6d 20 66 6c 65 78 69 62 69 6c 69 74 79 20 69 |um flexibility i| 00000110 6e 20 74 68 65 20 73 65 74 74 69 6e 67 20 75 70 |n the setting up| 00000120 20 6f 66 20 73 69 6d 75 6c 61 74 69 6f 6e 73 2c | of simulations,| 00000130 20 61 6e 64 0a 62 65 63 61 75 73 65 20 74 68 65 | and.because the| 00000140 72 65 20 61 72 65 20 73 6f 20 6d 61 6e 79 20 70 |re are so many p| 00000150 6f 73 73 69 62 69 6c 69 74 69 65 73 2c 20 74 68 |ossibilities, th| 00000160 65 20 73 63 65 6e 65 20 61 6e 64 20 70 61 72 61 |e scene and para| 00000170 6d 65 74 65 72 73 20 61 72 65 0a 64 65 73 63 72 |meters are.descr| 00000180 69 62 65 64 20 69 6e 20 61 20 74 65 78 74 20 66 |ibed in a text f| 00000190 69 6c 65 20 22 73 63 72 69 70 74 22 20 77 68 69 |ile "script" whi| 000001a0 63 68 20 74 65 6c 6c 73 20 74 68 65 20 70 72 6f |ch tells the pro| 000001b0 67 72 61 6d 20 77 68 61 74 20 74 6f 20 64 6f 2e |gram what to do.| 000001c0 20 20 45 76 65 6e 0a 69 66 20 79 6f 75 20 64 6f | Even.if you do| 000001d0 6e 27 74 20 66 65 65 6c 20 75 70 20 74 6f 20 63 |n't feel up to c| 000001e0 72 65 61 74 69 6e 67 20 79 6f 75 72 20 6f 77 6e |reating your own| 000001f0 20 73 63 65 6e 65 73 2c 20 66 69 64 64 6c 69 6e | scenes, fiddlin| 00000200 67 20 77 69 74 68 20 74 68 65 20 70 72 6f 76 69 |g with the provi| 00000210 64 65 64 0a 64 65 66 69 6e 69 74 69 6f 6e 20 66 |ded.definition f| 00000220 69 6c 65 73 20 77 69 6c 6c 20 61 6c 6c 6f 77 20 |iles will allow | 00000230 79 6f 75 20 74 6f 20 63 68 61 6e 67 65 20 74 68 |you to change th| 00000240 69 6e 67 73 20 6c 69 6b 65 20 74 68 65 20 73 63 |ings like the sc| 00000250 72 65 65 6e 20 72 65 73 6f 6c 75 74 69 6f 6e 2c |reen resolution,| 00000260 0a 72 65 6e 64 65 72 69 6e 67 20 73 74 79 6c 65 |.rendering style| 00000270 20 28 77 68 65 74 68 65 72 20 74 68 65 20 70 69 | (whether the pi| 00000280 63 74 75 72 65 20 69 73 20 64 72 61 77 6e 20 77 |cture is drawn w| 00000290 69 74 68 20 64 6f 74 73 20 6f 72 20 6c 69 6e 65 |ith dots or line| 000002a0 73 29 20 61 6e 64 20 74 68 65 0a 76 69 65 77 70 |s) and the.viewp| 000002b0 6f 69 6e 74 20 75 73 65 64 2e 20 20 53 69 6e 63 |oint used. Sinc| 000002c0 65 20 74 68 65 20 73 69 6d 75 6c 61 74 69 6f 6e |e the simulation| 000002d0 20 73 65 74 75 70 20 66 69 6c 65 73 20 61 72 65 | setup files are| 000002e0 20 6a 75 73 74 20 74 65 78 74 20 66 69 6c 65 73 | just text files| 000002f0 2c 20 74 68 65 79 0a 63 61 6e 20 62 65 20 63 72 |, they.can be cr| 00000300 65 61 74 65 64 20 61 6e 64 20 6d 6f 64 69 66 69 |eated and modifi| 00000310 65 64 20 69 6e 20 45 64 69 74 20 6f 72 20 61 6e |ed in Edit or an| 00000320 79 20 6f 74 68 65 72 20 74 65 78 74 20 65 64 69 |y other text edi| 00000330 74 6f 72 2e 20 20 54 68 65 20 6d 61 67 61 7a 69 |tor. The magazi| 00000340 6e 65 0a 65 78 70 6c 61 69 6e 73 20 74 68 65 20 |ne.explains the | 00000350 67 65 6e 65 72 61 6c 20 69 64 65 61 20 6f 66 20 |general idea of | 00000360 73 63 72 69 70 74 20 66 69 6c 65 73 20 61 6e 64 |script files and| 00000370 20 73 6f 6d 65 20 68 69 6e 74 73 20 66 6f 72 20 | some hints for | 00000380 74 68 65 20 73 75 63 63 65 73 73 66 75 6c 0a 63 |the successful.c| 00000390 72 65 61 74 69 6f 6e 20 6f 66 20 61 6e 69 6d 61 |reation of anima| 000003a0 74 69 6f 6e 73 2e 0a 0a 53 43 52 49 50 54 20 46 |tions...SCRIPT F| 000003b0 49 4c 45 53 3a 20 47 45 4e 45 52 41 4c 0a 0a 31 |ILES: GENERAL..1| 000003c0 20 20 20 20 54 68 65 20 66 69 72 73 74 20 6c 69 | The first li| 000003d0 6e 65 20 6f 66 20 61 20 73 63 72 69 70 74 20 6d |ne of a script m| 000003e0 75 73 74 20 62 65 20 22 46 45 4d 53 32 22 2e 20 |ust be "FEMS2". | 000003f0 20 54 68 69 73 20 69 73 20 73 6f 20 74 68 65 20 | This is so the | 00000400 70 72 6f 67 72 61 6d 20 63 61 6e 0a 72 65 63 6f |program can.reco| 00000410 67 6e 69 7a 65 20 76 61 6c 69 64 20 64 65 66 69 |gnize valid defi| 00000420 6e 69 74 69 6f 6e 20 66 69 6c 65 73 2c 20 61 6e |nition files, an| 00000430 64 20 6b 6e 6f 77 73 20 77 68 69 63 68 20 76 65 |d knows which ve| 00000440 72 73 69 6f 6e 20 74 68 65 79 20 61 72 65 2e 0a |rsion they are..| 00000450 0a 32 20 20 20 20 54 68 65 20 70 72 6f 67 72 61 |.2 The progra| 00000460 6d 20 64 6f 65 73 6e 27 74 20 63 61 72 65 20 77 |m doesn't care w| 00000470 68 65 74 68 65 72 20 74 68 65 20 6c 65 74 74 65 |hether the lette| 00000480 72 73 20 69 6e 20 74 68 65 20 73 63 72 69 70 74 |rs in the script| 00000490 20 61 72 65 20 75 70 70 65 72 20 6f 72 0a 6c 6f | are upper or.lo| 000004a0 77 65 72 20 63 61 73 65 2c 20 61 73 20 69 74 20 |wer case, as it | 000004b0 63 6f 6e 76 65 72 74 73 20 74 68 65 6d 20 61 6c |converts them al| 000004c0 6c 20 74 6f 20 6c 6f 77 65 72 20 63 61 73 65 20 |l to lower case | 000004d0 77 68 65 6e 20 69 74 20 72 65 61 64 73 20 74 68 |when it reads th| 000004e0 65 20 66 69 6c 65 2e 0a 0a 33 20 20 20 20 4c 69 |e file...3 Li| 000004f0 6e 65 73 20 63 61 6e 20 62 65 20 63 6f 6e 63 61 |nes can be conca| 00000500 74 65 6e 61 74 65 64 20 62 79 20 72 65 70 6c 61 |tenated by repla| 00000510 63 69 6e 67 20 61 20 6e 65 77 6c 69 6e 65 20 77 |cing a newline w| 00000520 69 74 68 20 61 20 63 6f 6c 6f 6e 2c 20 61 6e 64 |ith a colon, and| 00000530 0a 73 70 61 63 65 73 20 63 61 6e 20 62 65 20 75 |.spaces can be u| 00000540 73 65 64 20 69 6e 73 74 65 61 64 20 6f 66 20 63 |sed instead of c| 00000550 6f 6d 6d 61 73 20 69 66 20 79 6f 75 20 77 69 73 |ommas if you wis| 00000560 68 2e 0a 0a 34 20 20 20 20 43 6f 6d 6d 65 6e 74 |h...4 Comment| 00000570 73 20 61 72 65 20 61 6e 79 74 68 69 6e 67 20 62 |s are anything b| 00000580 65 74 77 65 65 6e 20 61 20 2f 2a 20 61 6e 64 20 |etween a /* and | 00000590 61 20 2a 2f 20 28 6c 69 6b 65 20 69 6e 20 43 29 |a */ (like in C)| 000005a0 2c 20 61 6e 64 20 61 72 65 0a 69 67 6e 6f 72 65 |, and are.ignore| 000005b0 64 2e 20 20 43 6f 6d 6d 65 6e 74 73 20 63 61 6e |d. Comments can| 000005c0 20 62 65 20 6e 65 73 74 65 64 2e 0a 0a 35 20 20 | be nested...5 | 000005d0 20 20 41 20 22 62 6c 6f 63 6b 22 20 63 6f 6e 73 | A "block" cons| 000005e0 69 73 74 73 20 6f 66 20 61 20 62 6c 6f 63 6b 20 |ists of a block | 000005f0 6e 61 6d 65 20 66 6f 6c 6c 6f 77 65 64 20 62 79 |name followed by| 00000600 20 73 65 76 65 72 61 6c 20 63 6f 6d 6d 61 6e 64 | several command| 00000610 73 0a 65 6e 63 6c 6f 73 65 64 20 69 6e 20 63 75 |s.enclosed in cu| 00000620 72 6c 79 20 62 72 61 63 6b 65 74 73 2e 20 20 54 |rly brackets. T| 00000630 68 65 20 62 72 61 63 6b 65 74 73 20 6d 75 73 74 |he brackets must| 00000640 20 68 61 76 65 20 61 20 73 65 70 61 72 61 74 6f | have a separato| 00000650 72 20 74 6f 20 65 69 74 68 65 72 0a 73 69 64 65 |r to either.side| 00000660 20 6f 66 20 74 68 65 6d 20 69 65 2e 20 75 73 65 | of them ie. use| 00000670 20 22 72 65 6e 64 65 72 69 6e 67 20 7b 20 74 79 | "rendering { ty| 00000680 70 65 20 64 6f 74 73 20 7d 22 20 6e 6f 74 20 22 |pe dots }" not "| 00000690 72 65 6e 64 65 72 69 6e 67 7b 20 74 79 70 65 20 |rendering{ type | 000006a0 64 6f 74 73 7d 22 0a 0a 36 20 20 20 20 41 20 73 |dots}"..6 A s| 000006b0 63 72 69 70 74 20 63 6f 6e 73 69 73 74 73 20 6f |cript consists o| 000006c0 66 20 73 6f 6d 65 20 67 6c 6f 62 61 6c 20 70 61 |f some global pa| 000006d0 72 61 6d 65 74 65 72 73 2c 20 61 20 22 72 65 6e |rameters, a "ren| 000006e0 64 65 72 69 6e 67 22 20 62 6c 6f 63 6b 2c 20 61 |dering" block, a| 000006f0 6e 64 0a 61 6e 79 20 6e 75 6d 62 65 72 20 6f 66 |nd.any number of| 00000700 20 22 73 6f 6c 69 64 22 20 61 6e 64 20 22 62 61 | "solid" and "ba| 00000710 63 6b 67 72 6f 75 6e 64 22 20 62 6c 6f 63 6b 73 |ckground" blocks| 00000720 2e 0a 0a 47 4c 4f 42 41 4c 20 50 41 52 41 4d 45 |...GLOBAL PARAME| 00000730 54 45 52 53 0a 20 20 20 20 20 54 68 65 72 65 20 |TERS. There | 00000740 61 72 65 20 74 68 72 65 65 20 67 6c 6f 62 61 6c |are three global| 00000750 20 70 61 72 61 6d 65 74 65 72 20 63 6f 6d 6d 61 | parameter comma| 00000760 6e 64 73 3a 0a 20 20 20 20 20 20 20 20 20 20 66 |nds:. f| 00000770 72 61 6d 65 5f 61 69 6d 20 3c 6e 75 6d 62 65 72 |rame_aim <number| 00000780 3e 0a 20 20 20 20 20 20 20 20 20 20 67 72 61 76 |>. grav| 00000790 69 74 79 20 3c 6e 75 6d 62 65 72 3e 2c 3c 6e 75 |ity <number>,<nu| 000007a0 6d 62 65 72 3e 2c 3c 6e 75 6d 62 65 72 3e 0a 20 |mber>,<number>. | 000007b0 20 20 20 20 20 20 20 20 20 74 69 6d 65 5f 64 69 | time_di| 000007c0 76 20 3c 6e 75 6d 62 65 72 3e 0a 20 20 20 20 20 |v <number>. | 000007d0 54 68 65 20 6e 75 6d 62 65 72 20 61 66 74 65 72 |The number after| 000007e0 20 66 72 61 6d 65 5f 61 69 6d 20 69 73 20 74 68 | frame_aim is th| 000007f0 65 20 6e 75 6d 62 65 72 20 6f 66 20 66 72 61 6d |e number of fram| 00000800 65 73 20 79 6f 75 20 77 61 6e 74 20 74 6f 20 61 |es you want to a| 00000810 69 6d 20 66 6f 72 2e 20 0a 41 6c 6c 20 74 68 69 |im for. .All thi| 00000820 73 20 64 6f 65 73 20 69 73 20 63 61 75 73 65 20 |s does is cause | 00000830 74 68 65 20 70 72 6f 67 72 61 6d 20 74 6f 20 70 |the program to p| 00000840 61 75 73 65 20 61 66 74 65 72 20 74 68 61 74 20 |ause after that | 00000850 6d 61 6e 79 20 66 72 61 6d 65 73 2c 20 73 6f 20 |many frames, so | 00000860 79 6f 75 0a 64 6f 6e 27 74 20 6f 76 65 72 73 68 |you.don't oversh| 00000870 6f 6f 74 20 69 66 20 74 68 65 20 63 6f 6d 70 75 |oot if the compu| 00000880 74 65 72 20 69 73 20 62 65 69 6e 67 20 6c 65 66 |ter is being lef| 00000890 74 20 75 6e 61 74 74 65 6e 64 65 64 2e 20 20 49 |t unattended. I| 000008a0 74 20 61 6c 73 6f 20 73 65 74 73 20 74 68 65 0a |t also sets the.| 000008b0 6e 75 6d 62 65 72 20 6f 66 20 66 72 61 6d 65 73 |number of frames| 000008c0 20 75 73 65 64 20 74 6f 20 65 73 74 69 6d 61 74 | used to estimat| 000008d0 65 20 74 68 65 20 66 69 6e 69 73 68 69 6e 67 20 |e the finishing | 000008e0 74 69 6d 65 2e 20 20 49 66 20 74 68 65 20 70 72 |time. If the pr| 000008f0 6f 67 72 61 6d 20 68 61 73 0a 63 6f 6e 74 69 6e |ogram has.contin| 00000900 75 65 64 20 70 61 73 74 20 74 68 65 20 61 69 6d |ued past the aim| 00000910 20 70 6f 69 6e 74 2c 20 6f 72 20 74 68 65 72 65 | point, or there| 00000920 20 69 73 20 6e 6f 74 20 65 6e 6f 75 67 68 20 73 | is not enough s| 00000930 70 61 63 65 20 74 6f 20 73 74 6f 72 65 20 74 68 |pace to store th| 00000940 65 0a 6e 75 6d 62 65 72 20 6f 66 20 66 72 61 6d |e.number of fram| 00000950 65 73 20 61 69 6d 65 64 20 66 6f 72 2c 20 74 68 |es aimed for, th| 00000960 65 20 66 69 6e 69 73 68 69 6e 67 20 74 69 6d 65 |e finishing time| 00000970 20 69 73 20 62 61 73 65 64 20 6f 6e 20 74 68 65 | is based on the| 00000980 20 65 73 74 69 6d 61 74 65 64 0a 6d 61 78 69 6d | estimated.maxim| 00000990 75 6d 20 6e 75 6d 62 65 72 20 6f 66 20 66 72 61 |um number of fra| 000009a0 6d 65 73 2e 0a 0a 20 20 20 20 20 22 47 72 61 76 |mes... "Grav| 000009b0 69 74 79 22 20 73 65 74 73 20 74 68 65 20 64 69 |ity" sets the di| 000009c0 72 65 63 74 69 6f 6e 20 61 6e 64 20 73 70 65 65 |rection and spee| 000009d0 64 20 77 69 74 68 20 77 68 69 63 68 20 74 68 69 |d with which thi| 000009e0 6e 67 73 20 66 61 6c 6c 2e 20 20 54 68 65 72 65 |ngs fall. There| 000009f0 0a 61 72 65 20 74 68 72 65 65 20 6e 75 6d 62 65 |.are three numbe| 00000a00 72 73 20 66 6f 72 20 74 68 65 20 61 6d 6f 75 6e |rs for the amoun| 00000a10 74 73 20 69 6e 20 74 68 65 20 78 2c 20 79 20 61 |ts in the x, y a| 00000a20 6e 64 20 7a 20 64 69 72 65 63 74 69 6f 6e 73 2e |nd z directions.| 00000a30 20 20 4e 6f 72 6d 61 6c 6c 79 0a 74 68 65 73 65 | Normally.these| 00000a40 20 77 69 6c 6c 20 62 65 20 73 6f 6d 65 74 68 69 | will be somethi| 00000a50 6e 67 20 6c 69 6b 65 20 30 2c 20 30 20 20 61 6e |ng like 0, 0 an| 00000a60 64 20 2d 36 30 30 20 73 6f 20 74 68 69 6e 67 73 |d -600 so things| 00000a70 20 66 61 6c 6c 20 64 6f 77 6e 77 61 72 64 73 2e | fall downwards.