Home » Archimedes archive » Acorn User » AU 1996-03 B.adf » Regulars » StarInfo/Waters/!Rubix/!Help/Docs/ReadMe
StarInfo/Waters/!Rubix/!Help/Docs/ReadMe
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 1996-03 B.adf » Regulars |
| Filename: | StarInfo/Waters/!Rubix/!Help/Docs/ReadMe |
| Read OK: | ✔ |
| File size: | 2365 bytes |
| Load address: | 0000 |
| Exec address: | 0000 |
File contents
*------------------------------------------------------------------------*
/ !Rubix - by Robert Waters (version 1.10, 20th August 1995) /
*------------------------------------------------------------------------*
Had I written this ten years ago, when Rubik's Cube was still in its
heyday, it would probably have attracted much more attention than it will
now. But I didn't have the computer or the solution ten years ago, and
besides I was only five years old.
!Rubix, as you may have guessed, is intended to provide a solution for the
Rubik's Cube. It is based on the book 'The Simple Solution to Rubik's Cube'
by James G. Nourse, published by Bantam Books; selected moves are taken from
'Cube Games' by Don Taylor and Leanne Rylands.
Tested on RISC OS 2 and RISC OS 3.11.
A brief history of the Rubik's Cube
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
This fascinating puzzle was designed by Ern� Rubik, an architect and teacher
in Budapest, Hungary. It was apparently designed independently by Terutoshi
Ishige, an engineer in Japan. Both applied for patents in the mid-1970s.
Professor Rubik designed the cube as an aid to his students in recognizing
spatial relationships in three dimensions.
The cubes were first manufactured in Hungary and became available in Europe
in 1978. It is only recently that they have achieved their substantial
worldwide popularity (many millions sold!) They have been widely available
in the United States only since 1980. It seems that these cubes were almost
as common as ornaments during the 1980 holiday season.
The Rubik's cube has 43,252,003,274,489,856,000 possible combinations; this
program solves the cube every time by selecting up to 17 from just 181
different sequences! Several books now exist providing a solution for the
cube, but *as far as I know* no program like this exists for any computer.
But before you use it, the following problem, common to all cube-solving
systems, must be pointed out:
* If you don't use a cube, and input a random sequence of colours, massive
odds are against you getting a solution. You are also unlikely to solve
the cube if you have peeled off the stickers and rearranged them, or
taken the cube apart. This is very silly, and few resulting arrangements
will lead to a solution. However, if you have very sensibly not done
this, and you type in the colours correctly, a solution will be found,
� no matter how much you have turned the faces, guaranteed to involve less
than 150 face turns.
If you input the colour sequence carefully, a few times, and cannot get
a solution, you (or somebody else...) have probably taken the cube apart
or rearranged the stickers. In this case, peel off all the stickers
and replace them so that they are all the same colour on any one face.
Now, after muddling the cube by turning faces only, !Rubix should provide
a working solution.
Use of !Rubix
~~~~~~~~~~~~~
Load in the usual way, and click on the icon bar icon (a nice little cube).
This will take you to a full-screen blank Rubik's Cube with the six colours
alongside and instructions at the top. In short, just follow these. At any
point before completing the colours, you can get back to the desktop by
pressing Escape.
Hold your cube as shown, with a corner pointing towards you and a face on
the top. A square on the cube will be flashing black and white; this is the
highlighted square. Click on one of the six coloured panels on the right
corresponding to the colour of the sticker on your cube in the position
corresponding to the highlighted square on the screen. Now that may sound
awfully complicated, but is isn't - better phrased versions on a postcard
please. Carry on as the highlighted square moves across each face. If you
make a mistake, click on Remove Square to go back a square.
After completing a face, you must click on OK to continue, or Remove Square
to go back as before. After clicking OK you cannot go back without pressing
Escape and restarting. When you have completed the visible portion, the cube
will rotate slowly, in fact very slowly, since I can't do machine code. If
you tend to fall asleep at this point, you can select Fast Rotation from the
main menu, and the colours will disappear during rotation, speeding up the
process. A new, blank face will come into view - rotate your cube
correspondingly and continue.
When you have entered the last colour, and clicked on OK a total of six
times (once for each face) there will be a pause, and then you are returned
to the Desktop. A window will have opened, containing a picture of the cube,
and a strange sequence of letters and symbols alongside. Believe it or not,
this is the solution!
Clicking Adjust on the icon bar icon opens the Solution window.
Keys : If you find using the mouse slow, press 1-6 to enter the colour
~~~~ sequence, Enter/Return to replace OK, and Delete to Remove Squares.
Interpreting the solution
~~~~~~~~~~~~~~~~~~~~~~~~~
This is the most difficult part of all. While reading this, you are advised
to have in view the Draw file 'Cubes' from the same directory as this file.
The solution consists of a string of letters each followed by a symbol
(+ - or 2). Each letter-symbol pair represents a single turn of a face.
The letter represents a face, as follows:
L : left face \ These three faces are
T : top face } labelled on the cube
F : front face / in the solution window.
R : right face
B : bottom face
P : posterior (back) face
The three symbols represent:
+ : 90 degrees (one quarter turn) clockwise rotation.
Faces are rotated clockwise as if the face in question
is facing you.
The six clockwise turns are illustrated in the draw file 'Cubes'.
Take careful notice now, and whenever you use !Rubix, which way
clockwise is for each face - this is not as simple as it sounds.
I find turning the P face particularly confusing, as it cannot be
seen and feels as if it should be the other way. Remember -
one wrong turn will cause the entire sequence to fail, and you
will have to start all over again.
- : 90 degrees (one quarter turn) anticlockwise rotation.
This is simply a turn in the opposite direction to that for
a clockwise rotation. These are not illustrated, but are easy
to work out from the clockwise rotations.
2 : 180 degrees (one half turn) rotation.
Of course, it does not matter which way you turn the face
for this turn, making this the easiest rotation.
e.g. L+R-F+B2: turn left face 90 degrees clockwise
turn right face 90 degrees anticlockwise
turn front face 90 degrees clockwise
turn bottom face 180 degrees.
N.B. Don't confuse B (bottom) and P (posterior) - B is not the back!
~~~
The notation described above was designed by James G. Nourse, author of
'The Simple Solution to Rubik's Cube'. You may be familiar with the
alternative notation designed by David Singmaster, and used frequently in
Scientific American magazine. If so, select Singmaster from the Notation
submenu, which you can get from the icon bar or the window. It is perhaps
more common, but in my opinion not as plain. Try it and see!
As above, except: U = top (up) face
D = bottom (down) face
B = posterior (back) face
superscript 2 = half turn
superscript -1 = anticlockwise quarter turn
A letter on its own (with no symbol) represents a clockwise quarter turn.
Altering the palette
~~~~~~~~~~~~~~~~~~~~
The six colours on the faces of a Rubik's Cube are usually: red, green,
yellow, blue, white and orange. These are the default values in !Rubix,
but selecting Palette � From File, allows the six colours to be defined by
colours 1-6 in the !Palette file from the same directory as this file.
Load !Palette, change colours 1-6 to match those on your cube, and resave
it with the same name to use !Rubix with different colours.
The book
~~~~~~~~
'The Simple Solution to Rubik's Cube' contains a complete, easy-to-memorise
solution for any arrangement of the Rubik's Cube. It also contains more
information on the cube, plus sections on speed cubing, hints, short-cuts,
and various cube games including cube alphabet.
Me!!!
~~~~~
Name: Robert Waters
Address: 30 Little London,
Long Sutton,
Spalding,
Lincs.
PE12 9LE
History of !Rubix
~~~~~~~~~~~~~~~~~
c.Jul 94 : Writing of !Rubix started.
c.Nov 95 : Version 0.00 worked but was not multi-tasking.
09/07/95 : Version 1.00 completed with Wimp Shell built around.
20/08/95 : Version 1.10 - most bugs removed; palette problems fixed by using
ColourTrans; keyboard control and customisable palette added.
Also by me
~~~~~~~~~~
!Lottery - provides rapid checking for lottery tickets as the draw happens.
Fully multi-tasking.
00000000 20 20 2a 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d | *-------------| 00000010 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d |----------------| * 00000040 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 2a 0a 20 2f 20 |-----------*. / | 00000050 20 20 20 20 20 20 21 52 75 62 69 78 20 2d 20 62 | !Rubix - b| 00000060 79 20 52 6f 62 65 72 74 20 57 61 74 65 72 73 20 |y Robert Waters | 00000070 28 76 65 72 73 69 6f 6e 20 31 2e 31 30 2c 20 32 |(version 1.10, 2| 00000080 30 74 68 20 41 75 67 75 73 74 20 31 39 39 35 29 |0th August 1995)| 00000090 20 20 20 20 20 20 20 2f 0a 2a 2d 2d 2d 2d 2d 2d | /.