| 00000a80 20 20 54 68 65 0a 73 63 72 69 70 74 20 22 55 70 | The.script "Up| 00000a90 53 74 61 69 72 73 22 20 75 73 65 73 20 61 20 73 |Stairs" uses a s| 00000aa0 69 64 65 77 61 79 73 20 67 72 61 76 69 74 79 20 |ideways gravity | 00000ab0 74 6f 20 6d 61 6b 65 20 74 68 65 20 63 75 62 65 |to make the cube| 00000ac0 20 61 70 70 65 61 72 20 74 6f 20 63 6c 69 6d 62 | appear to climb| 00000ad0 0a 74 68 65 20 73 74 61 69 72 73 2e 0a 0a 20 20 |.the stairs... | 00000ae0 20 20 20 54 68 65 20 22 74 69 6d 65 5f 64 69 76 | The "time_div| 00000af0 22 20 63 6f 6d 6d 61 6e 64 20 73 65 74 73 20 74 |" command sets t| 00000b00 68 65 20 6e 75 6d 62 65 72 20 6f 66 20 74 69 6d |he number of tim| 00000b10 65 73 20 74 68 65 20 66 69 6e 69 74 65 20 65 6c |es the finite el| 00000b20 65 6d 65 6e 74 0a 73 69 6d 75 6c 61 74 69 6f 6e |ement.simulation| 00000b30 20 70 72 6f 63 65 64 75 72 65 73 20 61 72 65 20 | procedures are | 00000b40 63 61 6c 6c 65 64 20 62 65 74 77 65 65 6e 20 66 |called between f| 00000b50 72 61 6d 65 73 2c 20 6f 72 20 69 6e 20 6f 74 68 |rames, or in oth| 00000b60 65 72 20 77 6f 72 64 73 20 68 6f 77 0a 66 69 6e |er words how.fin| 00000b70 65 6c 79 20 64 69 76 69 64 65 64 20 74 68 65 20 |ely divided the | 00000b80 74 69 6d 65 20 73 74 65 70 73 20 61 72 65 2e 20 |time steps are. | 00000b90 20 54 68 65 20 6e 75 6d 62 65 72 20 6d 75 73 74 | The number must| 00000ba0 20 62 65 20 61 20 70 6f 77 65 72 20 6f 66 20 32 | be a power of 2| 00000bb0 2c 20 65 67 2e 0a 31 2c 32 2c 34 2c 38 20 65 74 |, eg..1,2,4,8 et| 00000bc0 63 2e 20 20 54 68 65 20 6d 61 69 6e 20 70 75 72 |c. The main pur| 00000bd0 70 6f 73 65 20 6f 66 20 74 68 69 73 20 69 73 20 |pose of this is | 00000be0 74 6f 20 61 6c 6c 6f 77 20 6f 62 6a 65 63 74 73 |to allow objects| 00000bf0 20 74 6f 20 62 65 20 73 74 69 66 66 65 72 0a 77 | to be stiffer.w| 00000c00 69 74 68 6f 75 74 20 65 78 70 6c 6f 64 69 6e 67 |ithout exploding| 00000c10 2c 20 73 6f 20 74 68 65 20 73 70 72 69 6e 67 20 |, so the spring | 00000c20 63 6f 6e 73 74 61 6e 74 73 20 69 6e 20 74 68 65 |constants in the| 00000c30 20 6f 62 6a 65 63 74 73 20 61 72 65 20 61 75 74 | objects are aut| 00000c40 6f 6d 61 74 69 63 61 6c 6c 79 0a 69 6e 63 72 65 |omatically.incre| 00000c50 61 73 65 64 20 77 68 65 6e 20 74 68 69 73 20 76 |ased when this v| 00000c60 61 6c 75 65 20 69 73 20 69 6e 63 72 65 61 73 65 |alue is increase| 00000c70 64 2e 0a 0a 54 48 45 20 52 45 4e 44 45 52 49 4e |d...THE RENDERIN| 00000c80 47 20 42 4c 4f 43 4b 0a 20 20 20 20 20 54 68 65 |G BLOCK. The| 00000c90 20 6f 74 68 65 72 20 73 65 74 20 6f 66 20 6f 70 | other set of op| 00000ca0 74 69 6f 6e 73 20 61 66 66 65 63 74 73 20 74 68 |tions affects th| 00000cb0 65 20 61 70 70 65 61 72 61 6e 63 65 20 6f 66 20 |e appearance of | 00000cc0 74 68 65 20 70 69 63 74 75 72 65 20 6f 6e 20 74 |the picture on t| 00000cd0 68 65 0a 73 63 72 65 65 6e 2e 20 20 54 68 69 73 |he.screen. This| 00000ce0 20 69 73 20 63 61 6c 6c 65 64 20 74 68 65 20 22 | is called the "| 00000cf0 72 65 6e 64 65 72 69 6e 67 20 62 6c 6f 63 6b 22 |rendering block"| 00000d00 20 61 6e 64 20 6c 6f 6f 6b 73 20 6c 69 6b 65 20 | and looks like | 00000d10 74 68 69 73 3a 0a 20 0a 20 20 20 20 20 20 20 20 |this:. . | 00000d20 20 20 72 65 6e 64 65 72 69 6e 67 20 7b 0a 20 20 | rendering {. | 00000d30 20 20 20 20 20 20 20 20 20 74 79 70 65 20 3c 72 | type <r| 00000d40 65 6e 64 65 72 5f 74 79 70 65 3e 0a 20 20 20 20 |ender_type>. | 00000d50 20 20 20 20 20 20 20 72 65 73 6f 6c 75 74 69 6f | resolutio| 00000d60 6e 20 3c 6e 75 6d 62 65 72 3e 2c 3c 6e 75 6d 62 |n <number>,<numb| 00000d70 65 72 3e 0a 20 20 20 20 20 20 20 20 20 20 20 76 |er>. v| 00000d80 69 65 77 20 3c 6e 75 6d 62 65 72 3e 2c 3c 6e 75 |iew <number>,<nu| 00000d90 6d 62 65 72 3e 0a 20 20 20 20 20 20 20 20 20 20 |mber>. | 00000da0 20 62 61 63 6b 67 72 6f 75 6e 64 20 3c 62 61 63 | background <bac| 00000db0 6b 5f 74 79 70 65 3e 0a 20 20 20 20 20 20 20 20 |k_type>. | 00000dc0 20 20 7d 0a 0a 20 20 20 20 20 3c 72 65 6e 64 65 | }.. <rende| 00000dd0 72 5f 74 79 70 65 3e 20 69 73 20 6f 6e 65 20 6f |r_type> is one o| 00000de0 66 20 22 64 6f 74 73 22 2c 20 22 6c 69 6e 65 73 |f "dots", "lines| 00000df0 22 2c 20 22 61 6c 6c 5f 64 6f 74 73 22 20 6f 72 |", "all_dots" or| 00000e00 20 22 77 69 72 65 66 72 61 6d 65 22 2e 20 0a 22 | "wireframe". ."| 00000e10 44 6f 74 73 22 20 64 72 61 77 73 20 74 68 65 20 |Dots" draws the | 00000e20 70 6f 69 6e 74 73 20 61 74 20 74 68 65 20 63 6f |points at the co| 00000e30 72 6e 65 72 73 20 6f 66 20 74 68 65 20 73 75 72 |rners of the sur| 00000e40 66 61 63 65 20 66 61 63 65 74 73 2c 20 61 6e 64 |face facets, and| 00000e50 20 22 6c 69 6e 65 73 22 0a 64 72 61 77 73 20 74 | "lines".draws t| 00000e60 68 65 20 65 64 67 65 73 20 6f 66 20 74 68 65 20 |he edges of the | 00000e70 73 75 72 66 61 63 65 20 66 61 63 65 74 73 2e 20 |surface facets. | 00000e80 20 54 68 65 20 6f 74 68 65 72 20 74 77 6f 20 6f | The other two o| 00000e90 70 74 69 6f 6e 73 20 64 6f 20 74 68 65 20 73 61 |ptions do the sa| 00000ea0 6d 65 0a 62 75 74 20 77 69 74 68 6f 75 74 20 72 |me.but without r| 00000eb0 65 6d 6f 76 69 6e 67 20 68 69 64 64 65 6e 20 73 |emoving hidden s| 00000ec0 75 72 66 61 63 65 73 2e 20 20 54 68 65 20 22 64 |urfaces. The "d| 00000ed0 6f 74 73 22 20 6f 70 74 69 6f 6e 20 75 73 65 73 |ots" option uses| 00000ee0 20 74 68 65 20 6c 65 61 73 74 0a 6d 65 6d 6f 72 | the least.memor| 00000ef0 79 20 66 6f 72 20 66 72 61 6d 65 20 73 74 6f 72 |y for frame stor| 00000f00 61 67 65 2c 20 61 6e 64 20 22 61 6c 6c 5f 64 6f |age, and "all_do| 00000f10 74 73 22 20 69 73 20 74 68 65 20 71 75 69 63 6b |ts" is the quick| 00000f20 65 73 74 20 74 6f 20 64 72 61 77 2e 0a 0a 20 20 |est to draw... | 00000f30 20 20 20 54 68 65 20 22 72 65 73 6f 6c 75 74 69 | The "resoluti| 00000f40 6f 6e 22 20 63 6f 6d 6d 61 6e 64 20 6c 65 74 73 |on" command lets| 00000f50 20 79 6f 75 20 63 68 6f 6f 73 65 20 74 68 65 20 | you choose the | 00000f60 73 63 72 65 65 6e 20 72 65 73 6f 6c 75 74 69 6f |screen resolutio| 00000f70 6e 20 79 6f 75 20 77 61 6e 74 0a 74 6f 20 75 73 |n you want.to us| 00000f80 65 2c 20 62 79 20 73 70 65 63 69 66 79 69 6e 67 |e, by specifying| 00000f90 20 74 68 65 20 6e 75 6d 62 65 72 20 6f 66 20 68 | the number of h| 00000fa0 6f 72 69 7a 6f 6e 74 61 6c 20 61 6e 64 20 76 65 |orizontal and ve| 00000fb0 72 74 69 63 61 6c 20 70 69 78 65 6c 73 2e 20 20 |rtical pixels. | 00000fc0 55 73 65 66 75 6c 0a 76 61 6c 75 65 73 20 61 72 |Useful.values ar| 00000fd0 65 20 33 32 30 2c 32 35 36 20 28 6c 6f 77 20 72 |e 320,256 (low r| 00000fe0 65 73 6f 6c 75 74 69 6f 6e 29 20 36 34 30 2c 32 |esolution) 640,2| 00000ff0 35 36 20 28 68 69 67 68 20 72 65 73 6f 6c 75 74 |56 (high resolut| 00001000 69 6f 6e 29 20 61 6e 64 20 36 34 30 2c 35 31 32 |ion) and 640,512| 00001010 0a 28 6d 75 6c 74 69 73 79 6e 63 20 6d 6f 6e 69 |.(multisync moni| 00001020 74 6f 72 73 29 2c 20 62 75 74 20 79 6f 75 20 63 |tors), but you c| 00001030 61 6e 20 75 73 65 20 61 6e 79 20 72 65 73 6f 6c |an use any resol| 00001040 75 74 69 6f 6e 20 66 6f 72 20 77 68 69 63 68 20 |ution for which | 00001050 74 68 65 72 65 20 69 73 20 61 0a 73 63 72 65 65 |there is a.scree| 00001060 6e 20 6d 6f 64 65 2e 20 20 54 68 65 20 70 72 6f |n mode. The pro| 00001070 67 72 61 6d 20 77 69 6c 6c 20 67 69 76 65 20 61 |gram will give a| 00001080 6e 20 65 72 72 6f 72 20 6f 66 20 74 68 65 72 65 |n error of there| 00001090 20 69 73 20 6e 6f 20 6d 6f 64 65 20 77 68 69 63 | is no mode whic| 000010a0 68 20 66 69 74 73 2e 20 0a 57 68 65 6e 20 63 68 |h fits. .When ch| 000010b0 6f 6f 73 69 6e 67 20 61 20 72 65 73 6f 6c 75 74 |oosing a resolut| 000010c0 69 6f 6e 2c 20 62 65 61 72 20 69 6e 20 6d 69 6e |ion, bear in min| 000010d0 64 20 74 68 61 74 20 68 69 67 68 65 72 20 72 65 |d that higher re| 000010e0 73 6f 6c 75 74 69 6f 6e 73 20 77 69 6c 6c 20 74 |solutions will t| 000010f0 61 6b 65 0a 6d 6f 72 65 20 66 72 61 6d 65 20 73 |ake.more frame s| 00001100 74 6f 72 61 67 65 20 73 70 61 63 65 2e 0a 0a 20 |torage space... | 00001110 20 20 20 20 22 56 69 65 77 22 20 73 70 65 63 69 | "View" speci| 00001120 66 69 65 73 20 74 68 65 20 61 6e 67 6c 65 20 66 |fies the angle f| 00001130 72 6f 6d 20 77 68 69 63 68 20 79 6f 75 20 6c 6f |rom which you lo| 00001140 6f 6b 20 61 74 20 74 68 65 20 73 63 65 6e 65 2e |ok at the scene.| 00001150 20 20 54 68 65 0a 6e 75 6d 62 65 72 73 20 61 72 | The.numbers ar| 00001160 65 20 61 6e 67 6c 65 73 20 69 6e 20 64 65 67 72 |e angles in degr| 00001170 65 65 73 2c 20 74 68 65 20 66 69 72 73 74 20 62 |ees, the first b| 00001180 65 69 6e 67 20 74 68 65 20 64 69 72 65 63 74 69 |eing the directi| 00001190 6f 6e 20 69 6e 20 74 68 65 20 78 2d 79 0a 70 6c |on in the x-y.pl| 000011a0 61 6e 65 2e 20 20 54 68 69 73 20 69 73 20 74 68 |ane. This is th| 000011b0 65 20 61 6e 67 6c 65 20 74 68 72 6f 75 67 68 20 |e angle through | 000011c0 77 68 69 63 68 20 74 68 65 20 73 63 65 6e 65 20 |which the scene | 000011d0 69 73 20 72 6f 74 61 74 65 64 20 61 62 6f 75 74 |is rotated about| 000011e0 20 74 68 65 0a 76 65 72 74 69 63 61 6c 20 61 78 | the.vertical ax| 000011f0 69 73 2e 20 20 49 66 20 74 68 69 73 20 69 73 20 |is. If this is | 00001200 30 2c 20 74 68 65 20 78 20 64 69 72 65 63 74 69 |0, the x directi| 00001210 6f 6e 20 69 73 20 68 6f 72 69 7a 6f 6e 74 61 6c |on is horizontal| 00001220 6c 79 20 61 63 72 6f 73 73 20 79 6f 75 72 0a 73 |ly across your.s| 00001230 63 72 65 65 6e 20 28 2b 78 20 6f 6e 20 74 68 65 |creen (+x on the| 00001240 20 72 69 67 68 74 2c 20 2d 79 20 6f 6e 20 74 68 | right, -y on th| 00001250 65 20 6c 65 66 74 29 20 61 6e 64 20 74 68 65 20 |e left) and the | 00001260 2b 79 20 64 69 72 65 63 74 69 6f 6e 20 69 73 20 |+y direction is | 00001270 6f 75 74 20 6f 66 20 74 68 65 0a 73 63 72 65 65 |out of the.scree| 00001280 6e 20 74 6f 77 61 72 64 73 20 79 6f 75 2e 20 20 |n towards you. | 00001290 54 68 65 20 73 65 63 6f 6e 64 20 6e 75 6d 62 65 |The second numbe| 000012a0 72 20 69 73 20 74 68 65 20 22 65 6c 65 76 61 74 |r is the "elevat| 000012b0 69 6f 6e 22 3a 20 61 6e 20 76 61 6c 75 65 20 6f |ion": an value o| 000012c0 66 20 7a 65 72 6f 0a 77 69 6c 6c 20 70 75 74 20 |f zero.will put | 000012d0 74 68 65 20 76 69 65 77 70 6f 69 6e 74 20 6f 6e |the viewpoint on| 000012e0 20 74 68 65 20 78 2d 79 20 70 6c 61 6e 65 20 28 | the x-y plane (| 000012f0 6c 6f 6f 6b 69 6e 67 20 68 6f 72 69 7a 6f 6e 74 |looking horizont| 00001300 61 6c 6c 79 2c 20 2b 7a 20 61 78 69 73 0a 76 65 |ally, +z axis.ve| 00001310 72 74 69 63 61 6c 6c 79 20 75 70 77 61 72 64 73 |rtically upwards| 00001320 29 2c 20 61 6e 64 20 61 6e 20 61 6e 67 6c 65 20 |), and an angle | 00001330 6f 66 20 39 30 20 77 6f 75 6c 64 20 68 61 76 65 |of 90 would have| 00001340 20 79 6f 75 20 6c 6f 6f 6b 69 6e 67 20 64 69 72 | you looking dir| 00001350 65 63 74 6c 79 20 64 6f 77 6e 0a 66 72 6f 6d 20 |ectly down.from | 00001360 61 62 6f 76 65 2e 0a 0a 20 20 20 20 20 54 68 65 |above... The| 00001370 20 22 62 61 63 6b 67 72 6f 75 6e 64 22 20 63 6f | "background" co| 00001380 6d 6d 61 6e 64 20 69 73 20 6f 70 74 69 6f 6e 61 |mmand is optiona| 00001390 6c 3a 20 69 66 20 79 6f 75 20 69 6e 63 6c 75 64 |l: if you includ| 000013a0 65 20 22 62 61 63 6b 67 72 6f 75 6e 64 20 62 61 |e "background ba| 000013b0 63 6b 22 0a 69 6e 20 74 68 65 20 72 65 6e 64 65 |ck".in the rende| 000013c0 72 69 6e 67 20 62 6c 6f 63 6b 2c 20 74 68 65 20 |ring block, the | 000013d0 70 72 6f 67 72 61 6d 20 61 73 73 75 6d 65 73 20 |program assumes | 000013e0 74 68 61 74 20 74 68 65 20 62 61 63 6b 67 72 6f |that the backgro| 000013f0 75 6e 64 20 6f 62 6a 65 63 74 28 73 29 0a 61 72 |und object(s).ar| 00001400 65 20 61 6c 77 61 79 73 20 62 65 68 69 6e 64 20 |e always behind | 00001410 74 68 65 20 73 6f 6c 69 64 20 6f 62 6a 65 63 74 |the solid object| 00001420 28 73 29 2c 20 61 6e 64 20 64 6f 65 73 20 6e 6f |(s), and does no| 00001430 74 20 72 65 64 72 61 77 20 74 68 65 20 62 61 63 |t redraw the bac| 00001440 6b 67 72 6f 75 6e 64 0a 65 76 65 72 79 20 66 72 |kground.every fr| 00001450 61 6d 65 2e 20 20 54 68 69 73 20 69 73 20 75 73 |ame. This is us| 00001460 65 66 75 6c 2c 20 66 6f 72 20 65 78 61 6d 70 6c |eful, for exampl| 00001470 65 2c 20 77 68 65 6e 20 74 68 65 20 62 61 63 6b |e, when the back| 00001480 67 72 6f 75 6e 64 20 69 73 20 61 20 73 65 74 20 |ground is a set | 00001490 6f 66 0a 73 74 61 69 72 73 2c 20 61 73 20 69 74 |of.stairs, as it| 000014a0 20 72 65 64 75 63 65 73 20 74 68 65 20 66 72 61 | reduces the fra| 000014b0 6d 65 20 64 72 61 77 69 6e 67 20 74 69 6d 65 2e |me drawing time.