*------| 000000a0 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d |----------------| * 000000e0 2d 2d 2a 0a 0a 48 61 64 20 49 20 77 72 69 74 74 |--*..Had I writt| 000000f0 65 6e 20 74 68 69 73 20 74 65 6e 20 79 65 61 72 |en this ten year| 00000100 73 20 61 67 6f 2c 20 77 68 65 6e 20 52 75 62 69 |s ago, when Rubi| 00000110 6b 27 73 20 43 75 62 65 20 77 61 73 20 73 74 69 |k's Cube was sti| 00000120 6c 6c 20 69 6e 20 69 74 73 0a 68 65 79 64 61 79 |ll in its.heyday| 00000130 2c 20 69 74 20 77 6f 75 6c 64 20 70 72 6f 62 61 |, it would proba| 00000140 62 6c 79 20 68 61 76 65 20 61 74 74 72 61 63 74 |bly have attract| 00000150 65 64 20 6d 75 63 68 20 6d 6f 72 65 20 61 74 74 |ed much more att| 00000160 65 6e 74 69 6f 6e 20 74 68 61 6e 20 69 74 20 77 |ention than it w| 00000170 69 6c 6c 0a 6e 6f 77 2e 20 42 75 74 20 49 20 64 |ill.now. But I d| 00000180 69 64 6e 27 74 20 68 61 76 65 20 74 68 65 20 63 |idn't have the c| 00000190 6f 6d 70 75 74 65 72 20 6f 72 20 74 68 65 20 73 |omputer or the s| 000001a0 6f 6c 75 74 69 6f 6e 20 74 65 6e 20 79 65 61 72 |olution ten year| 000001b0 73 20 61 67 6f 2c 20 61 6e 64 0a 62 65 73 69 64 |s ago, and.besid| 000001c0 65 73 20 49 20 77 61 73 20 6f 6e 6c 79 20 66 69 |es I was only fi| 000001d0 76 65 20 79 65 61 72 73 20 6f 6c 64 2e 0a 0a 21 |ve years old...!| 000001e0 52 75 62 69 78 2c 20 61 73 20 79 6f 75 20 6d 61 |Rubix, as you ma| 000001f0 79 20 68 61 76 65 20 67 75 65 73 73 65 64 2c 20 |y have guessed, | 00000200 69 73 20 69 6e 74 65 6e 64 65 64 20 74 6f 20 70 |is intended to p| 00000210 72 6f 76 69 64 65 20 61 20 73 6f 6c 75 74 69 6f |rovide a solutio| 00000220 6e 20 66 6f 72 20 74 68 65 0a 52 75 62 69 6b 27 |n for the.Rubik'| 00000230 73 20 43 75 62 65 2e 20 49 74 20 69 73 20 62 61 |s Cube. It is ba| 00000240 73 65 64 20 6f 6e 20 74 68 65 20 62 6f 6f 6b 20 |sed on the book | 00000250 27 54 68 65 20 53 69 6d 70 6c 65 20 53 6f 6c 75 |'The Simple Solu| 00000260 74 69 6f 6e 20 74 6f 20 52 75 62 69 6b 27 73 20 |tion to Rubik's | 00000270 43 75 62 65 27 0a 62 79 20 4a 61 6d 65 73 20 47 |Cube'.by James G| 00000280 2e 20 4e 6f 75 72 73 65 2c 20 70 75 62 6c 69 73 |. Nourse, publis| 00000290 68 65 64 20 62 79 20 42 61 6e 74 61 6d 20 42 6f |hed by Bantam Bo| 000002a0 6f 6b 73 3b 20 73 65 6c 65 63 74 65 64 20 6d 6f |oks; selected mo| 000002b0 76 65 73 20 61 72 65 20 74 61 6b 65 6e 20 66 72 |ves are taken fr| 000002c0 6f 6d 0a 27 43 75 62 65 20 47 61 6d 65 73 27 20 |om.'Cube Games' | 000002d0 62 79 20 44 6f 6e 20 54 61 79 6c 6f 72 20 61 6e |by Don Taylor an| 000002e0 64 20 4c 65 61 6e 6e 65 20 52 79 6c 61 6e 64 73 |d Leanne Rylands| 000002f0 2e 0a 0a 54 65 73 74 65 64 20 6f 6e 20 52 49 53 |...Tested on RIS| 00000300 43 20 4f 53 20 32 20 61 6e 64 20 52 49 53 43 20 |C OS 2 and RISC | 00000310 4f 53 20 33 2e 31 31 2e 0a 0a 41 20 62 72 69 65 |OS 3.11...A brie| 00000320 66 20 68 69 73 74 6f 72 79 20 6f 66 20 74 68 65 |f history of the| 00000330 20 52 75 62 69 6b 27 73 20 43 75 62 65 0a 7e 7e | Rubik's Cube.~~| 00000340 7e 7e 7e 7e 7e 7e 7e 7e 7e 7e 7e 7e 7e 7e 7e 7e |~~~~~~~~~~~~~~~~| * 00000360 7e 0a 54 68 69 73 20 66 61 73 63 69 6e 61 74 69 |~.This fascinati| 00000370 6e 67 20 70 75 7a 7a 6c 65 20 77 61 73 20 64 65 |ng puzzle was de| 00000380 73 69 67 6e 65 64 20 62 79 20 45 72 6e f6 20 52 |signed by Ern. R| 00000390 75 62 69 6b 2c 20 61 6e 20 61 72 63 68 69 74 65 |ubik, an archite| 000003a0 63 74 20 61 6e 64 20 74 65 61 63 68 65 72 0a 69 |ct and teacher.i| 000003b0 6e 20 42 75 64 61 70 65 73 74 2c 20 48 75 6e 67 |n Budapest, Hung| 000003c0 61 72 79 2e 20 49 74 20 77 61 73 20 61 70 70 61 |ary. It was appa| 000003d0 72 65 6e 74 6c 79 20 64 65 73 69 67 6e 65 64 20 |rently designed | 000003e0 69 6e 64 65 70 65 6e 64 65 6e 74 6c 79 20 62 79 |independently by| 000003f0 20 54 65 72 75 74 6f 73 68 69 0a 49 73 68 69 67 | Terutoshi.Ishig| 00000400 65 2c 20 61 6e 20 65 6e 67 69 6e 65 65 72 20 69 |e, an engineer i| 00000410 6e 20 4a 61 70 61 6e 2e 20 42 6f 74 68 20 61 70 |n Japan. Both ap| 00000420 70 6c 69 65 64 20 66 6f 72 20 70 61 74 65 6e 74 |plied for patent| 00000430 73 20 69 6e 20 74 68 65 20 6d 69 64 2d 31 39 37 |s in the mid-197| 00000440 30 73 2e 0a 50 72 6f 66 65 