| 000014c0 20 20 54 68 65 20 64 65 66 61 75 6c 74 20 73 65 | The default se| 000014d0 74 74 69 6e 67 20 69 73 0a 22 62 61 63 6b 67 72 |tting is."backgr| 000014e0 6f 75 6e 64 20 6d 69 78 22 20 77 68 69 63 68 20 |ound mix" which | 000014f0 6c 65 74 73 20 74 68 65 20 62 61 63 6b 67 72 6f |lets the backgro| 00001500 75 6e 64 20 6f 62 6a 65 63 74 28 73 29 20 62 65 |und object(s) be| 00001510 20 70 61 72 74 6c 79 20 69 6e 20 66 72 6f 6e 74 | partly in front| 00001520 20 6f 66 0a 61 6e 64 20 70 61 72 74 6c 79 20 62 | of.and partly b| 00001530 65 68 69 6e 64 20 74 68 65 20 73 6f 6c 69 64 28 |ehind the solid(| 00001540 73 29 2e 0a 0a 20 20 20 20 20 54 68 65 20 6f 72 |s)... The or| 00001550 64 65 72 20 69 6e 20 77 68 69 63 68 20 61 6e 79 |der in which any| 00001560 20 6f 66 20 74 68 65 20 61 62 6f 76 65 20 6f 70 | of the above op| 00001570 74 69 6f 6e 73 20 61 72 65 20 61 72 72 61 6e 67 |tions are arrang| 00001580 65 64 20 64 6f 65 73 20 6e 6f 74 0a 6d 61 74 74 |ed does not.matt| 00001590 65 72 2c 20 61 73 20 6c 6f 6e 67 20 61 73 20 74 |er, as long as t| 000015a0 68 65 20 72 65 6e 64 65 72 69 6e 67 20 6f 70 74 |he rendering opt| 000015b0 69 6f 6e 73 20 61 72 65 20 6b 65 70 74 20 69 6e |ions are kept in| 000015c0 73 69 64 65 20 74 68 65 20 72 65 6e 64 65 72 69 |side the renderi| 000015d0 6e 67 0a 62 6c 6f 63 6b 2e 0a 0a 20 20 20 20 20 |ng.block... | 000015e0 43 52 45 41 54 49 4e 47 20 4f 42 4a 45 43 54 53 |CREATING OBJECTS| 000015f0 3a 20 42 41 43 4b 47 52 4f 55 4e 44 20 4f 42 4a |: BACKGROUND OBJ| 00001600 45 43 54 53 0a 20 20 20 20 20 42 61 63 6b 67 72 |ECTS. Backgr| 00001610 6f 75 6e 64 20 6f 62 6a 65 63 74 73 20 61 72 65 |ound objects are| 00001620 20 74 68 65 20 66 69 78 65 64 20 70 69 65 63 65 | the fixed piece| 00001630 73 20 6f 66 20 73 63 65 6e 65 72 79 20 77 68 69 |s of scenery whi| 00001640 63 68 20 74 68 65 20 6d 6f 76 69 6e 67 0a 6f 62 |ch the moving.ob| 00001650 6a 65 63 74 73 20 69 6e 74 65 72 61 63 74 20 77 |jects interact w| 00001660 69 74 68 2e 20 20 59 6f 75 20 63 61 6e 20 68 61 |ith. You can ha| 00001670 76 65 20 61 73 20 6d 61 6e 79 20 62 61 63 6b 67 |ve as many backg| 00001680 72 6f 75 6e 64 20 6f 62 6a 65 63 74 73 20 61 73 |round objects as| 00001690 20 79 6f 75 20 77 61 6e 74 3a 0a 74 68 65 79 20 | you want:.they | 000016a0 61 72 65 20 61 6c 6c 20 63 72 65 61 74 65 64 20 |are all created | 000016b0 61 74 20 74 68 65 20 6f 72 69 67 69 6e 20 62 75 |at the origin bu| 000016c0 74 20 74 68 65 79 20 63 61 6e 20 62 65 20 6d 6f |t they can be mo| 000016d0 76 65 64 20 74 6f 20 61 6e 79 20 70 6f 73 69 74 |ved to any posit| 000016e0 69 6f 6e 2e 0a 20 20 20 20 20 54 68 65 20 73 63 |ion.. The sc| 000016f0 72 69 70 74 20 74 6f 20 63 72 65 61 74 65 20 61 |ript to create a| 00001700 20 62 61 63 6b 67 72 6f 75 6e 64 20 6f 62 6a 65 | background obje| 00001710 63 74 20 69 73 20 61 73 20 66 6f 6c 6c 6f 77 73 |ct is as follows| 00001720 3a 0a 20 20 20 20 20 20 20 20 20 20 62 61 63 6b |:. back| 00001730 67 72 6f 75 6e 64 20 7b 0a 20 20 20 20 20 20 20 |ground {. | 00001740 20 20 20 20 63 72 65 61 74 65 20 7b 0a 20 20 20 | create {. | 00001750 20 20 20 20 20 20 20 20 20 74 79 70 65 20 3c 6f | type <o| 00001760 62 6a 65 63 74 5f 74 79 70 65 3e 0a 20 20 20 20 |bject_type>. | 00001770 20 20 20 20 20 20 20 20 70 6f 69 6e 74 73 20 3c | points <| 00001780 70 6f 69 6e 74 73 5f 73 70 65 63 3e 0a 20 20 20 |points_spec>. | 00001790 20 20 20 20 20 20 20 20 20 73 69 7a 65 20 3c 73 | size <s| 000017a0 69 7a 65 5f 73 70 65 63 3e 0a 20 20 20 20 20 20 |ize_spec>. | 000017b0 20 20 20 20 20 7d 0a 20 20 20 20 20 20 20 20 20 | }. | 000017c0 20 20 74 72 61 6e 73 6c 61 74 65 20 3c 78 3e 2c | translate <x>,| 000017d0 3c 79 3e 2c 3c 7a 3e 0a 20 20 20 20 20 20 20 20 |<y>,<z>. | 000017e0 20 20 7d 0a 20 20 20 20 20 54 68 65 20 69 6e 64 | }. The ind| 000017f0 65 6e 74 61 74 69 6f 6e 20 69 73 20 6f 70 74 69 |entation is opti| 00001800 6f 6e 61 6c 3a 20 69 74 20 77 61 73 20 61 64 64 |onal: it was add| 00001810 65 64 20 66 6f 72 20 63 6c 61 72 69 74 79 2e 20 |ed for clarity. | 00001820 20 54 68 65 20 66 69 72 73 74 20 74 68 69 6e 67 | The first thing| 00001830 0a 69 6e 20 61 20 62 61 63 6b 67 72 6f 75 6e 64 |.in a background| 00001840 20 62 6c 6f 63 6b 20 6d 75 73 74 20 62 65 20 61 | block must be a| 00001850 20 63 72 65 61 74 65 20 62 6c 6f 63 6b 2c 20 61 | create block, a| 00001860 6e 64 20 74 68 65 72 65 20 6d 75 73 74 20 62 65 |nd there must be| 00001870 20 6f 6e 6c 79 20 6f 6e 65 20 6f 66 0a 74 68 65 | only one of.the| 00001880 73 65 2e 20 20 54 68 65 20 74 72 61 6e 73 6c 61 |se. The transla| 00001890 74 65 20 63 6f 6d 6d 61 6e 64 20 69 73 20 6f 70 |te command is op| 000018a0 74 69 6f 6e 61 6c 2c 20 61 6e 64 20 74 68 65 72 |tional, and ther| 000018b0 65 20 6d 61 79 20 62 65 20 61 6e 79 20 6e 75 6d |e may be any num| 000018c0 62 65 72 20 6f 66 0a 74 68 65 73 65 2e 20 20 54 |ber of.these. T| 000018d0 68 65 20 74 68 72 65 65 20 70 61 72 61 6d 65 74 |he three paramet| 000018e0 65 72 73 20 61 72 65 20 74 68 65 20 61 6d 6f 75 |ers are the amou| 000018f0 6e 74 73 20 62 79 20 77 68 69 63 68 20 74 6f 20 |nts by which to | 00001900 6d 6f 76 65 20 74 68 65 20 6f 62 6a 65 63 74 20 |move the object | 00001910 69 6e 0a 74 68 65 20 78 2c 20 79 20 61 6e 64 20 |in.the x, y and | 00001920 7a 20 64 69 72 65 63 74 69 6f 6e 73 2e 20 20 41 |z directions. A| 00001930 6c 6c 20 64 69 73 74 61 6e 63 65 73 20 73 68 6f |ll distances sho| 00001940 75 6c 64 20 62 65 20 66 6f 6c 6c 6f 77 65 64 20 |uld be followed | 00001950 62 79 20 61 20 75 6e 69 74 2c 20 65 67 0a 33 2e |by a unit, eg.3.| 00001960 33 69 6e 20 28 77 69 74 68 20 6e 6f 20 73 65 70 |3in (with no sep| 00001970 61 72 61 74 69 6e 67 20 73 70 61 63 65 29 2e 20 |arating space). | 00001980 20 55 6e 69 74 73 20 72 65 63 6f 67 6e 69 7a 65 | Units recognize| 00001990 64 20 61 72 65 20 69 6e 2c 20 66 74 2c 20 63 6d |d are in, ft, cm| 000019a0 20 61 6e 64 20 6d 6d 2e 20 0a 54 68 65 20 64 65 | and mm. .The de| 000019b0 66 61 75 6c 74 20 75 6e 69 74 20 69 73 20 31 2f |fault unit is 1/| 000019c0 36 34 30 20 6f 66 20 61 20 70 72 69 6e 74 65 72 |640 of a printer| 000019d0 27 73 20 70 6f 69 6e 74 20 28 61 20 76 65 72 79 |'s point (a very| 000019e0 20 73 6d 61 6c 6c 20 64 69 73 74 61 6e 63 65 29 | small distance)| 000019f0 2c 20 73 6f 0a 69 66 20 74 68 65 20 74 72 61 6e |, so.if the tran| 00001a00 73 6c 61 74 65 20 63 6f 6d 6d 61 6e 64 20 68 61 |slate command ha| 00001a10 73 20 6e 6f 20 76 69 73 69 62 6c 65 20 65 66 66 |s no visible eff| 00001a20 65 63 74 2c 20 63 68 65 63 6b 20 74 68 65 20 75 |ect, check the u| 00001a30 6e 69 74 73 2e 0a 20 20 20 20 20 54 68 65 20 66 |nits.. The f| 00001a40 69 72 73 74 20 77 6f 72 64 20 69 6e 20 74 68 65 |irst word in the| 00001a50 20 63 72 65 61 74 65 20 62 6c 6f 63 6b 20 6d 75 | create block mu| 00001a60 73 74 20 62 65 20 22 74 79 70 65 22 2c 20 62 65 |st be "type", be| 00001a70 63 61 75 73 65 20 74 68 65 20 65 66 66 65 63 74 |cause the effect| 00001a80 0a 6f 66 20 74 68 65 20 22 70 6f 69 6e 74 73 22 |.of the "points"| 00001a90 20 61 6e 64 20 22 73 69 7a 65 22 20 63 6f 6d 6d | and "size" comm| 00001aa0 61 6e 64 73 20 61 72 65 20 64 65 70 65 6e 64 61 |ands are dependa| 00001ab0 6e 74 20 6f 6e 20 74 68 65 20 6f 62 6a 65 63 74 |nt on the object| 00001ac0 20 74 79 70 65 2e 20 20 46 6f 72 20 61 0a 62 61 | type. For a.ba| 00001ad0 63 6b 67 72 6f 75 6e 64 20 6f 62 6a 65 63 74 2c |ckground object,| 00001ae0 20 3c 6f 62 6a 65 63 74 5f 74 79 70 65 3e 20 6d | <object_type> m| 00001af0 75 73 74 20 62 65 20 6f 6e 65 20 6f 66 20 22 73 |ust be one of "s| 00001b00 68 65 65 74 22 2c 20 22 73 70 68 65 72 65 22 20 |heet", "sphere" | 00001b10 6f 72 0a 22 73 74 61 69 72 73 22 2e 0a 0a 54 48 |or."stairs"...TH| 00001b20 45 20 53 50 48 45 52 45 20 4f 42 4a 45 43 54 0a |E SPHERE OBJECT.| 00001b30 20 20 20 20 20 54 68 69 73 20 68 61 73 20 6f 6e | This has on| 00001b40 65 20 22 70 6f 69 6e 74 73 22 20 70 61 72 61 6d |e "points" param| 00001b50 65 74 65 72 20 61 6e 64 20 6f 6e 65 20 22 73 69 |eter and one "si| 00001b60 7a 65 22 20 70 61 72 61 6d 65 74 65 72 2c 20 69 |ze" parameter, i| 00001b70 2e 65 2e 20 74 68 65 20 77 6f 72 64 0a 22 70 6f |.e. the word."po| 00001b80 69 6e 74 73 22 20 6d 75 73 74 20 62 65 20 66 6f |ints" must be fo| 00001b90 6c 6c 6f 77 65 64 20 62 79 20 6f 6e 65 20 6e 75 |llowed by one nu| 00001ba0 6d 62 65 72 2c 20 61 6e 64 20 22 73 69 7a 65 22 |mber, and "size"| 00001bb0 20 6d 75 73 74 20 62 65 20 66 6f 6c 6c 6f 77 65 | must be followe| 00001bc0 64 20 62 79 20 61 0a 64 69 73 74 61 6e 63 65 2e |d by a.distance.| 00001bd0 20 20 54 68 65 20 70 72 65 76 69 6f 75 73 20 72 | The previous r| 00001be0 65 6d 61 72 6b 73 20 61 62 6f 75 74 20 75 6e 69 |emarks about uni| 00001bf0 74 73 20 66 6f 72 20 64 69 73 74 61 6e 63 65 73 |ts for distances| 00001c00 20 61 6c 73 6f 20 61 70 70 6c 79 20 74 6f 20 61 | also apply to a| 00001c10 6c 6c 0a 73 69 7a 65 20 70 61 72 61 6d 65 74 65 |ll.size paramete| 00001c20 72 73 2e 20 20 54 68 65 20 73 69 7a 65 20 70 61 |rs. The size pa| 00001c30 72 61 6d 65 74 65 72 20 66 6f 72 20 61 20 73 70 |rameter for a sp| 00001c40 68 65 72 65 20 73 65 74 73 20 69 74 73 20 72 61 |here sets its ra| 00001c50 64 69 75 73 2e 20 20 54 68 65 0a 70 6f 69 6e 74 |dius. The.point| 00001c60 73 20 70 61 72 61 6d 65 74 65 72 20 73 65 74 73 |s parameter sets| 00001c70 20 74 68 65 20 6e 75 6d 62 65 72 20 6f 66 20 70 | the number of p| 00001c80 6f 69 6e 74 73 20 75 73 65 64 20 74 6f 20 64 72 |oints used to dr| 00001c90 61 77 20 74 68 65 20 73 70 68 65 72 65 3a 20 69 |aw the sphere: i| 00001ca0 66 20 74 68 69 73 0a 70 61 72 61 6d 65 74 65 72 |f this.parameter| 00001cb0 20 69 73 20 50 2c 20 74 68 65 20 6e 75 6d 62 65 | is P, the numbe| 00001cc0 72 20 6f 66 20 70 6f 69 6e 74 73 20 75 73 65 64 |r of points used| 00001cd0 20 69 73 20 32 20 78 20 50 20 78 20 50 2e 20 20 | is 2 x P x P. | 00001ce0 54 68 65 72 65 20 61 72 65 20 50 20 72 69 6e 67 |There are P ring| 00001cf0 73 0a 6f 66 20 70 6f 69 6e 74 73 2c 20 65 61 63 |s.of points, eac| 00001d00 68 20 63 6f 6e 74 61 69 6e 69 6e 67 20 32 50 20 |h containing 2P | 00001d10 70 6f 69 6e 74 73 2e 20 20 31 32 20 69 73 20 61 |points. 12 is a| 00001d20 6e 20 61 64 65 71 75 61 74 65 20 76 61 6c 75 65 |n adequate value| 00001d30 20 66 6f 72 20 74 68 69 73 0a 70 61 72 61 6d 65 | for this.parame| 00001d40 74 65 72 2e 0a 20 20 20 20 20 59 6f 75 20 73 68 |ter.. You sh| 00001d50 6f 75 6c 64 20 61 76 6f 69 64 20 63 72 65 61 74 |ould avoid creat| 00001d60 69 6e 67 20 6f 62 6a 65 63 74 73 20 77 68 69 63 |ing objects whic| 00001d70 68 20 65 78 74 65 6e 64 20 69 6e 74 6f 20 61 20 |h extend into a | 00001d80 73 70 68 65 72 65 2c 20 62 65 63 61 75 73 65 0a |sphere, because.| 00001d90 74 68 65 73 65 20 77 69 6c 6c 20 62 65 20 65 6a |these will be ej| 00001da0 65 63 74 65 64 20 6f 75 74 77 61 72 64 73 20 76 |ected outwards v| 00001db0 69 6f 6c 65 6e 74 6c 79 2e 0a 0a 54 48 45 20 53 |iolently...THE S| 00001dc0 48 45 45 54 20 4f 42 4a 45 43 54 0a 20 20 20 20 |HEET OBJECT. | 00001dd0 20 54 68 69 73 20 68 61 73 20 6f 6e 65 20 22 70 | This has one "p| 00001de0 6f 69 6e 74 73 22 20 70 61 72 61 6d 65 74 65 72 |oints" parameter| 00001df0 20 61 6e 64 20 6f 6e 65 20 22 73 69 7a 65 22 20 | and one "size" | 00001e00 70 61 72 61 6d 65 74 65 72 2e 20 20 53 68 65 65 |parameter. Shee| 00001e10 74 73 20 61 72 65 0a 61 6c 77 61 79 73 20 73 71 |ts are.always sq| 00001e20 75 61 72 65 3a 20 74 68 65 20 70 6f 69 6e 74 73 |uare: the points| 00001e30 20 70 61 72 61 6d 65 74 65 72 20 73 65 74 73 20 | parameter sets | 00001e40 74 68 65 20 6e 75 6d 62 65 72 20 6f 66 20 70 6f |the number of po| 00001e50 69 6e 74 73 20 61 6c 6f 6e 67 20 6f 6e 65 0a 73 |ints along one.s| 00001e60 69 64 65 2c 20 61 6e 64 20 74 68 65 20 73 69 7a |ide, and the siz| 00001e70 65 20 70 61 72 61 6d 65 74 65 72 20 73 65 74 73 |e parameter sets| 00001e80 20 74 68 65 20 6c 65 6e 67 74 68 20 6f 66 20 6f | the length of o| 00001e90 6e 65 20 73 69 64 65 2e 20 20 46 6f 72 20 65 78 |ne side. For ex| 00001ea0 61 6d 70 6c 65 2c 20 69 66 0a 79 6f 75 20 75 73 |ample, if.you us| 00001eb0 65 20 22 70 6f 69 6e 74 73 20 32 31 22 20 61 6e |e "points 21" an| 00001ec0 64 20 22 73 69 7a 65 20 35 69 6e 22 20 74 68 65 |d "size 5in" the| 00001ed0 20 70 72 6f 67 72 61 6d 20 77 69 6c 6c 20 63 72 | program will cr| 00001ee0 65 61 74 65 20 61 20 73 68 65 65 74 20 77 69 74 |eate a sheet wit| 00001ef0 68 20 32 31 20 78 0a 32 31 20 3d 20 34 34 31 20 |h 21 x.21 = 441 | 00001f00 70 6f 69 6e 74 73 2c 20 73 6f 20 69 66 20 79 6f |points, so if yo| 00001f10 75 20 75 73 65 20 22 6c 69 6e 65 73 22 20 61 73 |u use "lines" as| 00001f20 20 74 68 65 20 72 65 6e 64 65 72 69 6e 67 20 74 | the rendering t| 00001f30 79 70 65 20 74 68 65 20 73 68 65 65 74 20 77 69 |ype the sheet wi| 00001f40 6c 6c 0a 62 65 20 64 69 76 69 64 65 64 20 69 6e |ll.be divided in| 00001f50 74 6f 20 32 30 20 78 20 32 30 20 73 71 75 61 72 |to 20 x 20 squar| 00001f60 65 73 2c 20 65 61 63 68 20 30 2e 32 35 69 6e 20 |es, each 0.25in | 00001f70 78 20 30 2e 32 35 69 6e 2e 20 20 54 68 65 20 73 |x 0.25in. The s| 00001f80 68 65 65 74 20 69 73 20 63 72 65 61 74 65 64 0a |heet is created.| 00001f90 68 6f 72 69 7a 6f 6e 74 61 6c 20 28 69 65 2e 20 |horizontal (ie. | 00001fa0 6f 6e 20 74 68 65 20 78 2d 79 20 70 6c 61 6e 65 |on the x-y plane| 00001fb0 29 20 61 6e 64 20 63 65 6e 74 72 65 64 20 6f 6e |) and centred on| 00001fc0 20 74 68 65 20 6f 72 69 67 69 6e 2c 20 73 6f 20 | the origin, so | 00001fd0 69 6e 20 74 68 65 20 61 62 6f 76 65 0a 65 78 61 |in the above.exa| 00001fe0 6d 70 6c 65 20 74 68 65 20 73 68 65 65 74 20 77 |mple the sheet w| 00001ff0 6f 75 6c 64 20 65 78 74 65 6e 64 20 66 72 6f 6d |ould extend from| 00002000 20 2d 35 69 6e 20 74 6f 20 2b 35 69 6e 20 69 6e | -5in to +5in in| 00002010 20 74 68 65 20 78 20 64 69 72 65 63 74 69 6f 6e | the x direction| 00002020 2c 20 66 72 6f 6d 0a 2d 35 69 6e 20 74 6f 20 2b |, from.-5in to +| 00002030 35 69 6e 20 69 6e 20 74 68 65 20 79 20 64 69 72 |5in in the y dir| 00002040 65 63 74 69 6f 6e 2c 20 61 6e 64 20 68 61 76 65 |ection, and have| 00002050 20 7a 3d 30 20 66 6f 72 20 61 6c 6c 20 70 6f 69 | z=0 for all poi| 00002060 6e 74 73 2e 0a 20 20 20 20 20 57 68 65 6e 20 74 |nts.. When t| 00002070 68 65 20 73 68 65 65 74 20 69 73 20 63 72 65 61 |he sheet is crea| 00002080 74 65 64 20 61 73 20 61 20 62 61 63 6b 67 72 6f |ted as a backgro| 00002090 75 6e 64 20 6f 62 6a 65 63 74 2c 20 69 74 20 64 |und object, it d| 000020a0 65 66 69 6e 65 73 20 61 20 22 66 6c 6f 6f 72 22 |efines a "floor"| 000020b0 2e 20 0a 4e 6f 20 73 6f 6c 69 64 20 77 69 6c 6c |. .No solid will| 000020c0 20 62 65 20 61 6c 6c 6f 77 65 64 20 74 6f 20 70 | be allowed to p| 000020d0 61 73 73 20 62 65 6c 6f 77 20 74 68 65 20 68 65 |ass below the he| 000020e0 69 67 68 74 20 6f 66 20 74 68 65 20 73 68 65 65 |ight of the shee| 000020f0 74 2e 20 20 59 6f 75 20 73 68 6f 75 6c 64 0a 61 |t. You should.a| 00002100 76 6f 69 64 20 63 72 65 61 74 69 6e 67 20 6f 62 |void creating ob| 00002110 6a 65 63 74 73 20 77 68 69 63 68 20 65 78 74 65 |jects which exte| 00002120 6e 64 20 62 65 6c 6f 77 20 74 68 65 20 66 6c 6f |nd below the flo| 00002130 6f 72 2c 20 62 65 63 61 75 73 65 20 74 68 65 73 |or, because thes| 00002140 65 20 77 69 6c 6c 20 62 65 0a 65 6a 65 63 74 65 |e will be.ejecte| 00002150 64 20 75 70 77 61 72 64 73 20 76 69 6f 6c 65 6e |d upwards violen| 00002160 74 6c 79 2e 20 20 4e 6f 74 65 20 74 68 61 74 20 |tly. Note that | 00002170 74 68 65 20 66 6c 6f 6f 72 20 65 66 66 65 63 74 |the floor effect| 00002180 20 64 6f 65 73 20 6e 6f 74 20 64 65 70 65 6e 64 | does not depend| 00002190 20 6f 6e 0a 74 68 65 20 73 69 7a 65 20 6f 66 20 | on.the size of | 000021a0 74 68 65 20 73 68 65 65 74 2c 20 6f 6e 6c 79 20 |the sheet, only | 000021b0 6f 6e 20 69 74 73 20 76 65 72 74 69 63 61 6c 20 |on its vertical | 000021c0 70 6f 73 69 74 69 6f 6e 2e 3a 20 74 68 65 20 65 |position.: the e| 000021d0 66 66 65 63 74 69 76 65 20 66 6c 6f 6f 72 0a 69 |ffective floor.i| 000021e0 73 20 61 6e 20 69 6e 66 69 6e 69 74 65 20 70 6c |s an infinite pl| 000021f0 61 6e 65 20 61 74 20 74 68 65 20 73 61 6d 65 20 |ane at the same | 00002200 68 65 69 67 68 74 20 61 73 20 74 68 65 20 73 68 |height as the sh| 00002210 65 65 74 2e 20 20 49 66 20 79 6f 75 20 77 61 6e |eet. If you wan| 00002220 74 65 64 20 61 6e 0a 69 6e 76 69 73 69 62 6c 65 |ted an.invisible| 00002230 20 66 6c 6f 6f 72 2c 20 74 68 65 72 65 66 6f 72 | floor, therefor| 00002240 65 2c 20 79 6f 75 20 63 6f 75 6c 64 20 63 72 65 |e, you could cre| 00002250 61 74 65 20 61 20 73 6d 61 6c 6c 20 73 68 65 65 |ate a small shee| 00002260 74 20 77 69 74 68 20 70 6f 69 6e 74 73 20 73 65 |t with points se| 00002270 74 0a 74 6f 20 32 2c 20 61 6e 64 20 6d 6f 76 65 |t.to 2, and move| 00002280 20 69 74 20 6f 75 74 20 6f 66 20 73 69 67 68 74 | it out of sight| 00002290 20 69 6e 20 74 68 65 20 78 20 6f 72 20 79 20 64 | in the x or y d| 000022a0 69 72 65 63 74 69 6f 6e 2e 0a 0a 54 48 45 20 53 |irection...THE S| 000022b0 54 41 49 52 53 20 4f 42 4a 45 43 54 0a 20 20 20 |TAIRS OBJECT. | 000022c0 20 20 42 65 69 6e 67 20 61 20 6d 6f 72 65 20 63 | Being a more c| 000022d0 6f 6d 70 6c 65 78 20 6f 62 6a 65 63 74 2c 20 74 |omplex object, t| 000022e0 68 69 73 20 74 61 6b 65 73 20 74 68 72 65 65 20 |his takes three | 000022f0 70 6f 69 6e 74 73 20 70 61 72 61 6d 65 74 65 72 |points parameter| 00002300 73 20 61 6e 64 0a 74 68 72 65 65 20 73 69 7a 65 |s and.three size| 00002310 20 70 61 72 61 6d 65 74 65 72 73 2e 20 20 4a 75 | parameters. Ju| 00002320 73 74 20 74 6f 20 63 6f 6e 66 75 73 65 20 74 68 |st to confuse th| 00002330 69 6e 67 73 2c 20 74 68 65 20 70 6f 69 6e 74 73 |ings, the points| 00002340 20 70 61 72 61 6d 65 74 65 72 73 20 64 6f 20 6e | parameters do n| 00002350 6f 74 0a 63 6f 72 72 65 73 70 6f 6e 64 20 74 6f |ot.correspond to| 00002360 20 74 68 65 20 73 61 6d 65 20 66 65 61 74 75 72 | the same featur| 00002370 65 73 20 61 73 20 74 68 65 20 73 69 7a 65 20 70 |es as the size p| 00002380 61 72 61 6d 65 74 65 72 73 2c 20 75 6e 6c 69 6b |arameters, unlik| 00002390 65 20 74 68 65 20 6f 74 68 65 72 0a 6f 62 6a 65 |e the other.obje| 000023a0 63 74 73 2e 20 20 4c 65 74 27 73 20 74 61 6b 65 |cts. Let's take| 000023b0 20 74 68 65 20 73 69 7a 65 20 70 61 72 61 6d 65 | the size parame| 000023c0 74 65 72 73 20 66 69 72 73 74 3b 20 74 68 65 73 |ters first; thes| 000023d0 65 20 61 72 65 3a 0a 20 20 20 20 20 20 20 20 20 |e are:. | 000023e0 20 73 69 7a 65 20 3c 73 74 65 70 5f 77 69 64 74 | size <step_widt| 000023f0 68 3e 2c 3c 73 74 65 70 5f 68 65 69 67 68 74 3e |h>,<step_height>| 00002400 2c 3c 73 74 65 70 5f 64 65 70 74 68 3e 0a 20 20 |,<step_depth>. | 00002410 20 20 20 54 68 65 73 65 20 61 72 65 20 71 75 69 | These are qui| 00002420 74 65 20 6f 62 76 69 6f 75 73 3a 20 3c 73 74 65 |te obvious: <ste| 00002430 70 5f 77 69 64 74 68 3e 20 69 73 20 74 68 65 20 |p_width> is the | 00002440 77 69 64 74 68 20 6f 66 20 74 68 65 20 73 74 65 |width of the ste| 00002450 70 73 20 61 6c 6f 6e 67 0a 74 68 65 20 78 20 61 |ps along.the x a| 00002460 78 69 73 20 28 73 65 65 20 64 69 61 67 72 61 6d |xis (see diagram| 00002470 20 62 65 6c 6f 77 29 2c 20 3c 73 74 65 70 5f 68 | below), <step_h| 00002480 65 69 67 68 74 3e 20 69 73 20 74 68 65 20 61 6d |eight> is the am| 00002490 6f 75 6e 74 20 79 6f 75 20 77 6f 75 6c 64 20 68 |ount you would h| 000024a0 61 76 65 0a 74 6f 20 6c 69 66 74 20 79 6f 75 72 |ave.to lift your| 000024b0 20 66 65 65 74 20 28 7a 20 64 69 72 65 63 74 69 | feet (z directi| 000024c0 6f 6e 29 20 61 6e 64 20 3c 73 74 65 70 5f 64 65 |on) and <step_de| 000024d0 70 74 68 3e 20 69 73 20 74 68 65 20 61 6d 6f 75 |pth> is the amou| 000024e0 6e 74 20 6f 66 20 72 6f 6f 6d 20 79 6f 75 0a 68 |nt of room you.h| 000024f0 61 76 65 20 66 6f 72 20 79 6f 75 72 20 66 65 65 |ave for your fee| 00002500 74 20 6f 6e 20 65 61 63 68 20 73 74 65 70 20 28 |t on each step (| 00002510 79 20 64 69 72 65 63 74 69 6f 6e 29 2e 0a 20 20 |y direction).. | 00002520 20 20 20 54 68 65 20 70 6f 69 6e 74 73 20 70 61 | The points pa| 00002530 72 61 6d 65 74 65 72 73 20 61 72 65 3a 0a 20 20 |rameters are:. | 00002540 20 20 20 20 20 20 20 20 70 6f 69 6e 74 73 20 3c | points <| 00002550 70 74 73 5f 77 69 64 74 68 3e 2c 3c 73 74 65 70 |pts_width>,<step| 00002560 73 3e 2c 3c 70 74 73 5f 64 65 70 74 68 3e 0a 20 |s>,<pts_depth>. | 00002570 20 20 20 20 54 68 65 20 66 69 72 73 74 20 61 6e | The first an| 00002580 64 20 74 68 69 72 64 20 6f 66 20 74 68 65 73 65 |d third of these| 00002590 20 6a 75 73 74 20 73 65 74 20 74 68 65 20 6e 75 | just set the nu| 000025a0 6d 62 65 72 20 6f 66 20 70 6f 69 6e 74 73 20 75 |mber of points u| 000025b0 73 65 64 20 74 6f 20 64 72 61 77 0a 74 68 65 20 |sed to draw.the | 000025c0 68 6f 72 69 7a 6f 6e 74 61 6c 20 70 61 72 74 20 |horizontal part | 000025d0 6f 66 20 74 68 65 20 73 74 65 70 73 3a 20 74 68 |of the steps: th| 000025e0 65 20 73 65 63 6f 6e 64 20 69 73 20 75 6e 75 73 |e second is unus| 000025f0 75 61 6c 20 69 6e 20 74 68 61 74 20 69 74 20 63 |ual in that it c| 00002600 68 61 6e 67 65 73 0a 74 68 65 20 73 69 7a 65 20 |hanges.the size | 00002610 6f 66 20 74 68 65 20 6f 62 6a 65 63 74 2c 20 73 |of the object, s| 00002620 69 6e 63 65 20 69 74 20 73 65 74 73 20 74 68 65 |ince it sets the| 00002630 20 6e 75 6d 62 65 72 20 6f 66 20 73 74 65 70 73 | number of steps| 00002640 2e 0a 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 |... | 00002650 20 20 2b 0a 20 20 20 20 20 20 20 20 20 20 20 20 | +. | 00002660 20 20 20 7c 5c 0a 20 20 20 20 20 20 20 20 20 20 | |\. | 00002670 20 2b 2d 2d 2d 2b 20 5c 20 20 20 20 20 41 78 65 | +---+ \ Axe| 00002680 73 3a 0a 20 20 20 20 20 20 20 20 20 20 20 7c 5c |s:. |\| 00002690 20 20 20 5c 20 5c 20 20 20 20 20 20 7a 0a 20 20 | \ \ z. | 000026a0 20 20 20 20 20 2b 2d 2d 2d 2b 20 5c 20 20 20 5c | +---+ \ \| 000026b0 20 2b 20 20 20 20 20 7c 0a 20 20 20 20 20 20 20 | + |. | 000026c0 7c 5c 20 20 20 5c 20 5c 20 20 20 5c 7c 20 20 20 ||\ \ \ \| | 000026d0 20 20 7c 0a 20 20 20 2b 2d 2d 2d 2b 20 5c 20 20 | |. +---+ \ | 000026e0 20 5c 20 2b 2d 2d 2d 2b 20 20 20 20 20 2a 2d 2d | \ +---+ *--| 000026f0 2d 2d 2d 79 0a 20 20 20 20 5c 20 20 20 5c 20 5c |---y. \ \ \| 00002700 20 20 20 5c 7c 20 20 20 20 20 20 20 20 20 20 5c | \| \| 00002710 0a 20 20 20 20 20 4f 20 20 20 5c 20 2b 2d 2d 2d |. O \ +---| 00002720 2b 20 20 20 20 20 20 20 20 20 20 20 5c 0a 20 20 |+ \. | 00002730 20 20 20 20 5c 20 20 20 5c 7c 20 20 20 20 20 20 | \ \| | 00002740 20 20 20 20 20 20 20 20 20 20 78 0a 20 20 20 20 | x. | 00002750 20 20 20 2b 2d 2d 2d 2b 20 20 20 20 20 20 20 20 | +---+ | 00002760 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 | | 00002770 4f 20 69 73 20 74 68 65 20 70 6f 73 69 74 69 6f |O is the positio| 00002780 6e 20 6f 66 20 74 68 65 20 6f 72 69 67 69 6e 0a |n of the origin.