73 73 6f 72 20 52 75 |0s..Professor Ru| 00000450 62 69 6b 20 64 65 73 69 67 6e 65 64 20 74 68 65 |bik designed the| 00000460 20 63 75 62 65 20 61 73 20 61 6e 20 61 69 64 20 | cube as an aid | 00000470 74 6f 20 68 69 73 20 73 74 75 64 65 6e 74 73 20 |to his students | 00000480 69 6e 20 72 65 63 6f 67 6e 69 7a 69 6e 67 0a 73 |in recognizing.s| 00000490 70 61 74 69 61 6c 20 72 65 6c 61 74 69 6f 6e 73 |patial relations| 000004a0 68 69 70 73 20 69 6e 20 74 68 72 65 65 20 64 69 |hips in three di| 000004b0 6d 65 6e 73 69 6f 6e 73 2e 0a 0a 54 68 65 20 63 |mensions...The c| 000004c0 75 62 65 73 20 77 65 72 65 20 66 69 72 73 74 20 |ubes were first | 000004d0 6d 61 6e 75 66 61 63 74 75 72 65 64 20 69 6e 20 |manufactured in | 000004e0 48 75 6e 67 61 72 79 20 61 6e 64 20 62 65 63 61 |Hungary and beca| 000004f0 6d 65 20 61 76 61 69 6c 61 62 6c 65 20 69 6e 20 |me available in | 00000500 45 75 72 6f 70 65 0a 69 6e 20 31 39 37 38 2e 20 |Europe.in 1978. | 00000510 49 74 20 69 73 20 6f 6e 6c 79 20 72 65 63 65 6e |It is only recen| 00000520 74 6c 79 20 74 68 61 74 20 74 68 65 79 20 68 61 |tly that they ha| 00000530 76 65 20 61 63 68 69 65 76 65 64 20 74 68 65 69 |ve achieved thei| 00000540 72 20 73 75 62 73 74 61 6e 74 69 61 6c 0a 77 6f |r substantial.wo| 00000550 72 6c 64 77 69 64 65 20 70 6f 70 75 6c 61 72 69 |rldwide populari| 00000560 74 79 20 28 6d 61 6e 79 20 6d 69 6c 6c 69 6f 6e |ty (many million| 00000570 73 20 73 6f 6c 64 21 29 20 54 68 65 79 20 68 61 |s sold!) They ha| 00000580 76 65 20 62 65 65 6e 20 77 69 64 65 6c 79 20 61 |ve been widely a| 00000590 76 61 69 6c 61 62 6c 65 0a 69 6e 20 74 68 65 20 |vailable.in the | 000005a0 55 6e 69 74 65 64 20 53 74 61 74 65 73 20 6f 6e |United States on| 000005b0 6c 79 20 73 69 6e 63 65 20 31 39 38 30 2e 20 49 |ly since 1980. I| 000005c0 74 20 73 65 65 6d 73 20 74 68 61 74 20 74 68 65 |t seems that the| 000005d0 73 65 20 63 75 62 65 73 20 77 65 72 65 20 61 6c |se cubes were al| 000005e0 6d 6f 73 74 0a 61 73 20 63 6f 6d 6d 6f 6e 20 61 |most.as common a| 000005f0 73 20 6f 72 6e 61 6d 65 6e 74 73 20 64 75 72 69 |s ornaments duri| 00000600 6e 67 20 74 68 65 20 31 39 38 30 20 68 6f 6c 69 |ng the 1980 holi| 00000610 64 61 79 20 73 65 61 73 6f 6e 2e 0a 0a 54 68 65 |day season...The| 00000620 20 52 75 62 69 6b 27 73 20 63 75 62 65 20 68 61 | Rubik's cube ha| 00000630 73 20 34 33 2c 32 35 32 2c 30 30 33 2c 32 37 34 |s 43,252,003,274| 00000640 2c 34 38 39 2c 38 35 36 2c 30 30 30 20 70 6f 73 |,489,856,000 pos| 00000650 73 69 62 6c 65 20 63 6f 6d 62 69 6e 61 74 69 6f |sible combinatio| 00000660 6e 73 3b 20 74 68 69 73 0a 70 72 6f 67 72 61 6d |ns; this.program| 00000670 20 73 6f 6c 76 65 73 20 74 68 65 20 63 75 62 65 | solves the cube| 00000680 20 65 76 65 72 79 20 74 69 6d 65 20 62 79 20 73 | every time by s| 00000690 65 6c 65 63 74 69 6e 67 20 75 70 20 74 6f 20 31 |electing up to 1| 000006a0 37 20 66 72 6f 6d 20 6a 75 73 74 20 31 38 31 0a |7 from just 181.| 000006b0 64 69 66 66 65 72 65 6e 74 20 73 65 71 75 65 6e |different sequen| 000006c0 63 65 73 21 20 53 65 76 65 72 61 6c 20 62 6f 6f |ces! Several boo| 000006d0 6b 73 20 6e 6f 77 20 65 78 69 73 74 20 70 72 6f |ks now exist pro| 000006e0 76 69 64 69 6e 67 20 61 20 73 6f 6c 75 74 69 6f |viding a solutio| 000006f0 6e 20 66 6f 72 20 74 68 65 0a 63 75 62 65 2c 20 |n for the.cube, | 00000700 62 75 74 20 2a 61 73 20 66 61 72 20 61 73 20 49 |but *as far as I| 00000710 20 6b 6e 6f 77 2a 20 6e 6f 20 70 72 6f 67 72 61 | know* no progra| 00000720 6d 20 6c 69 6b 65 20 74 68 69 73 20 65 78 69 73 |m like this exis| 00000730 74 73 20 66 6f 72 20 61 6e 79 20 63 6f 6d 70 75 |ts for any compu| 00000740 74 65 72 2e 0a 42 75 74 20 62 65 66 6f 72 65 20 |ter..But before | 00000750 79 6f 75 20 75 73 65 20 69 74 2c 20 74 68 65 20 |you use it, the | 00000760 66 6f 6c 6c 6f 77 69 6e 67 20 70 72 6f 62 6c 65 |following proble| 00000770 6d 2c 20 63 6f 6d 6d 6f 6e 20 74 6f 20 61 6c 6c |m, common to all| 00000780 20 63 75 62 65 2d 73 6f 6c 76 69 6e 67 0a 73 79 | cube-solving.sy| 00000790 73 74 65 6d 73 2c 20 6d 75 73 74 20 62 65 20 70 |stems, must be p| 000007a0 6f 69 6e 74 65 64 20 6f 75 74 3a 0a 0a 2a 20 20 |ointed out:..* | 000007b0 49 66 20 79 6f 75 20 64 6f 6e 27 74 20 75 73 65 |If you don't use| 000007c0 20 61 20 63 75 62 65 2c 20 61 6e 64 20 69 6e 70 | a cube, and inp| 000007d0 75 74 20 61 20 72 61 6e 64 6f 6d 20 73 65 71 75 |ut a random sequ| 000007e0 65 6e 63 65 20 6f 66 20 63 6f 6c 6f 75 72 73 2c |ence of colours,| 000007f0 20 6d 61 73 73 69 76 65 0a 20 20 20 6f 64 64 73 | massive. odds| 00000800 20 61 72 65 20 61 67 61 69 6e 73 74 20 79 6f 75 | are against you| 00000810 20 67 65 74 74 69 6e 67 20 61 20 73 6f 6c 75 74 | getting a solut| 00000820 69 6f 6e 2e 20 59 6f 75 20 61 72 65 20 61 6c 73 |ion. You are als| 00000830 6f 20 75 6e 6c 69 6b 65 6c 79 20 74 6f 20 73 6f |o unlikely to so| 00000840 6c 76 65 0a 20 20 20 74 68 65 20 63 75 62 65 20 |lve. the cube | 00000850 69 66 20 79 6f 75 20 68 61 76 65 20 70 65 65 6c |if you have peel| 00000860 65 64 20 6f 66 66 20 74 68 65 20 73 74 69 63 6b |ed off the stick| 00000870 65 72 73 20 61 6e 64 20 72 65 61 72 72 61 6e 67 |ers and rearrang| 00000880 65 64 20 74 68 65 6d 2c 20 6f 72 0a 20 20 20 74 |ed them, or. t| 00000890 61 6b 65 6e 20 74 68 65 20 63 75 62 65 20 61 70 |aken the cube ap| 000008a0 61 72 74 2e 20 54 68 69 73 20 69 73 20 76 65 72 |art. This is ver| 000008b0 79 20 73 69 6c 6c 79 2c 20 61 6e 64 20 66 65 77 |y silly, and few| 000008c0 20 72 65 73 75 6c 74 69 6e 67 20 61 72 72 61 6e | resulting arran| 000008d0 67 65 6d 65 6e 74 73 0a 20 20 20 77 69 6c 6c 20 |gements. will | 000008e0 6c 65 61 64 20 74 6f 20 61 20 73 6f 6c 75 74 69 |lead to a soluti| 000008f0 6f 6e 2e 20 48 6f 77 65 76 65 72 2c 20 69 66 20 |on. However, if | 00000900 79 6f 75 20 68 61 76 65 20 76 65 72 79 20 73 65 |you have very se| 00000910 6e 73 69 62 6c 79 20 6e 6f 74 20 64 6f 6e 65 0a |nsibly not done.| 00000920 20 20 20 74 68 69 73 2c 20 61 6e 64 20 79 6f 75 | this, and you| 00000930 20 74 79 70 65 20 69 6e 20 74 68 65 20 63 6f 6c | type in the col| 00000940 6f 75 72 73 20 63 6f 72 72 65 63 74 6c 79 2c 20 |ours correctly, | 00000950 61 20 73 6f 6c 75 74 69 6f 6e 20 77 69 6c 6c 20 |a solution will | 00000960 62 65 20 66 6f 75 6e 64 2c 0a a0 20 20 6e 6f 20 |be found,.. no | 00000970 6d 61 74 74 65 72 20 68 6f 77 20 6d 75 63 68 20 |matter how much | 00000980 79 6f 75 20 68 61 76 65 20 74 75 72 6e 65 64 20 |you have turned | 00000990 74 68 65 20 66 61 63 65 73 2c 20 67 75 61 72 61 |the faces, guara| 000009a0 6e 74 65 65 64 20 74 6f 20 69 6e 76 6f 6c 76 65 |nteed to involve| 000009b0 20 6c 65 73 73 0a 20 20 20 74 68 61 6e 20 31 35 | less. than 15| 000009c0 30 20 66 61 63 65 20 74 75 72 6e 73 2e 0a 20 20 |0 face turns.. | 000009d0 20 49 66 20 79 6f 75 20 69 6e 70 75 74 20 74 68 | If you input th| 000009e0 65 20 63 6f 6c 6f 75 72 20 73 65 71 75 65 6e 63 |e colour sequenc| 000009f0 65 20 63 61 72 65 66 75 6c 6c 79 2c 20 61 20 66 |e carefully, a f| 00000a00 65 77 20 74 69 6d 65 73 2c 20 61 6e 64 20 63 61 |ew times, and ca| 00000a10 6e 6e 6f 74 20 67 65 74 0a 20 20 20 61 20 73 6f |nnot get. a so| 00000a20 6c 75 74 69 6f 6e 2c 20 79 6f 75 20 28 6f 72 20 |lution, you (or | 00000a30 73 6f 6d 65 62 6f 64 79 20 65 6c 73 65 2e 2e 2e |somebody else...