| 00002790 0a 20 20 20 20 20 54 68 65 20 61 62 6f 76 65 20 |. The above | 000027a0 64 69 61 67 72 61 6d 20 73 68 6f 77 73 20 74 68 |diagram shows th| 000027b0 65 20 6f 72 69 65 6e 74 61 74 69 6f 6e 20 61 6e |e orientation an| 000027c0 64 20 69 6e 69 74 69 61 6c 20 70 6f 73 69 74 69 |d initial positi| 000027d0 6f 6e 20 6f 66 20 74 68 65 0a 73 74 61 69 72 73 |on of the.stairs| 000027e0 2e 20 20 59 6f 75 20 77 69 6c 6c 20 6e 6f 72 6d |. You will norm| 000027f0 61 6c 6c 79 20 77 61 6e 74 20 74 6f 20 74 72 61 |ally want to tra| 00002800 6e 73 6c 61 74 65 20 74 68 65 20 73 74 61 69 72 |nslate the stair| 00002810 73 20 69 6e 20 74 68 65 20 2d 79 2c 2d 7a 0a 64 |s in the -y,-z.d| 00002820 69 72 65 63 74 69 6f 6e 20 61 66 74 65 72 20 63 |irection after c| 00002830 72 65 61 74 69 6e 67 20 74 68 65 6d 2e 20 20 4e |reating them. N| 00002840 6f 74 65 20 74 68 61 74 20 64 75 65 20 74 6f 20 |ote that due to | 00002850 74 68 65 20 6f 72 69 65 6e 74 61 74 69 6f 6e 2c |the orientation,| 00002860 20 74 68 65 20 66 69 72 73 74 0a 76 69 65 77 20 | the first.view | 00002870 70 61 72 61 6d 65 74 65 72 20 77 69 6c 6c 20 6e |parameter will n| 00002880 65 65 64 20 74 6f 20 62 65 20 62 65 74 77 65 65 |eed to be betwee| 00002890 6e 20 39 30 20 61 6e 64 20 32 37 30 20 66 6f 72 |n 90 and 270 for| 000028a0 20 74 68 65 20 76 69 65 77 70 6f 69 6e 74 20 74 | the viewpoint t| 000028b0 6f 20 62 65 20 6f 6e 0a 74 68 65 20 72 69 67 68 |o be on.the righ| 000028c0 74 20 73 69 64 65 20 6f 66 20 74 68 65 20 73 74 |t side of the st| 000028d0 61 69 72 73 2e 0a 20 20 20 20 20 4c 69 6b 65 20 |airs.. Like | 000028e0 74 68 65 20 73 68 65 65 74 2c 20 74 68 65 20 65 |the sheet, the e| 000028f0 78 74 65 6e 74 20 6f 66 20 74 68 65 20 73 74 61 |xtent of the sta| 00002900 69 72 73 20 69 73 20 69 6e 20 66 61 63 74 20 69 |irs is in fact i| 00002910 6e 66 69 6e 69 74 65 3a 20 73 6f 6c 69 64 73 20 |nfinite: solids | 00002920 64 6f 0a 6e 6f 74 20 66 61 6c 6c 20 6f 66 66 20 |do.not fall off | 00002930 74 68 65 20 73 69 64 65 73 20 6f 66 20 74 68 65 |the sides of the| 00002940 20 73 74 61 69 72 73 2c 20 61 6e 64 20 74 68 65 | stairs, and the| 00002950 20 73 74 61 69 72 73 20 63 6f 6e 74 69 6e 75 65 | stairs continue| 00002960 20 61 62 6f 76 65 20 61 6e 64 0a 62 65 6c 6f 77 | above and.below| 00002970 20 74 68 6f 73 65 20 77 68 69 63 68 20 61 72 65 | those which are| 00002980 20 76 69 73 69 62 6c 65 2e 0a 0a 0a 20 20 20 20 | visible.... | 00002990 20 43 52 45 41 54 49 4e 47 20 4f 42 4a 45 43 54 | CREATING OBJECT| 000029a0 53 3a 20 53 4f 4c 49 44 20 4f 42 4a 45 43 54 53 |S: SOLID OBJECTS| 000029b0 0a 0a 20 20 20 20 20 20 20 20 20 20 73 6f 6c 69 |.. soli| 000029c0 64 20 7b 0a 20 20 20 20 20 20 20 20 20 20 20 63 |d {. c| 000029d0 72 65 61 74 65 20 7b 0a 20 20 20 20 20 20 20 20 |reate {. | 000029e0 20 20 20 20 74 79 70 65 20 3c 6f 62 6a 65 63 74 | type <object| 000029f0 5f 74 79 70 65 3e 0a 20 20 20 20 20 20 20 20 20 |_type>. | 00002a00 20 20 20 70 6f 69 6e 74 73 20 3c 70 6f 69 6e 74 | points <point| 00002a10 73 5f 73 70 65 63 3e 0a 20 20 20 20 20 20 20 20 |s_spec>. | 00002a20 20 20 20 20 73 69 7a 65 20 3c 73 69 7a 65 5f 73 | size <size_s| 00002a30 70 65 63 3e 0a 20 20 20 20 20 20 20 20 20 20 20 |pec>. | 00002a40 7d 0a 20 20 20 20 20 20 20 20 20 20 20 73 63 61 |}. sca| 00002a50 6c 65 20 3c 78 73 3e 2c 3c 79 73 3e 2c 3c 7a 73 |le <xs>,<ys>,<zs| 00002a60 3e 0a 20 20 20 20 20 20 20 20 20 20 20 6e 65 61 |>. nea| 00002a70 72 62 6f 6e 64 73 20 7b 0a 20 20 20 20 20 20 20 |rbonds {. | 00002a80 20 20 20 20 20 73 70 72 69 6e 67 5f 63 6f 6e 73 | spring_cons| 00002a90 74 20 3c 6c 61 6d 62 64 61 3e 0a 20 20 20 20 20 |t <lambda>. | 00002aa0 20 20 20 20 20 20 20 72 61 6e 67 65 20 3c 72 61 | range <ra| 00002ab0 6e 67 65 5f 76 61 6c 3e 0a 20 20 20 20 20 20 20 |nge_val>. | 00002ac0 20 20 20 20 7d 0a 20 20 20 20 20 20 20 20 20 20 | }. | 00002ad0 20 64 61 6d 70 69 6e 67 20 3c 64 61 6d 70 5f 76 | damping <damp_v| 00002ae0 61 6c 3e 0a 20 20 20 20 20 20 20 20 20 20 20 3c |al>. <| 00002af0 6f 74 68 65 72 20 63 6f 6d 6d 61 6e 64 73 3e 0a |other commands>.| 00002b00 20 20 20 20 20 20 20 20 20 20 7d 0a 20 20 20 20 | }. | 00002b10 20 54 68 65 20 62 6c 6f 63 6b 20 74 6f 20 63 72 | The block to cr| 00002b20 65 61 74 65 20 61 20 73 6f 6c 69 64 20 73 74 61 |eate a solid sta| 00002b30 72 74 73 20 77 69 74 68 20 61 20 22 63 72 65 61 |rts with a "crea| 00002b40 74 65 22 20 62 6c 6f 63 6b 2c 20 6c 69 6b 65 0a |te" block, like.| 00002b50 62 61 63 6b 67 72 6f 75 6e 64 73 2e 20 20 54 68 |backgrounds. Th| 00002b60 65 20 6f 6e 6c 79 20 64 69 66 66 65 72 65 6e 63 |e only differenc| 00002b70 65 20 68 65 72 65 20 69 73 20 74 68 65 20 63 68 |e here is the ch| 00002b80 6f 69 63 65 20 6f 66 20 6f 62 6a 65 63 74 73 20 |oice of objects | 00002b90 79 6f 75 20 63 61 6e 0a 63 72 65 61 74 65 3a 20 |you can.create: | 00002ba0 61 20 73 68 65 65 74 2c 20 61 20 63 75 62 6f 69 |a sheet, a cuboi| 00002bb0 64 2c 20 61 20 63 75 62 65 2c 20 61 20 74 75 62 |d, a cube, a tub| 00002bc0 65 20 6f 72 20 61 20 63 6f 6d 70 6f 75 6e 64 20 |e or a compound | 00002bd0 6f 62 6a 65 63 74 2e 20 20 54 68 65 73 65 20 77 |object. These w| 00002be0 69 6c 6c 0a 62 65 20 64 65 73 63 72 69 62 65 64 |ill.be described| 00002bf0 20 69 6e 64 69 76 69 64 75 61 6c 6c 79 20 6c 61 | individually la| 00002c00 74 65 72 2e 0a 20 20 20 20 20 54 68 65 20 73 63 |ter.. The sc| 00002c10 61 6c 65 20 63 6f 6d 6d 61 6e 64 20 69 73 20 6f |ale command is o| 00002c20 70 74 69 6f 6e 61 6c 3a 20 69 74 20 6c 65 74 73 |ptional: it lets| 00002c30 20 79 6f 75 20 73 63 61 6c 65 20 61 6e 20 6f 62 | you scale an ob| 00002c40 6a 65 63 74 20 69 6e 20 74 68 65 20 78 2c 20 79 |ject in the x, y| 00002c50 0a 61 6e 64 20 7a 20 64 69 72 65 63 74 69 6f 6e |.and z direction| 00002c60 73 2e 20 20 54 68 69 73 20 63 6f 6d 6d 61 6e 64 |s. This command| 00002c70 20 69 73 20 6d 61 69 6e 6c 79 20 70 72 65 73 65 | is mainly prese| 00002c80 6e 74 20 74 6f 20 61 6c 6c 6f 77 20 79 6f 75 20 |nt to allow you | 00002c90 74 6f 20 63 68 61 6e 67 65 20 74 68 65 0a 73 69 |to change the.si| 00002ca0 7a 65 20 6f 66 20 61 20 63 6f 6d 70 6f 75 6e 64 |ze of a compound| 00002cb0 20 6f 62 6a 65 63 74 2c 20 77 68 69 63 68 20 77 | object, which w| 00002cc0 6f 75 6c 64 20 6f 74 68 65 72 77 69 73 65 20 62 |ould otherwise b| 00002cd0 65 20 76 65 72 79 20 74 65 64 69 6f 75 73 2e 20 |e very tedious. | 00002ce0 20 49 20 77 6f 75 6c 64 0a 61 64 76 69 73 65 20 | I would.advise | 00002cf0 74 68 61 74 20 79 6f 75 20 6b 65 65 70 20 74 68 |that you keep th| 00002d00 65 20 78 2c 20 79 20 61 6e 64 20 7a 20 73 63 61 |e x, y and z sca| 00002d10 6c 69 6e 67 73 20 73 69 6d 69 6c 61 72 2c 20 61 |lings similar, a| 00002d20 73 20 6f 62 6a 65 63 74 73 20 77 68 69 63 68 20 |s objects which | 00002d30 68 61 76 65 0a 64 69 66 66 65 72 65 6e 74 20 70 |have.different p| 00002d40 6f 69 6e 74 20 73 70 61 63 69 6e 67 73 20 69 6e |oint spacings in| 00002d50 20 64 69 66 66 65 72 65 6e 74 20 64 69 72 65 63 | different direc| 00002d60 74 69 6f 6e 73 20 74 65 6e 64 20 74 6f 20 62 65 |tions tend to be| 00002d70 20 75 6e 73 74 61 62 6c 65 2e 20 20 54 68 65 0a | unstable. The.| 00002d80 73 63 61 6c 65 20 63 6f 6d 6d 61 6e 64 20 67 6f |scale command go| 00002d90 65 73 20 62 65 66 6f 72 65 20 6e 65 61 72 62 6f |es before nearbo| 00002da0 6e 64 73 20 62 65 63 61 75 73 65 20 6f 74 68 65 |nds because othe| 00002db0 72 77 69 73 65 20 77 6f 75 6c 64 20 67 65 74 20 |rwise would get | 00002dc0 73 74 72 65 74 63 68 65 64 3a 0a 79 6f 75 20 6d |stretched:.you m| 00002dd0 61 79 20 77 61 6e 74 20 74 6f 20 75 73 65 20 74 |ay want to use t| 00002de0 68 69 73 20 65 66 66 65 63 74 2c 20 62 75 74 20 |his effect, but | 00002df0 6b 65 65 70 20 74 68 65 20 73 63 61 6c 65 20 66 |keep the scale f| 00002e00 61 63 74 6f 72 73 20 63 6c 6f 73 65 20 74 6f 20 |actors close to | 00002e10 31 20 74 6f 0a 70 72 65 76 65 6e 74 20 65 78 70 |1 to.prevent exp| 00002e20 6c 6f 73 69 6f 6e 73 2e 0a 0a 20 20 20 20 20 54 |losions... T| 00002e30 68 65 20 22 6e 65 61 72 62 6f 6e 64 73 22 20 62 |he "nearbonds" b| 00002e40 6c 6f 63 6b 20 69 73 20 77 68 61 74 20 6d 61 6b |lock is what mak| 00002e50 65 73 20 74 68 65 20 73 6f 6c 69 64 20 61 20 73 |es the solid a s| 00002e60 6f 6c 69 64 2e 20 20 49 74 20 6e 65 65 64 73 20 |olid. It needs | 00002e70 74 6f 20 62 65 0a 70 75 74 20 61 66 74 65 72 20 |to be.put after | 00002e80 74 68 65 20 22 63 72 65 61 74 65 22 20 62 6c 6f |the "create" blo| 00002e90 63 6b 2c 20 62 65 63 61 75 73 65 20 69 74 20 63 |ck, because it c| 00002ea0 72 65 61 74 65 73 20 61 6c 6c 20 74 68 65 20 6c |reates all the l| 00002eb0 69 74 74 6c 65 20 73 70 72 69 6e 67 73 0a 77 68 |ittle springs.wh| 00002ec0 69 63 68 20 68 6f 6c 64 20 74 68 65 20 70 6f 69 |ich hold the poi| 00002ed0 6e 74 73 20 69 6e 20 74 68 65 20 6f 62 6a 65 63 |nts in the objec| 00002ee0 74 20 74 6f 67 65 74 68 65 72 2e 20 20 49 74 20 |t together. It | 00002ef0 69 73 20 63 61 6c 6c 65 64 20 22 6e 65 61 72 62 |is called "nearb| 00002f00 6f 6e 64 73 22 0a 62 65 63 61 75 73 65 20 69 74 |onds".because it| 00002f10 20 6f 6e 6c 79 20 62 6f 6e 64 73 20 74 6f 67 65 | only bonds toge| 00002f20 74 68 65 72 20 70 6f 69 6e 74 73 20 77 68 69 63 |ther points whic| 00002f30 68 20 61 72 65 20 66 61 69 72 6c 79 20 63 6c 6f |h are fairly clo| 00002f40 73 65 2e 20 20 54 68 65 20 6e 75 6d 62 65 72 0a |se. The number.| 00002f50 61 66 74 65 72 20 22 73 70 72 69 6e 67 5f 63 6f |after "spring_co| 00002f60 6e 73 74 22 20 73 65 74 73 20 74 68 65 20 73 74 |nst" sets the st| 00002f70 69 66 66 6e 65 73 73 20 6f 66 20 74 68 65 20 73 |iffness of the s| 00002f80 70 72 69 6e 67 73 2c 20 61 6e 64 20 22 72 61 6e |prings, and "ran| 00002f90 67 65 22 20 73 65 74 73 20 68 6f 77 0a 6e 65 61 |ge" sets how.nea| 00002fa0 72 20 74 77 6f 20 70 6f 69 6e 74 73 20 68 61 76 |r two points hav| 00002fb0 65 20 74 6f 20 62 65 20 66 6f 72 20 61 20 73 70 |e to be for a sp| 00002fc0 72 69 6e 67 20 74 6f 20 63 6f 6e 6e 65 63 74 20 |ring to connect | 00002fd0 74 68 65 6d 2e 20 20 46 6f 72 20 65 61 63 68 20 |them. For each | 00002fe0 6f 62 6a 65 63 74 2c 0a 74 68 65 20 70 72 6f 67 |object,.the prog| 00002ff0 72 61 6d 20 77 6f 72 6b 73 20 6f 75 74 20 61 6e |ram works out an| 00003000 20 61 76 65 72 61 67 65 20 22 6e 65 61 72 65 73 | average "neares| 00003010 74 2d 6e 65 69 67 68 62 6f 75 72 22 20 64 69 73 |t-neighbour" dis| 00003020 74 61 6e 63 65 20 28 63 61 6c 6c 20 74 68 69 73 |tance (call this| 00003030 20 44 29 2c 0a 61 6e 64 20 74 68 65 20 22 72 61 | D),.and the "ra| 00003040 6e 67 65 22 20 76 61 6c 75 65 20 69 73 20 69 6e |nge" value is in| 00003050 20 74 65 72 6d 73 20 6f 66 20 44 2e 20 20 50 6f | terms of D. Po| 00003060 69 6e 74 73 20 77 69 74 68 20 61 20 73 65 70 61 |ints with a sepa| 00003070 72 61 74 69 6f 6e 20 6f 66 20 62 65 74 77 65 65 |ration of betwee| 00003080 6e 0a 44 2f 32 20 61 6e 64 20 44 20 61 72 65 20 |n.D/2 and D are | 00003090 6c 69 6e 6b 65 64 20 77 69 74 68 20 61 20 73 70 |linked with a sp| 000030a0 72 69 6e 67 20 6f 66 20 73 74 72 65 6e 67 74 68 |ring of strength| 000030b0 20 3c 6c 61 6d 62 64 61 3e 2c 20 61 6e 64 20 70 | <lambda>, and p| 000030c0 6f 69 6e 74 73 20 77 69 74 68 20 61 0a 73 65 70 |oints with a.sep| 000030d0 61 72 61 74 69 6f 6e 20 62 65 74 77 65 65 6e 20 |aration between | 000030e0 44 20 61 6e 64 20 44 2a 3c 72 61 6e 67 65 5f 76 |D and D*<range_v| 000030f0 61 6c 3e 20 61 72 65 20 6c 69 6e 6b 65 64 20 77 |al> are linked w| 00003100 69 74 68 20 61 20 73 70 72 69 6e 67 20 6f 66 20 |ith a spring of | 00003110 73 74 72 65 6e 67 74 68 0a 77 68 69 63 68 20 64 |strength.which d| 00003120 65 63 72 65 61 73 65 73 20 73 6d 6f 6f 74 68 6c |ecreases smoothl| 00003130 79 20 64 6f 77 6e 20 74 6f 20 30 20 66 6f 72 20 |y down to 0 for | 00003140 44 2a 3c 72 61 6e 67 65 5f 76 61 6c 3e 2e 20 20 |D*<range_val>. | 00003150 20 50 6f 69 6e 74 73 20 77 69 74 68 20 61 0a 73 | Points with a.s| 00003160 65 70 61 72 61 74 69 6f 6e 20 6f 66 20 6c 65 73 |eparation of les| 00003170 73 20 74 68 61 6e 20 44 2f 32 20 61 72 65 20 6e |s than D/2 are n| 00003180 6f 74 20 63 6f 6e 6e 65 63 74 65 64 2e 0a 20 20 |ot connected.. | 00003190 20 20 20 54 68 65 20 22 64 61 6d 70 69 6e 67 22 | The "damping"| 000031a0 20 63 6f 6d 6d 61 6e 64 20 73 68 6f 75 6c 64 20 | command should | 000031b0 62 65 20 66 6f 6c 6c 6f 77 65 64 20 62 79 20 61 |be followed by a| 000031c0 20 73 69 6e 67 6c 65 20 69 6e 74 65 67 65 72 3a | single integer:| 000031d0 20 33 20 6f 72 20 34 0a 61 72 65 20 74 79 70 69 | 3 or 4.are typi| 000031e0 63 61 6c 20 76 61 6c 75 65 73 2e 20 20 53 6f 6c |cal values. Sol| 000031f0 69 64 20 6f 62 6a 65 63 74 73 20 6e 65 65 64 20 |id objects need | 00003200 68 61 76 65 20 74 68 65 20 6d 6f 74 69 6f 6e 20 |have the motion | 00003210 6f 66 20 74 68 65 69 72 20 70 6f 69 6e 74 73 0a |of their points.| 00003220 22 64 61 6d 70 65 64 22 2c 20 6f 74 68 65 72 77 |"damped", otherw| 00003230 69 73 65 20 74 68 65 20 73 70 72 69 6e 67 73 20 |ise the springs | 00003240 77 6f 75 6c 64 20 6d 61 6b 65 20 74 68 65 6d 20 |would make them | 00003250 76 69 62 72 61 74 65 20 6f 75 74 20 6f 66 20 63 |vibrate out of c| 00003260 6f 6e 74 72 6f 6c 2e 20 0a 55 6e 66 6f 72 74 75 |ontrol. .Unfortu| 00003270 6e 61 74 65 6c 79 2c 20 74 68 65 20 64 61 6d 70 |nately, the damp| 00003280 69 6e 67 20 61 6c 73 6f 20 68 61 73 20 74 68 65 |ing also has the| 00003290 20 65 66 66 65 63 74 20 6f 66 20 73 74 6f 70 70 | effect of stopp| 000032a0 69 6e 67 20 74 68 65 20 77 68 6f 6c 65 20 6f 62 |ing the whole ob| 000032b0 6a 65 63 74 0a 6d 6f 76 69 6e 67 20 6f 72 20 72 |ject.moving or r| 000032c0 6f 74 61 74 69 6e 67 20 76 65 72 79 20 71 75 69 |otating very qui| 000032d0 63 6b 6c 79 2c 20 73 6f 20 74 68 69 6e 67 73 20 |ckly, so things | 000032e0 73 6f 6d 65 74 69 6d 65 73 20 6c 6f 6f 6b 20 61 |sometimes look a| 000032f0 73 20 69 66 20 74 68 65 79 20 61 72 65 0a 75 6e |s if they are.un| 00003300 64 65 72 77 61 74 65 72 2e 20 20 47 65 6e 65 72 |derwater. Gener| 00003310 61 6c 6c 79 2c 20 79 6f 75 20 77 69 6c 6c 20 77 |ally, you will w| 00003320 61 6e 74 20 74 68 65 20 73 6d 61 6c 6c 65 73 74 |ant the smallest| 00003330 20 76 61 6c 75 65 20 6f 66 20 64 61 6d 70 69 6e | value of dampin| 00003340 67 20 77 68 69 63 68 20 69 73 0a 73 75 66 66 69 |g which is.suffi| 00003350 63 69 65 6e 74 20 74 6f 20 73 74 6f 70 20 74 68 |cient to stop th| 00003360 65 20 74 68 69 6e 67 20 65 78 70 6c 6f 64 69 6e |e thing explodin| 00003370 67 2e 0a 0a 20 20 20 20 20 4f 54 48 45 52 20 43 |g... OTHER C| 00003380 4f 4d 4d 41 4e 44 53 0a 20 20 20 20 20 54 68 65 |OMMANDS. The| 00003390 72 65 20 61 72 65 20 74 77 6f 20 63 6f 6d 6d 61 |re are two comma| 000033a0 6e 64 73 20 79 6f 75 20 63 61 6e 20 75 73 65 20 |nds you can use | 000033b0 74 6f 20 70 6c 61 63 65 20 74 68 65 20 6f 62 6a |to place the obj| 000033c0 65 63 74 20 77 68 65 72 65 20 79 6f 75 20 77 61 |ect where you wa| 000033d0 6e 74 0a 69 74 3a 0a 20 20 20 20 20 20 20 20 20 |nt.it:. | 000033e0 20 74 72 61 6e 73 6c 61 74 65 20 3c 78 3e 2c 3c | translate <x>,<| 000033f0 79 3e 2c 3c 7a 3e 0a 20 20 20 20 20 20 20 20 20 |y>,<z>. | 00003400 20 72 6f 74 61 74 65 20 3c 78 72 3e 2c 3c 79 72 | rotate <xr>,<yr| 00003410 3e 2c 3c 7a 72 3e 0a 20 20 20 20 20 54 68 65 20 |>,<zr>. The | 00003420 74 72 61 6e 73 6c 61 74 65 20 63 6f 6d 6d 61 6e |translate comman| 00003430 64 20 68 61 73 20 62 65 65 6e 20 64 65 73 63 72 |d has been descr| 00003440 69 62 65 64 20 61 62 6f 76 65 2e 20 20 54 68 65 |ibed above. The| 00003450 20 72 6f 74 61 74 65 20 63 6f 6d 6d 61 6e 64 0a | rotate command.| 00003460 72 6f 74 61 74 65 73 20 74 68 65 20 6f 62 6a 65 |rotates the obje| 00003470 63 74 20 41 42 4f 55 54 20 54 48 45 20 4f 52 49 |ct ABOUT THE ORI| 00003480 47 49 4e 2e 20 20 49 74 20 72 6f 74 61 74 65 73 |GIN. It rotates| 00003490 20 62 79 20 3c 78 72 3e 2c 20 3c 79 72 3e 20 61 | by <xr>, <yr> a| 000034a0 6e 64 20 3c 7a 72 3e 0a 64 65 67 72 65 65 73 20 |nd <zr>.degrees | 000034b0 61 62 6f 75 74 20 74 68 65 20 78 2c 20 79 2c 20 |about the x, y, | 000034c0 61 6e 64 20 7a 20 61 78 65 73 20 72 65 73 70 65 |and z axes respe| 000034d0 63 74 69 76 65 6c 79 2e 20 20 59 6f 75 20 63 61 |ctively. You ca| 000034e0 6e 20 68 61 76 65 20 61 6e 79 20 6e 75 6d 62 65 |n have any numbe| 000034f0 72 20 6f 66 0a 74 72 61 6e 73 6c 61 74 65 20 61 |r of.translate a| 00003500 6e 64 20 72 6f 74 61 74 65 20 63 6f 6d 6d 61 6e |nd rotate comman| 00003510 64 73 20 77 69 74 68 6f 75 74 20 66 65 61 72 20 |ds without fear | 00003520 6f 66 20 73 6c 6f 77 69 6e 67 20 64 6f 77 6e 20 |of slowing down | 00003530 74 68 65 20 70 72 6f 67 72 61 6d 2c 0a 62 65 63 |the program,.bec| 00003540 61 75 73 65 20 74 68 65 20 63 6f 6d 6d 61 6e 64 |ause the command| 00003550 73 20 6f 6e 6c 79 20 61 66 66 65 63 74 20 74 68 |s only affect th| 00003560 65 20 69 6e 69 74 69 61 6c 20 73 65 74 74 69 6e |e initial settin| 00003570 67 20 75 70 2e 20 20 46 6f 72 20 65 78 61 6d 70 |g up. For examp| 00003580 6c 65 2c 20 69 66 0a 79 6f 75 20 77 61 6e 74 20 |le, if.you want | 00003590 74 6f 20 72 6f 74 61 74 65 20 62 79 20 31 35 20 |to rotate by 15 | 000035a0 64 65 67 72 65 65 73 20 61 62 6f 75 74 20 74 68 |degrees about th| 000035b0 65 20 70 6f 69 6e 74 20 28 31 69 6e 2c 31 69 6e |e point (1in,1in| 000035c0 2c 32 69 6e 29 2c 20 61 72 6f 75 6e 64 20 74 68 |,2in), around th| 000035d0 65 20 78 0a 61 78 69 73 2c 20 79 6f 75 20 63 6f |e x.axis, you co| 000035e0 75 6c 64 20 75 73 65 3a 0a 20 20 20 20 20 20 20 |uld use:. | 000035f0 20 20 20 74 72 61 6e 73 6c 61 74 65 20 2d 31 69 | translate -1i| 00003600 6e 2c 2d 31 69 6e 2c 2d 32 69 6e 0a 20 20 20 20 |n,-1in,-2in. | 00003610 20 20 20 20 20 20 72 6f 74 61 74 65 20 31 35 2c | rotate 15,| 00003620 30 2c 30 20 20 20 20 20 20 20 0a 20 20 20 20 20 |0,0 . | 00003630 20 20 20 20 20 74 72 61 6e 73 6c 61 74 65 20 31 | translate 1| 00003640 69 6e 2c 31 69 6e 2c 32 69 6e 0a 20 20 20 20 20 |in,1in,2in. | 00003650 61 6e 64 20 74 68 65 6e 20 74 72 61 6e 73 6c 61 |and then transla| 00003660 74 65 20 74 68 65 20 73 6f 6c 69 64 20 74 6f 20 |te the solid to | 00003670 77 68 65 72 65 20 79 6f 75 20 77 61 6e 74 20 69 |where you want i| 00003680 74 2e 0a 20 20 20 20 20 54 68 65 72 65 20 61 72 |t.. There ar| 00003690 65 20 61 6e 6f 74 68 65 72 20 74 77 6f 20 63 6f |e another two co| 000036a0 6d 6d 61 6e 64 73 20 77 68 69 63 68 20 63 61 6e |mmands which can| 000036b0 20 67 6f 20 69 6e 20 61 20 73 6f 6c 69 64 20 62 | go in a solid b| 000036c0 6c 6f 63 6b 2c 20 62 75 74 20 74 68 65 73 65 0a |lock, but these.| 000036d0 73 68 6f 75 6c 64 20 6f 6e 6c 79 20 62 65 20 67 |should only be g| 000036e0 69 76 65 6e 20 6f 6e 63 65 20 69 6e 20 65 61 63 |iven once in eac| 000036f0 68 20 73 6f 6c 69 64 2e 20 20 54 68 65 79 20 61 |h solid. They a| 00003700 72 65 3a 0a 20 20 20 20 20 20 20 20 20 20 76 65 |re:. ve| 00003710 6c 6f 63 69 74 79 20 3c 78 76 3e 2c 3c 79 76 3e |locity <xv>,<yv>| 00003720 2c 3c 7a 76 3e 0a 20 20 20 20 20 20 20 20 20 20 |,<zv>. | 00003730 70 75 6c 6c 20 3c 66 69 72 73 74 3e 2c 3c 6c 61 |pull <first>,<la| 00003740 73 74 3e 2c 3c 73 74 65 70 3e 2c 3c 78 76 3e 2c |st>,<step>,<xv>,| 00003750 3c 79 76 3e 2c 3c 7a 76 3e 0a 20 20 20 20 20 54 |<yv>,<zv>. T| 00003760 68 65 20 22 76 65 6c 6f 63 69 74 79 22 20 63 6f |he "velocity" co| 00003770 6d 6d 61 6e 64 20 6a 75 73 74 20 67 69 76 65 73 |mmand just gives| 00003780 20 74 68 65 20 6f 62 6a 65 63 74 20 61 6e 20 69 | the object an i| 00003790 6e 69 74 69 61 6c 20 76 65 6c 6f 63 69 74 79 2e |nitial velocity.| 000037a0 20 20 55 73 65 0a 74 72 69 61 6c 20 61 6e 64 20 | Use.trial and | 000037b0 65 72 72 6f 72 20 74 6f 20 66 69 6e 64 20 74 68 |error to find th| 000037c0 65 20 62 65 73 74 20 76 61 6c 75 65 2c 20 62 75 |e best value, bu| 000037d0 74 20 74 68 65 20 73 69 7a 65 20 6f 66 20 6e 75 |t the size of nu| 000037e0 6d 62 65 72 73 20 77 69 6c 6c 20 6e 65 65 64 20 |mbers will need | 000037f0 74 6f 0a 62 65 20 61 72 6f 75 6e 64 20 61 20 66 |to.be around a f| 00003800 65 77 20 74 68 6f 75 73 61 6e 64 73 20 28 61 20 |ew thousands (a | 00003810 73 65 74 74 69 6e 67 20 6f 66 20 31 38 34 33 20 |setting of 1843 | 00003820 69 73 20 31 20 69 6e 63 68 20 70 65 72 20 73 65 |is 1 inch per se| 00003830 63 6f 6e 64 29 2e 20 20 4e 6f 74 65 0a 74 68 61 |cond). Note.tha| 00003840 74 20 68 69 67 68 20 76 65 6c 6f 63 69 74 69 65 |t high velocitie| 00003850 73 20 77 69 6c 6c 20 71 75 69 63 6b 6c 79 20 62 |s will quickly b| 00003860 65 20 64 61 6d 70 65 64 20 64 6f 77 6e 2e 0a 20 |e damped down.. | 00003870 20 20 20 20 54 68 65 20 22 70 75 6c 6c 22 20 63 | The "pull" c| 00003880 6f 6d 6d 61 6e 64 20 69 73 20 72 61 74 68 65 72 |ommand is rather| 00003890 20 6c 6f 77 2d 6c 65 76 65 6c 3a 20 69 74 20 6e | low-level: it n| 000038a0 65 65 64 73 20 74 6f 20 72 65 66 65 72 20 74 6f |eeds to refer to| 000038b0 20 74 68 65 0a 6e 75 6d 62 65 72 69 6e 67 20 6f | the.numbering o| 000038c0 66 20 74 68 65 20 70 6f 69 6e 74 73 20 69 6e 20 |f the points in | 000038d0 61 6e 20 6f 62 6a 65 63 74 2e 20 20 54 68 65 20 |an object. The | 000038e0 66 69 72 73 74 20 74 68 72 65 65 20 70 61 72 61 |first three para| 000038f0 6d 65 74 65 72 73 20 61 72 65 20 6c 69 6b 65 20 |meters are like | 00003900 61 0a 46 4f 52 2d 4e 45 58 54 20 6c 6f 6f 70 20 |a.FOR-NEXT loop | 00003910 77 68 69 63 68 20 64 65 66 69 6e 65 73 20 61 20 |which defines a | 00003920 73 65 74 20 6f 66 20 70 6f 69 6e 74 73 2c 20 61 |set of points, a| 00003930 6e 64 20 74 68 65 73 65 20 70 6f 69 6e 74 73 20 |nd these points | 00003940 61 72 65 20 67 69 76 65 6e 20 61 0a 66 69 78 65 |are given a.fixe| 00003950 64 20 76 65 6c 6f 63 69 74 79 20 67 69 76 65 6e |d velocity given| 00003960 20 62 79 20 74 68 65 20 6c 61 73 74 20 74 68 72 | by the last thr| 00003970 65 65 20 70 61 72 61 6d 65 74 65 72 73 2e 20 20 |ee parameters. | 00003980 4c 6f 6f 6b 20 61 74 20 74 68 65 20 73 69 6d 75 |Look at the simu| 00003990 6c 61 74 69 6f 6e 0a 73 63 72 69 70 74 20 22 43 |lation.script "C| 000039a0 6c 6f 74 68 50 75 6c 6c 22 20 66 6f 72 20 61 6e |lothPull" for an| 000039b0 20 65 78 61 6d 70 6c 65 20 6f 66 20 74 68 65 20 | example of the | 000039c0 75 73 65 20 6f 66 20 74 68 69 73 20 63 6f 6d 6d |use of this comm| 000039d0 61 6e 64 2e 0a 0a 54 48 45 20 43 55 42 4f 49 44 |and...THE CUBOID| 000039e0 20 4f 42 4a 45 43 54 0a 20 20 20 20 20 54 6f 20 | OBJECT. To | 000039f0 63 72 65 61 74 65 20 61 20 63 75 62 6f 69 64 2c |create a cuboid,| 00003a00 20 75 73 65 20 74 68 65 20 66 6f 6c 6c 6f 77 69 | use the followi| 00003a10 6e 67 20 70 61 72 61 6d 65 74 65 72 73 20 69 6e |ng parameters in| 00003a20 20 74 68 65 20 22 63 72 65 61 74 65 22 20 62 6c | the "create" bl| 00003a30 6f 63 6b 3a 0a 20 20 20 20 20 20 20 20 20 20 74 |ock:. t| 00003a40 79 70 65 20 63 75 62 6f 69 64 0a 20 20 20 20 20 |ype cuboid. | 00003a50 20 20 20 20 20 73 69 7a 65 20 3c 78 5f 73 69 7a | size <x_siz| 00003a60 65 3e 2c 3c 79 5f 73 69 7a 65 3e 2c 3c 7a 5f 73 |e>,<y_size>,<z_s| 00003a70 69 7a 65 3e 0a 20 20 20 20 20 20 20 20 20 20 70 |ize>. p| 00003a80 6f 69 6e 74 73 20 3c 78 5f 70 74 73 3e 2c 3c 79 |oints <x_pts>,<y| 00003a90 5f 70 74 73 3e 2c 3c 7a 5f 70 74 73 3e 0a 20 20 |_pts>,<z_pts>. | 00003aa0 20 20 20 54 68 65 20 6d 65 61 6e 69 6e 67 20 6f | The meaning o| 00003ab0 66 20 74 68 65 20 70 61 72 61 6d 65 74 65 72 73 |f the parameters| 00003ac0 20 69 73 20 68 6f 70 65 66 75 6c 6c 79 20 6f 62 | is hopefully ob| 00003ad0 76 69 6f 75 73 2e 20 20 49 74 20 69 73 20 61 20 |vious. It is a | 00003ae0 67 6f 6f 64 20 69 64 65 61 0a 74 6f 20 6b 65 65 |good idea.to kee| 00003af0 70 20 74 68 65 20 73 65 70 61 72 61 74 69 6f 6e |p the separation| 00003b00 20 6f 66 20 74 68 65 20 70 6f 69 6e 74 73 20 74 | of the points t| 00003b10 68 65 20 73 61 6d 65 20 69 6e 20 61 6c 6c 20 74 |he same in all t| 00003b20 68 72 65 65 20 64 69 72 65 63 74 69 6f 6e 73 2c |hree directions,| 00003b30 20 69 65 2e 0a 3c 73 69 7a 65 3e 2f 3c 70 74 73 | ie..<size>/<pts| 00003b40 3e 20 73 68 6f 75 6c 64 20 62 65 20 73 69 6d 69 |> should be simi| 00003b50 6c 61 72 20 66 6f 72 20 78 2c 20 79 20 61 6e 64 |lar for x, y and| 00003b60 20 7a 2e 0a 0a 54 48 45 20 43 55 42 45 20 4f 42 | z...THE CUBE OB| 00003b70 4a 45 43 54 0a 20 20 20 20 20 54 68 65 20 73 65 |JECT. The se| 00003b80 74 75 70 20 66 6f 72 20 61 20 63 75 62 65 20 69 |tup for a cube i| 00003b90 73 3a 20 20 20 20 20 20 0a 20 20 20 20 20 20 20 |s: . | 00003ba0 20 20 20 74 79 70 65 20 63 75 62 65 0a 20 20 20 | type cube. | 00003bb0 20 20 20 20 20 20 20 73 69 7a 65 20 3c 73 69 7a | size <siz| 00003bc0 65 3e 0a 20 20 20 20 20 20 20 20 20 20 70 6f 69 |e>. poi| 00003bd0 6e 74 73 20 3c 70 74 73 3e 0a 20 20 20 20 20 54 |nts <pts>. T| 00003be0 68 69 73 20 69 73 20 62 61 73 69 63 61 6c 6c 79 |his is basically| 00003bf0 20 74 68 65 20 73 61 6d 65 20 61 73 20 61 20 63 | the same as a c| 00003c00 75 62 6f 69 64 2c 20 65 78 63 65 70 74 20 74 68 |uboid, except th| 00003c10 65 20 70 61 72 61 6d 65 74 65 72 73 20 66 6f 72 |e parameters for| 00003c20 20 74 68 65 0a 74 68 72 65 65 20 64 69 72 65 63 | the.three direc| 00003c30 74 69 6f 6e 73 20 61 72 65 20 61 6c 6c 20 73 65 |tions are all se| 00003c40 74 20 74 6f 20 62 65 20 65 71 75 61 6c 2e 0a 0a |t to be equal...| 00003c50 54 48 45 20 54 55 42 45 20 4f 42 4a 45 43 54 20 |THE TUBE OBJECT | 00003c60 20 20 20 20 20 20 0a 20 20 20 20 20 20 20 20 20 | . | 00003c70 20 74 79 70 65 20 74 75 62 65 0a 20 20 20 20 20 | type tube. | 00003c80 20 20 20 20 20 73 69 7a 65 20 3c 6c 65 6e 67 74 | size <lengt| 00003c90 68 3e 2c 3c 72 61 64 69 75 73 3e 2c 3c 74 68 69 |h>,<radius>,<thi| 00003ca0 63 6b 6e 65 73 73 3e 0a 20 20 20 20 20 20 20 20 |ckness>. | 00003cb0 20 20 70 6f 69 6e 74 73 20 3c 6c 65 6e 67 74 68 | points <length| 00003cc0 5f 70 74 73 3e 2c 3c 63 69 72 63 5f 70 6f 69 6e |_pts>,<circ_poin| 00003cd0 74 73 3e 2c 3c 74 68 69 63 6b 5f 70 6f 69 6e 74 |ts>,<thick_point| 00003ce0 73 3e 0a 20 20 20 20 20 54 68 65 20 3c 6c 65 6e |s>. The <len| 00003cf0 67 74 68 3e 20 70 61 72 61 6d 65 74 65 72 20 73 |gth> parameter s| 00003d00 65 74 73 20 74 68 65 20 6c 65 6e 67 74 68 20 6f |ets the length o| 00003d10 66 20 74 68 65 20 74 75 62 65 2e 20 20 3c 52 61 |f the tube. <Ra| 00003d20 64 69 75 73 3e 20 73 65 74 73 20 74 68 65 0a 64 |dius> sets the.d| 00003d30 69 73 74 61 6e 63 65 20 66 72 6f 6d 20 74 68 65 |istance from the| 00003d40 20 61 78 69 73 20 6f 66 20 74 68 65 20 74 75 62 | axis of the tub| 00003d50 65 20 74 6f 20 74 68 65 20 63 65 6e 74 72 65 20 |e to the centre | 00003d60 6f 66 20 69 74 73 20 77 61 6c 6c 73 2c 20 61 6e |of its walls, an| 00003d70 64 0a 3c 74 68 69 63 6b 6e 65 73 73 3e 20 73 65 |d.<thickness> se| 00003d80 74 73 20 74 68 65 20 77 61 6c 6c 20 74 68 69 63 |ts the wall thic| 00003d90 6b 6e 65 73 73 2e 0a 20 20 20 20 20 54 68 65 20 |kness.. The | 00003da0 74 68 72 65 65 20 70 6f 69 6e 74 73 20 70 61 72 |three points par| 00003db0 61 6d 65 74 65 72 73 20 73 65 74 20 74 68 65 20 |ameters set the | 00003dc0 6e 75 6d 62 65 72 20 6f 66 20 70 6f 69 6e 74 73 |number of points| 00003dd0 20 61 6c 6f 6e 67 20 74 68 65 20 6c 65 6e 67 74 | along the lengt| 00003de0 68 2c 0a 61 72 6f 75 6e 64 20 74 68 65 20 63 69 |h,.around the ci| 00003df0 72 63 75 6d 66 65 72 65 6e 63 65 20 61 6e 64 20 |rcumference and | 00003e00 61 63 72 6f 73 73 20 74 68 65 20 77 61 6c 6c 20 |across the wall | 00003e10 72 65 73 70 65 63 74 69 76 65 6c 79 2e 0a 20 20 |respectively.. | 00003e20 20 20 20 41 73 20 49 20 6d 65 6e 74 69 6f 6e 65 | As I mentione| 00003e30 64 20 65 61 72 6c 69 65 72 2c 20 69 74 20 69 73 |d earlier, it is| 00003e40 20 61 20 67 6f 6f 64 20 69 64 65 61 20 74 6f 20 | a good idea to | 00003e50 6b 65 65 70 20 74 68 65 0a 22 6e 65 61 72 65 73 |keep the."neares| 00003e60 74 2d 6e 65 69 67 68 62 6f 75 72 22 20 64 69 73 |t-neighbour" dis| 00003e70 74 61 6e 63 65 20 66 61 69 72 6c 79 20 63 6f 6e |tance fairly con| 00003e80 73 74 61 6e 74 2c 20 73 6f 20 61 73 20 61 20 72 |stant, so as a r| 00003e90 6f 75 67 68 20 67 75 69 64 65 2c 20 74 72 79 20 |ough guide, try | 00003ea0 74 6f 0a 6b 65 65 70 3a 0a 20 20 20 20 20 20 20 |to.keep:. | 00003eb0 20 20 20 3c 6c 65 6e 67 74 68 5f 70 74 73 3e 20 | <length_pts> | 00003ec0 20 20 3c 63 69 72 63 5f 70 6f 69 6e 74 73 3e 20 | <circ_points> | 00003ed0 20 20 3c 74 68 69 63 6b 5f 70 6f 69 6e 74 73 3e | <thick_points>| 00003ee0 0a 20 20 20 20 20 20 20 20 20 20 2d 2d 2d 2d 2d |. -----| 00003ef0 2d 2d 2d 2d 2d 2d 2d 20 3d 20 2d 2d 2d 2d 2d 2d |------- = ------| * 00003f10 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 20 20 20 |--------. | 00003f20 20 20 20 20 20 3c 6c 65 6e 67 74 68 3e 20 20 20 | <length> | 00003f30 20 20 32 2a 50 49 2a 3c 72 61 64 69 75 73 3e 20 | 2*PI*<radius> | 00003f40 20 20 20 3c 74 68 69 63 6b 6e 65 73 73 3e 0a 20 | <thickness>. | 00003f50 20 20 20 20 61 6e 64 0a 20 20 20 20 20 20 20 20 | and. | 00003f60 20 20 3c 72 61 64 69 75 73 3e 20 3e 20 32 2a 3c | <radius> > 2*<| 00003f70 74 68 69 63 6b 6e 65 73 73 3e 0a 20 20 20 20 20 |thickness>. | 00003f80 54 68 65 73 65 20 61 72 65 20 6f 6e 6c 79 20 61 |These are only a| 00003f90 70 70 72 6f 78 69 6d 61 74 65 20 72 75 6c 65 73 |pproximate rules| 00003fa0 2c 20 73 6f 20 66 65 65 6c 20 66 72 65 65 20 74 |, so feel free t| 00003fb0 6f 20 74 72 79 20 74 68 69 6e 67 73 20 6f 75 74 |o try things out| 00003fc0 20 61 6e 64 0a 73 65 65 20 77 68 61 74 20 68 61 | and.see what ha| 00003fd0 70 70 65 6e 73 2e 0a 0a 0a 43 4f 4d 50 4f 55 4e |ppens....COMPOUN| 00003fe0 44 20 4f 42 4a 45 43 54 53 0a 20 20 20 20 20 43 |D OBJECTS. C| 00003ff0 6f 6d 70 6f 75 6e 64 20 6f 62 6a 65 63 74 73 20 |ompound objects | 00004000 6c 65 74 20 79 6f 75 20 73 74 69 63 6b 20 74 6f |let you stick to| 00004010 67 65 74 68 65 72 20 61 6e 79 20 6e 75 6d 62 65 |gether any numbe| 00004020 72 20 6f 66 20 6f 74 68 65 72 20 73 6f 6c 69 64 |r of other solid| 00004030 73 20 74 6f 0a 63 72 65 61 74 65 20 61 20 6d 6f |s to.create a mo| 00004040 72 65 20 63 6f 6d 70 6c 65 78 20 6f 62 6a 65 63 |re complex objec| 00004050 74 2e 20 20 48 65 72 65 20 69 73 20 61 6e 20 65 |t. Here is an e| 00004060 78 61 6d 70 6c 65 20 6f 66 20 68 6f 77 20 61 20 |xample of how a | 00004070 63 6f 6d 70 6f 75 6e 64 20 6f 62 6a 65 63 74 0a |compound object.| 00004080 6d 69 67 68 74 20 6c 6f 6f 6b 3a 0a 20 20 20 20 |might look:. | 00004090 20 20 20 20 20 20 63 72 65 61 74 65 20 7b 0a 20 | create {. | 000040a0 20 20 20 20 20 20 20 20 20 20 74 79 70 65 20 63 | type c| 000040b0 6f 6d 70 6f 75 6e 64 0a 20 20 20 20 20 20 20 20 |ompound. | 000040c0 20 20 20 70 61 72 74 20 7b 0a 20 20 20 20 20 20 | part {. | 000040d0 20 20 20 20 20 20 74 79 70 65 20 63 75 62 6f 69 | type cuboi| 000040e0 64 0a 20 20 20 20 20 20 20 20 20 20 20 20 70 6f |d. po| 000040f0 69 6e 74 73 20 37 2c 33 2c 33 0a 20 20 20 20 20 |ints 7,3,3. | 00004100 20 20 20 20 20 20 20 73 69 7a 65 20 33 69 6e 2c | size 3in,| 00004110 31 69 6e 2c 31 69 6e 0a 20 20 20 20 20 20 20 20 |1in,1in. | 00004120 20 20 20 20 6f 66 66 73 65 74 20 31 69 6e 2c 30 | offset 1in,0| 00004130 2c 30 0a 20 20 20 20 20 20 20 20 20 20 20 7d 0a |,0. }.| 00004140 20 20 20 20 20 20 20 20 20 20 20 70 61 72 74 20 | part | 00004150 7b 20 74 79 70 65 20 63 75 62 6f 69 64 3a 70 6f |{ type cuboid:po| 00004160 69 6e 74 73 20 33 2c 33 2c 31 31 3a 73 69 7a 65 |ints 3,3,11:size| 00004170 20 31 69 6e 2c 31 69 6e 2c 35 69 6e 20 7d 0a 20 | 1in,1in,5in }. | 00004180 20 20 20 20 20 20 20 20 20 20 70 61 72 74 20 7b | part {| 00004190 20 74 79 70 65 20 63 75 62 6f 69 64 3a 70 6f 69 | type cuboid:poi| 000041a0 6e 74 73 20 33 2c 37 2c 33 3a 73 69 7a 65 20 31 |nts 3,7,3:size 1| 000041b0 69 6e 2c 33 69 6e 2c 31 69 6e 3a 6f 66 66 73 65 |in,3in,1in:offse| 000041c0 74 20 30 2c 31 69 6e 2c 30 20 7d 0a 20 20 20 20 |t 0,1in,0 }. | 000041d0 20 20 20 20 20 20 7d 0a 20 20 20 20 20 54 68 65 | }. The| 000041e0 20 66 69 72 73 74 20 6c 69 6e 65 20 69 6e 20 74 | first line in t| 000041f0 68 65 20 22 63 72 65 61 74 65 22 20 62 6c 6f 63 |he "create" bloc| 00004200 6b 20 69 73 20 22 74 79 70 65 20 63 6f 6d 70 6f |k is "type compo| 00004210 75 6e 64 22 2c 20 74 68 65 6e 20 74 68 65 72 65 |und", then there| 00004220 20 69 73 0a 61 20 6c 69 73 74 20 6f 66 20 22 70 | is.a list of "p| 00004230 61 72 74 22 20 62 6c 6f 63 6b 73 2e 20 20 45 61 |art" blocks. Ea| 00004240 63 68 20 6f 66 20 74 68 65 73 65 20 69 73 20 6d |ch of these is m| 00004250 75 63 68 20 6c 69 6b 65 20 61 20 22 63 72 65 61 |uch like a "crea| 00004260 74 65 22 20 62 6c 6f 63 6b 20 28 69 74 0a 68 61 |te" block (it.ha| 00004270 73 20 74 79 70 65 2c 20 73 69 7a 65 20 61 6e 64 |s type, size and| 00004280 20 70 6f 69 6e 74 73 20 63 6f 6d 6d 61 6e 64 73 | points commands| 00004290 29 2c 20 62 75 74 20 77 69 74 68 20 74 68 65 20 |), but with the | 000042a0 66 6f 6c 6c 6f 77 69 6e 67 20 64 69 66 66 65 72 |following differ| 000042b0 65 6e 63 65 73 3a 20 31 20 20 20 20 0a 59 6f 75 |ences: 1 .You| 000042c0 20 63 61 6e 20 61 64 64 20 61 6e 20 22 6f 66 66 | can add an "off| 000042d0 73 65 74 22 20 63 6f 6d 6d 61 6e 64 20 61 74 20 |set" command at | 000042e0 74 68 65 20 65 6e 64 20 32 20 20 20 20 20 59 6f |the end 2 Yo| 000042f0 75 20 63 61 6e 6e 6f 74 20 68 61 76 65 20 61 20 |u cannot have a | 00004300 63 6f 6d 70 6f 75 6e 64 0a 74 79 70 65 20 6f 62 |compound.type ob| 00004310 6a 65 63 74 20 61 73 20 61 20 70 61 72 74 21 0a |ject as a part!.| 00004320 20 20 20 20 20 54 68 65 20 22 6f 66 66 73 65 74 | The "offset| 00004330 22 20 63 6f 6d 6d 61 6e 64 20 69 73 20 65 78 61 |" command is exa| 00004340 63 74 6c 79 20 65 71 75 69 76 61 6c 65 6e 74 20 |ctly equivalent | 00004350 74 6f 20 61 20 22 74 72 61 6e 73 6c 61 74 65 22 |to a "translate"| 00004360 20 63 6f 6d 6d 61 6e 64 2c 0a 62 75 74 20 6f 6e | command,.but on| 00004370 6c 79 20 61 70 70 6c 69 65 73 20 74 6f 20 74 68 |ly applies to th| 00004380 65 20 70 61 72 74 69 63 75 6c 61 72 20 70 61 72 |e particular par| 00004390 74 20 77 68 6f 73 65 20 62 6c 6f 63 6b 20 69 74 |t whose block it| 000043a0 20 69 73 20 69 6e 2e 0a 20 20 20 20 20 49 6e 20 | is in.. In | 000043b0 74 68 65 20 65 78 61 6d 70 6c 65 20 61 62 6f 76 |the example abov| 000043c0 65 2c 20 74 68 65 20 66 69 72 73 74 20 22 70 61 |e, the first "pa| 000043d0 72 74 22 20 62 6c 6f 63 6b 20 69 73 20 77 72 69 |rt" block is wri| 000043e0 74 74 65 6e 20 6f 75 74 20 77 69 74 68 20 6f 6e |tten out with on| 000043f0 65 0a 63 6f 6d 6d 61 6e 64 20 70 65 72 20 6c 69 |e.command per li| 00004400 6e 65 2c 20 62 75 74 20 74 68 65 20 72 65 73 74 |ne, but the rest| 00004410 20 61 72 65 20 63 6f 6e 74 72 61 63 74 65 64 20 | are contracted | 00004420 6f 6e 74 6f 20 6f 6e 65 20 6c 69 6e 65 20 65 61 |onto one line ea| 00004430 63 68 20 62 79 0a 72 65 70 6c 61 63 69 6e 67 20 |ch by.replacing | 00004440 6e 65 77 6c 69 6e 65 73 20 77 69 74 68 20 63 6f |newlines with co| 00004450 6c 6f 6e 73 2e 20 20 52 65 6d 65 6d 62 65 72 20 |lons. Remember | 00004460 74 68 61 74 20 74 68 65 20 63 75 72 6c 79 20 62 |that the curly b| 00004470 72 61 63 6b 65 74 73 20 6d 75 73 74 20 62 65 0a |rackets must be.| 00004480 73 65 70 61 72 61 74 65 64 20 66 72 6f 6d 20 74 |separated from t| 00004490 68 65 20 63 6f 6d 6d 61 6e 64 73 2c 20 65 6c 73 |he commands, els| 000044a0 65 20 79 6f 75 20 77 69 6c 6c 20 67 65 74 20 61 |e you will get a| 000044b0 6e 20 65 72 72 6f 72 2e 20 20 54 68 65 72 65 20 |n error. There | 000044c0 69 73 20 6e 6f 20 6c 69 6d 69 74 0a 6f 6e 20 74 |is no limit.on t| 000044d0 68 65 20 6e 75 6d 62 65 72 20 6f 66 20 70 61 72 |he number of par| 000044e0 74 73 20 61 20 63 6f 6d 70 6f 75 6e 64 20 6f 62 |ts a compound ob| 000044f0 6a 65 63 74 20 63 61 6e 20 68 61 76 65 2e 20 20 |ject can have. | 00004500 43 6f 6d 70 6f 75 6e 64 20 73 6f 6c 69 64 73 20 |Compound solids | 00004510 77 6f 72 6b 20 62 79 0a 6c 65 74 74 69 6e 67 20 |work by.letting | 00004520 79 6f 75 20 63 72 65 61 74 65 20 73 65 76 65 72 |you create sever| 00004530 61 6c 20 6f 62 6a 65 63 74 73 20 62 65 66 6f 72 |al objects befor| 00004540 65 20 79 6f 75 20 75 73 65 20 74 68 65 20 22 6e |e you use the "n| 00004550 65 61 72 62 6f 6e 64 73 22 20 63 6f 6d 6d 61 6e |earbonds" comman| 00004560 64 2e 20 0a 57 68 65 6e 20 79 6f 75 20 64 6f 20 |d. .When you do | 00004570 75 73 65 20 74 68 69 73 20 63 6f 6d 6d 61 6e 64 |use this command| 00004580 2c 20 69 74 20 63 6f 6e 6e 65 63 74 73 20 74 68 |, it connects th| 00004590 65 20 70 61 72 74 73 20 74 6f 67 65 74 68 65 72 |e parts together| 000045a0 2e 20 20 54 68 69 73 20 6d 65 74 68 6f 64 0a 6d |. This method.m| 000045b0 65 61 6e 73 20 74 68 61 74 20 70 61 72 74 73 20 |eans that parts | 000045c0 77 69 6c 6c 20 6e 6f 74 20 67 65 74 20 63 6f 6e |will not get con| 000045d0 6e 65 63 74 65 64 20 69 66 20 74 68 65 79 20 61 |nected if they a| 000045e0 72 65 20 73 65 70 61 72 61 74 65 64 20 62 79 20 |re separated by | 000045f0 6d 6f 72 65 20 74 68 61 6e 0a 74 68 65 20 72 61 |more than.the ra| 00004600 6e 67 65 20 6f 66 20 74 68 65 20 22 6e 65 61 72 |nge of the "near| 00004610 62 6f 6e 64 73 22 20 63 6f 6d 6d 61 6e 64 2e 20 |bonds" command. | 00004620 20 59 6f 75 20 73 68 6f 75 6c 64 20 61 6c 73 6f | You should also| 00004630 20 6e 6f 74 20 6c 65 74 20 70 61 72 74 73 20 70 | not let parts p| 00004640 61 73 73 0a 74 68 72 6f 75 67 68 20 65 61 63 68 |ass.through each| 00004650 20 6f 74 68 65 72 2c 20 61 73 20 74 68 65 20 72 | other, as the r| 00004660 65 73 75 6c 74 69 6e 67 20 63 6f 6d 70 6f 75 6e |esulting compoun| 00004670 64 20 6f 62 6a 65 63 74 20 69 73 20 75 6e 73 74 |d object is unst| 00004680 61 62 6c 65 2e 20 20 53 69 6e 63 65 20 74 68 65 |able. Since the| 00004690 0a 6e 65 61 72 62 6f 6e 64 73 20 72 6f 75 74 69 |.nearbonds routi| 000046a0 6e 65 20 69 73 20 77 6f 72 6b 69 6e 67 20 6f 6e |ne is working on| 000046b0 20 61 6c 6c 20 74 68 65 20 70 61 72 74 73 20 69 | all the parts i| 000046c0 6e 20 6f 6e 65 20 67 6f 2c 20 79 6f 75 20 73 68 |n one go, you sh| 000046d0 6f 75 6c 64 20 61 6c 73 6f 0a 6b 65 65 70 20 74 |ould also.keep t| 000046e0 68 65 20 6e 65 61 72 65 73 74 2d 6e 65 69 67 68 |he nearest-neigh| 000046f0 62 6f 75 72 20 64 69 73 74 61 6e 63 65 73 20 66 |bour distances f| 00004700 6f 72 20 61 6c 6c 20 74 68 65 20 70 61 72 74 73 |or all the parts| 00004710 20 73 69 6d 69 6c 61 72 2e 0a 0a 47 45 54 54 49 | similar...GETTI| 00004720 4e 47 20 53 43 52 45 45 4e 53 48 4f 54 53 0a 20 |NG SCREENSHOTS. | 00004730 20 20 20 20 54 68 65 72 65 20 69 73 20 6e 6f 20 | There is no | 00004740 62 75 69 6c 74 2d 69 6e 20 66 61 63 69 6c 69 74 |built-in facilit| 00004750 79 20 66 6f 72 20 6f 62 74 61 69 6e 69 6e 67 20 |y for obtaining | 00004760 73 63 72 65 65 6e 73 68 6f 74 73 2c 20 62 75 74 |screenshots, but| 00004770 20 69 74 20 69 73 0a 73 69 6d 70 6c 65 20 74 6f | it is.simple to| 00004780 20 64 6f 20 74 68 69 73 20 62 79 20 61 64 64 69 | do this by addi| 00004790 6e 67 20 61 20 6c 69 6e 65 20 74 6f 20 50 52 4f |ng a line to PRO| 000047a0 43 66 72 61 6d 65 5f 61 63 74 69 6f 6e 73 20 69 |Cframe_actions i| 000047b0 6e 20 74 68 65 20 70 72 6f 67 72 61 6d 2e 20 0a |n the program. .| 000047c0 54 68 69 73 20 70 72 6f 63 65 64 75 72 65 20 69 |This procedure i| 000047d0 73 20 63 61 6c 6c 65 64 20 61 66 74 65 72 20 65 |s called after e| 000047e0 61 63 68 20 66 72 61 6d 65 20 68 61 73 20 62 65 |ach frame has be| 000047f0 65 6e 20 64 72 61 77 6e 2c 20 77 69 74 68 20 74 |en drawn, with t| 00004800 68 65 20 66 72 61 6d 65 0a 6e 75 6d 62 65 72 20 |he frame.number | 00004810 70 61 73 73 65 64 20 69 6e 20 66 72 61 6d 65 25 |passed in frame%| 00004820 2e 20 20 54 6f 20 73 61 76 65 20 61 20 70 69 63 |. To save a pic| 00004830 74 75 72 65 20 6f 66 20 66 72 61 6d 65 20 33 30 |ture of frame 30| 00004840 2c 20 61 64 64 20 61 20 6c 69 6e 65 20 61 74 20 |, add a line at | 00004850 74 68 65 0a 62 65 67 69 6e 6e 69 6e 67 20 6f 66 |the.beginning of| 00004860 20 50 52 4f 43 66 72 61 6d 65 5f 61 63 74 69 6f | PROCframe_actio| 00004870 6e 73 20 77 68 69 63 68 20 73 61 79 73 3a 0a 20 |ns which says:. | 00004880 20 20 20 20 20 20 20 20 20 49 46 20 66 72 61 6d | IF fram| 00004890 65 25 3d 33 30 20 54 48 45 4e 20 2a 53 63 72 65 |e%=30 THEN *Scre| 000048a0 65 6e 53 61 76 65 20 46 45 4d 53 70 69 63 33 30 |enSave FEMSpic30| 000048b0 0a 20 20 20 20 20 59 6f 75 20 63 6f 75 6c 64 20 |. You could | 000048c0 61 6c 73 6f 20 6d 61 6b 65 20 74 68 65 20 53 63 |also make the Sc| 000048d0 72 65 65 6e 53 61 76 65 20 63 6f 6e 64 69 74 69 |reenSave conditi| 000048e0 6f 6e 61 6c 20 6f 6e 20 74 68 65 20 41 6c 74 20 |onal on the Alt | 000048f0 6b 65 79 20 62 65 69 6e 67 0a 68 65 6c 64 20 64 |key being.held d| 00004900 6f 77 6e 2c 20 66 6f 72 20 65 78 61 6d 70 6c 65 |own, for example| 00004910 2e 0a 0a 46 41 43 45 54 20 4f 55 54 50 55 54 0a |...FACET OUTPUT.| 00004920 20 20 20 20 20 49 20 68 61 76 65 20 69 6e 63 6c | I have incl| 00004930 75 64 65 64 20 69 6e 20 74 68 65 20 70 72 6f 67 |uded in the prog| 00004940 72 61 6d 20 61 20 66 61 63 69 6c 69 74 79 20 74 |ram a facility t| 00004950 6f 20 6f 75 74 70 75 74 20 74 68 65 20 63 6f 6f |o output the coo| 00004960 72 64 69 6e 61 74 65 73 20 6f 66 0a 61 6c 6c 20 |rdinates of.all | 00004970 74 68 65 20 74 72 69 61 6e 67 75 6c 61 72 20 22 |the triangular "| 00004980 66 61 63 65 74 73 22 20 77 68 69 63 68 20 6d 61 |facets" which ma| 00004990 6b 65 20 75 70 20 74 68 65 20 73 75 72 66 61 63 |ke up the surfac| 000049a0 65 73 20 6f 66 20 74 68 65 20 6f 62 6a 65 63 74 |es of the object| 000049b0 73 2e 20 20 59 6f 75 0a 63 6f 75 6c 64 20 75 73 |s. You.could us| 000049c0 65 20 74 68 69 73 20 64 61 74 61 20 74 6f 20 63 |e this data to c| 000049d0 72 65 61 74 65 20 61 6e 20 69 6e 70 75 74 20 66 |reate an input f| 000049e0 69 6c 65 20 66 6f 72 20 61 20 72 61 79 20 74 72 |ile for a ray tr| 000049f0 61 63 65 72 20 6f 72 20 6f 74 68 65 72 20 33 44 |acer or other 3D| 00004a00 0a 72 65 6e 64 65 72 69 6e 67 20 70 72 6f 67 72 |.rendering progr| 00004a10 61 6d 2e 20 20 41 73 20 66 6f 72 20 73 63 72 65 |am. As for scre| 00004a20 65 6e 73 68 6f 74 73 2c 20 79 6f 75 20 6a 75 73 |enshots, you jus| 00004a30 74 20 61 64 64 20 61 20 6c 69 6e 65 20 74 6f 0a |t add a line to.| 00004a40 50 52 4f 43 66 72 61 6d 65 5f 61 63 74 69 6f 6e |PROCframe_action| 00004a50 73 20 6c 69 6b 65 3a 0a 20 20 20 20 20 20 20 20 |s like:. | 00004a60 20 20 49 46 20 66 72 61 6d 65 25 3d 33 30 20 54 | IF frame%=30 T| 00004a70 48 45 4e 20 50 52 4f 43 6f 75 74 70 75 74 5f 66 |HEN PROCoutput_f| 00004a80 61 63 65 74 73 28 22 24 2e 54 65 6d 70 2e 66 61 |acets("$.Temp.fa| 00004a90 63 65 74 73 33 30 22 29 0a 20 20 20 20 20 77 68 |cets30"). wh| 00004aa0 69 63 68 20 77 69 6c 6c 20 63 72 65 61 74 65 20 |ich will create | 00004ab0 61 20 64 61 74 61 20 66 69 6c 65 20 77 68 65 6e |a data file when| 00004ac0 20 74 68 65 20 70 72 6f 67 72 61 6d 20 72 65 61 | the program rea| 00004ad0 63 68 65 73 20 74 68 65 20 33 30 74 68 20 66 72 |ches the 30th fr| 00004ae0 61 6d 65 2e 20 0a 54 68 65 20 64 61 74 61 20 66 |ame. .The data f| 00004af0 69 6c 65 20 63 6f 6e 73 69 73 74 73 20 6f 66 20 |ile consists of | 00004b00 61 20 6c 69 73 74 20 6f 66 20 6e 75 6d 62 65 72 |a list of number| 00004b10 73 20 77 68 69 63 68 20 63 61 6e 20 74 68 65 20 |s which can the | 00004b20 72 65 61 64 20 62 79 20 61 0a 20 20 20 20 20 20 |read by a. | 00004b30 20 20 20 20 49 4e 50 55 54 23 63 68 61 6e 25 2c | INPUT#chan%,| 00004b40 41 25 0a 20 20 20 20 20 74 79 70 65 20 42 41 53 |A%. type BAS| 00004b50 49 43 20 73 74 61 74 65 6d 65 6e 74 2e 20 20 59 |IC statement. Y| 00004b60 6f 75 20 63 61 6e 20 72 65 61 64 20 74 68 65 20 |ou can read the | 00004b70 66 69 6c 65 20 77 69 74 68 20 61 20 70 72 6f 67 |file with a prog| 00004b80 72 61 6d 20 77 68 69 63 68 20 6c 6f 6f 6b 73 0a |ram which looks.| 00004b90 73 6f 6d 65 74 68 69 6e 67 20 6c 69 6b 65 20 74 |something like t| 00004ba0 68 69 73 3a 0a 0a 20 20 20 20 20 20 20 20 20 20 |his:.. | 00004bb0 52 45 50 45 41 54 0a 20 20 20 20 20 20 20 20 20 |REPEAT. | 00004bc0 20 20 49 4e 50 55 54 23 63 68 61 6e 25 2c 41 25 | INPUT#chan%,A%| 00004bd0 0a 20 20 20 20 20 20 20 20 20 20 20 49 46 20 41 |. IF A| 00004be0 25 3c 3e 31 20 54 48 45 4e 20 45 52 52 4f 52 20 |%<>1 THEN ERROR | 00004bf0 31 2c 22 42 61 64 20 66 69 6c 65 22 0a 20 20 20 |1,"Bad file". | 00004c00 20 20 20 20 20 20 20 20 49 4e 50 55 54 23 63 68 | INPUT#ch| 00004c10 61 6e 25 2c 4e 25 0a 20 20 20 20 20 20 20 20 20 |an%,N%. | 00004c20 20 20 46 4f 52 20 69 25 3d 31 20 54 4f 20 4e 25 | FOR i%=1 TO N%| 00004c30 0a 20 20 20 20 20 20 20 20 20 20 20 20 49 4e 50 |. INP| 00004c40 55 54 23 63 68 61 6e 25 2c 58 31 25 2c 59 31 25 |UT#chan%,X1%,Y1%| 00004c50 2c 5a 31 25 0a 20 20 20 20 20 20 20 20 20 20 20 |,Z1%. | 00004c60 20 49 4e 50 55 54 23 63 68 61 6e 25 2c 58 32 25 | INPUT#chan%,X2%| 00004c70 2c 59 32 25 2c 5a 32 25 0a 20 20 20 20 20 20 20 |,Y2%,Z2%. | 00004c80 20 20 20 20 20 49 4e 50 55 54 23 63 68 61 6e 25 | INPUT#chan%| 00004c90 2c 58 33 25 2c 59 33 25 2c 5a 33 25 0a 20 20 20 |,X3%,Y3%,Z3%. | 00004ca0 20 20 20 20 20 20 20 20 20 52 45 4d 20 64 6f 20 | REM do | 00004cb0 73 6f 6d 65 74 68 69 6e 67 20 77 69 74 68 20 74 |something with t| 00004cc0 68 65 20 64 61 74 61 20 68 65 72 65 0a 20 20 20 |he data here. | 00004cd0 20 20 20 20 20 20 20 20 4e 45 58 54 0a 20 20 20 | NEXT. | 00004ce0 20 20 20 20 20 20 20 55 4e 54 49 4c 20 45 4f 46 | UNTIL EOF| 00004cf0 23 63 68 61 6e 25 0a 0a 20 20 20 20 20 54 68 65 |#chan%.. The| 00004d00 20 63 6f 6f 72 64 69 6e 61 74 65 73 20 6f 66 20 | coordinates of | 00004d10 74 68 65 20 74 68 72 65 65 20 63 6f 72 6e 65 72 |the three corner| 00004d20 73 20 6f 66 20 65 61 63 68 20 66 61 63 65 74 20 |s of each facet | 00004d30 61 72 65 20 67 69 76 65 6e 20 69 6e 20 75 6e 69 |are given in uni| 00004d40 74 73 0a 6f 66 20 31 2f 36 34 30 74 68 20 6f 66 |ts.of 1/640th of| 00004d50 20 61 20 70 6f 69 6e 74 2c 20 77 68 69 63 68 20 | a point, which | 00004d60 69 73 20 31 2f 26 42 34 30 30 20 6f 66 20 61 6e |is 1/&B400 of an| 00004d70 20 69 6e 63 68 2e 0a 0a 20 20 20 20 20 48 61 76 | inch... Hav| 00004d80 65 20 66 75 6e 21 |e fun!| 00004d86