| 00000a40 29 20 68 61 76 65 20 70 72 6f 62 61 62 6c 79 20 |) have probably | 00000a50 74 61 6b 65 6e 20 74 68 65 20 63 75 62 65 20 61 |taken the cube a| 00000a60 70 61 72 74 0a 20 20 20 6f 72 20 72 65 61 72 72 |part. or rearr| 00000a70 61 6e 67 65 64 20 74 68 65 20 73 74 69 63 6b 65 |anged the sticke| 00000a80 72 73 2e 20 49 6e 20 74 68 69 73 20 63 61 73 65 |rs. In this case| 00000a90 2c 20 70 65 65 6c 20 6f 66 66 20 61 6c 6c 20 74 |, peel off all t| 00000aa0 68 65 20 73 74 69 63 6b 65 72 73 0a 20 20 20 61 |he stickers. a| 00000ab0 6e 64 20 72 65 70 6c 61 63 65 20 74 68 65 6d 20 |nd replace them | 00000ac0 73 6f 20 74 68 61 74 20 74 68 65 79 20 61 72 65 |so that they are| 00000ad0 20 61 6c 6c 20 74 68 65 20 73 61 6d 65 20 63 6f | all the same co| 00000ae0 6c 6f 75 72 20 6f 6e 20 61 6e 79 20 6f 6e 65 20 |lour on any one | 00000af0 66 61 63 65 2e 0a 20 20 20 4e 6f 77 2c 20 61 66 |face.. Now, af| 00000b00 74 65 72 20 6d 75 64 64 6c 69 6e 67 20 74 68 65 |ter muddling the| 00000b10 20 63 75 62 65 20 62 79 20 74 75 72 6e 69 6e 67 | cube by turning| 00000b20 20 66 61 63 65 73 20 6f 6e 6c 79 2c 20 21 52 75 | faces only, !Ru| 00000b30 62 69 78 20 73 68 6f 75 6c 64 20 70 72 6f 76 69 |bix should provi| 00000b40 64 65 0a 20 20 20 61 20 77 6f 72 6b 69 6e 67 20 |de. a working | 00000b50 73 6f 6c 75 74 69 6f 6e 2e 0a 0a 55 73 65 20 6f |solution...Use o| 00000b60 66 20 21 52 75 62 69 78 0a 7e 7e 7e 7e 7e 7e 7e |f !Rubix.~~~~~~~| 00000b70 7e 7e 7e 7e 7e 7e 0a 4c 6f 61 64 20 69 6e 20 74 |~~~~~~.Load in t| 00000b80 68 65 20 75 73 75 61 6c 20 77 61 79 2c 20 61 6e |he usual way, an| 00000b90 64 20 63 6c 69 63 6b 20 6f 6e 20 74 68 65 20 69 |d click on the i| 00000ba0 63 6f 6e 20 62 61 72 20 69 63 6f 6e 20 28 61 20 |con bar icon (a | 00000bb0 6e 69 63 65 20 6c 69 74 74 6c 65 20 63 75 62 65 |nice little cube| 00000bc0 29 2e 0a 54 68 69 73 20 77 69 6c 6c 20 74 61 6b |)..This will tak| 00000bd0 65 20 79 6f 75 20 74 6f 20 61 20 66 75 6c 6c 2d |e you to a full-| 00000be0 73 63 72 65 65 6e 20 62 6c 61 6e 6b 20 52 75 62 |screen blank Rub| 00000bf0 69 6b 27 73 20 43 75 62 65 20 77 69 74 68 20 74 |ik's Cube with t| 00000c00 68 65 20 73 69 78 20 63 6f 6c 6f 75 72 73 0a 61 |he six colours.a| 00000c10 6c 6f 6e 67 73 69 64 65 20 61 6e 64 20 69 6e 73 |longside and ins| 00000c20 74 72 75 63 74 69 6f 6e 73 20 61 74 20 74 68 65 |tructions at the| 00000c30 20 74 6f 70 2e 20 49 6e 20 73 68 6f 72 74 2c 20 | top. In short, | 00000c40 6a 75 73 74 20 66 6f 6c 6c 6f 77 20 74 68 65 73 |just follow thes| 00000c50 65 2e 20 41 74 20 61 6e 79 0a 70 6f 69 6e 74 20 |e. At any.point | 00000c60 62 65 66 6f 72 65 20 63 6f 6d 70 6c 65 74 69 6e |before completin| 00000c70 67 20 74 68 65 20 63 6f 6c 6f 75 72 73 2c 20 79 |g the colours, y| 00000c80 6f 75 20 63 61 6e 20 67 65 74 20 62 61 63 6b 20 |ou can get back | 00000c90 74 6f 20 74 68 65 20 64 65 73 6b 74 6f 70 20 62 |to the desktop b| 00000ca0 79 0a 70 72 65 73 73 69 6e 67 20 45 73 63 61 70 |y.pressing Escap| 00000cb0 65 2e 0a 0a 48 6f 6c 64 20 79 6f 75 72 20 63 75 |e...Hold your cu| 00000cc0 62 65 20 61 73 20 73 68 6f 77 6e 2c 20 77 69 74 |be as shown, wit| 00000cd0 68 20 61 20 63 6f 72 6e 65 72 20 70 6f 69 6e 74 |h a corner point| 00000ce0 69 6e 67 20 74 6f 77 61 72 64 73 20 79 6f 75 20 |ing towards you | 00000cf0 61 6e 64 20 61 20 66 61 63 65 20 6f 6e 0a 74 68 |and a face on.th| 00000d00 65 20 74 6f 70 2e 20 41 20 73 71 75 61 72 65 20 |e top. A square | 00000d10 6f 6e 20 74 68 65 20 63 75 62 65 20 77 69 6c 6c |on the cube will| 00000d20 20 62 65 20 66 6c 61 73 68 69 6e 67 20 62 6c 61 | be flashing bla| 00000d30 63 6b 20 61 6e 64 20 77 68 69 74 65 3b 20 74 68 |ck and white; th| 00000d40 69 73 20 69 73 20 74 68 65 0a 68 69 67 68 6c 69 |is is the.highli| 00000d50 67 68 74 65 64 20 73 71 75 61 72 65 2e 20 43 6c |ghted square. Cl| 00000d60 69 63 6b 20 6f 6e 20 6f 6e 65 20 6f 66 20 74 68 |ick on one of th| 00000d70 65 20 73 69 78 20 63 6f 6c 6f 75 72 65 64 20 70 |e six coloured p| 00000d80 61 6e 65 6c 73 20 6f 6e 20 74 68 65 20 72 69 67 |anels on the rig| 00000d90 68 74 0a 63 6f 72 72 65 73 70 6f 6e 64 69 6e 67 |ht.corresponding| 00000da0 20 74 6f 20 74 68 65 20 63 6f 6c 6f 75 72 20 6f | to the colour o| 00000db0 66 20 74 68 65 20 73 74 69 63 6b 65 72 20 6f 6e |f the sticker on| 00000dc0 20 79 6f 75 72 20 63 75 62 65 20 69 6e 20 74 68 | your cube in th| 00000dd0 65 20 70 6f 73 69 74 69 6f 6e 0a 63 6f 72 72 65 |e position.corre| 00000de0 73 70 6f 6e 64 69 6e 67 20 74 6f 20 74 68 65 20 |sponding to the | 00000df0 68 69 67 68 6c 69 67 68 74 65 64 20 73 71 75 61 |highlighted squa| 00000e00 72 65 20 6f 6e 20 74 68 65 20 73 63 72 65 65 6e |re on the screen| 00000e10 2e 20 4e 6f 77 20 74 68 61 74 20 6d 61 79 20 73 |. Now that may s| 00000e20 6f 75 6e 64 0a 61 77 66 75 6c 6c 79 20 63 6f 6d |ound.awfully com| 00000e30 70 6c 69 63 61 74 65 64 2c 20 62 75 74 20 69 73 |plicated, but is| 00000e40 20 69 73 6e 27 74 20 2d 20 62 65 74 74 65 72 20 | isn't - better | 00000e50 70 68 72 61 73 65 64 20 76 65 72 73 69 6f 6e 73 |phrased versions| 00000e60 20 6f 6e 20 61 20 70 6f 73 74 63 61 72 64 0a 70 | on a postcard.p| 00000e70 6c 65 61 73 65 2e 20 43 61 72 72 79 20 6f 6e 20 |lease. Carry on | 00000e80 61 73 20 74 68 65 20 68 69 67 68 6c 69 67 68 74 |as the highlight| 00000e90 65 64 20 73 71 75 61 72 65 20 6d 6f 76 65 73 20 |ed square moves | 00000ea0 61 63 72 6f 73 73 20 65 61 63 68 20 66 61 63 65 |across each face| 00000eb0 2e 20 49 66 20 79 6f 75 0a 6d 61 6b 65 20 61 20 |. If you.make a | 00000ec0 6d 69 73 74 61 6b 65 2c 20 63 6c 69 63 6b 20 6f |mistake, click o| 00000ed0 6e 20 52 65 6d 6f 76 65 20 53 71 75 61 72 65 20 |n Remove Square | 00000ee0 74 6f 20 67 6f 20 62 61 63 6b 20 61 20 73 71 75 |to go back a squ| 00000ef0 61 72 65 2e 0a 0a 41 66 74 65 72 20 63 6f 6d 70 |are...After comp| 00000f00 6c 65 74 69 6e 67 20 61 20 66 61 63 65 2c 20 79 |leting a face, y| 00000f10 6f 75 20 6d 75 73 74 20 63 6c 69 63 6b 20 6f 6e |ou must click on| 00000f20 20 4f 4b 20 74 6f 20 63 6f 6e 74 69 6e 75 65 2c | OK to continue,| 00000f30 20 6f 72 20 52 65 6d 6f 76 65 20 53 71 75 61 72 | or Remove Squar| 00000f40 65 0a 74 6f 20 67 6f 20 62 61 63 6b 20 61 73 20 |e.to go back as | 00000f50 62 65 66 6f 72 65 2e 20 41 66 74 65 72 20 63 6c |before. After cl| 00000f60 69 63 6b 69 6e 67 20 4f 4b 20 79 6f 75 20 63 61 |icking OK you ca| 00000f70 6e 6e 6f 74 20 67 6f 20 62 61 63 6b 20 77 69 74 |nnot go back wit| 00000f80 68 6f 75 74 20 70 72 65 73 73 69 6e 67 0a 45 73 |hout pressing.Es| 00000f90 63 61 70 65 20 61 6e 64 20 72 65 73 74 61 72 74 |cape and restart| 00000fa0 69 6e 67 2e 20 57 68 65 6e 20 79 6f 75 20 68 61 |ing. When you ha| 00000fb0 76 65 20 63 6f 6d 70 6c 65 74 65 64 20 74 68 65 |ve completed the| 00000fc0 20 76 69 73 69 62 6c 65 20 70 6f 72 74 69 6f 6e | visible portion| 00000fd0 2c 20 74 68 65 20 63 75 62 65 0a 77 69 6c 6c 20 |, the cube.will | 00000fe0 72 6f 74 61 74 65 20 73 6c 6f 77 6c 79 2c 20 69 |rotate slowly, i| 00000ff0 6e 20 66 61 63 74 20 76 65 72 79 20 73 6c 6f 77 |n fact very slow| 00001000 6c 79 2c 20 73 69 6e 63 65 20 49 20 63 61 6e 27 |ly, since I can'| 00001010 74 20 64 6f 20 6d 61 63 68 69 6e 65 20 63 6f 64 |t do machine cod| 00001020 65 2e 20 49 66 0a 79 6f 75 20 74 65 6e 64 20 74 |e. If.you tend t| 00001030 6f 20 66 61 6c 6c 20 61 73 6c 65 65 70 20 61 74 |o fall asleep at| 00001040 20 74 68 69 73 20 70 6f 69 6e 74 2c 20 79 6f 75 | this point, you| 00001050 20 63 61 6e 20 73 65 6c 65 63 74 20 46 61 73 74 | can select Fast| 00001060 20 52 6f 74 61 74 69 6f 6e 20 66 72 6f 6d 20 74 | Rotation from t| 00001070 68 65 0a 6d 61 69 6e 20 6d 65 6e 75 2c 20 61 6e |he.main menu, an| 00001080 64 20 74 68 65 20 63 6f 6c 6f 75 72 73 20 77 69 |d the colours wi| 00001090 6c 6c 20 64 69 73 61 70 70 65 61 72 20 64 75 72 |ll disappear dur| 000010a0 69 6e 67 20 72 6f 74 61 74 69 6f 6e 2c 20 73 70 |ing rotation, sp| 000010b0 65 65 64 69 6e 67 20 75 70 20 74 68 65 0a 70 72 |eeding up the.pr| 000010c0 6f 63 65 73 73 2e 20 41 20 6e 65 77 2c 20 62 6c |ocess. A new, bl| 000010d0 61 6e 6b 20 66 61 63 65 20 77 69 6c 6c 20 63 6f |ank face will co| 000010e0 6d 65 20 69 6e 74 6f 20 76 69 65 77 20 2d 20 72 |me into view - r| 000010f0 6f 74 61 74 65 20 79 6f 75 72 20 63 75 62 65 0a |otate your cube.| 00001100 63 6f 72 72 65 73 70 6f 6e 64 69 6e 67 6c 79 20 |correspondingly | 00001110 61 6e 64 20 63 6f 6e 74 69 6e 75 65 2e 0a 0a 57 |and continue...W| 00001120 68 65 6e 20 79 6f 75 20 68 61 76 65 20 65 6e 74 |hen you have ent| 00001130 65 72 65 64 20 74 68 65 20 6c 61 73 74 20 63 6f |ered the last co| 00001140 6c 6f 75 72 2c 20 61 6e 64 20 63 6c 69 63 6b 65 |lour, and clicke| 00001150 64 20 6f 6e 20 4f 4b 20 61 20 74 6f 74 61 6c 20 |d on OK a total | 00001160 6f 66 20 73 69 78 0a 74 69 6d 65 73 20 28 6f 6e |of six.times (on| 00001170 63 65 20 66 6f 72 20 65 61 63 68 20 66 61 63 65 |ce for each face| 00001180 29 20 74 68 65 72 65 20 77 69 6c 6c 20 62 65 20 |) there will be | 00001190 61 20 70 61 75 73 65 2c 20 61 6e 64 20 74 68 65 |a pause, and the| 000011a0 6e 20 79 6f 75 20 61 72 65 20 72 65 74 75 72 6e |n you are return| 000011b0 65 64 0a 74 6f 20 74 68 65 20 44 65 73 6b 74 6f |ed.to the Deskto| 000011c0 70 2e 20 41 20 77 69 6e 64 6f 77 20 77 69 6c 6c |p. A window will| 000011d0 20 68 61 76 65 20 6f 70 65 6e 65 64 2c 20 63 6f | have opened, co| 000011e0 6e 74 61 69 6e 69 6e 67 20 61 20 70 69 63 74 75 |ntaining a pictu| 000011f0 72 65 20 6f 66 20 74 68 65 20 63 75 62 65 2c 0a |re of the cube,.| 00001200 61 6e 64 20 61 20 73 74 72 61 6e 67 65 20 73 65 |and a strange se| 00001210 71 75 65 6e 63 65 20 6f 66 20 6c 65 74 74 65 72 |quence of letter| 00001220 73 20 61 6e 64 20 73 79 6d 62 6f 6c 73 20 61 6c |s and symbols al| 00001230 6f 6e 67 73 69 64 65 2e 20 42 65 6c 69 65 76 65 |ongside. Believe| 00001240 20 69 74 20 6f 72 20 6e 6f 74 2c 0a 74 68 69 73 | it or not,.this| 00001250 20 69 73 20 74 68 65 20 73 6f 6c 75 74 69 6f 6e | is the solution| 00001260 21 0a 0a 43 6c 69 63 6b 69 6e 67 20 41 64 6a 75 |!..Clicking Adju| 00001270 73 74 20 6f 6e 20 74 68 65 20 69 63 6f 6e 20 62 |st on the icon b| 00001280 61 72 20 69 63 6f 6e 20 6f 70 65 6e 73 20 74 68 |ar icon opens th| 00001290 65 20 53 6f 6c 75 74 69 6f 6e 20 77 69 6e 64 6f |e Solution windo| 000012a0 77 2e 0a 0a 4b 65 79 73 20 3a 20 49 66 20 79 6f |w...Keys : If yo| 000012b0 75 20 66 69 6e 64 20 75 73 69 6e 67 20 74 68 65 |u find using the| 000012c0 20 6d 6f 75 73 65 20 73 6c 6f 77 2c 20 70 72 65 | mouse slow, pre| 000012d0 73 73 20 31 2d 36 20 74 6f 20 65 6e 74 65 72 20 |ss 1-6 to enter | 000012e0 74 68 65 20 63 6f 6c 6f 75 72 0a 7e 7e 7e 7e 20 |the colour.~~~~ | 000012f0 20 20 73 65 71 75 65 6e 63 65 2c 20 45 6e 74 65 | sequence, Ente| 00001300 72 2f 52 65 74 75 72 6e 20 74 6f 20 72 65 70 6c |r/Return to repl| 00001310 61 63 65 20 4f 4b 2c 20 61 6e 64 20 44 65 6c 65 |ace OK, and Dele| 00001320 74 65 20 74 6f 20 52 65 6d 6f 76 65 20 53 71 75 |te to Remove Squ| 00001330 61 72 65 73 2e 0a 0a 49 6e 74 65 72 70 72 65 74 |ares...Interpret| 00001340 69 6e 67 20 74 68 65 20 73 6f 6c 75 74 69 6f 6e |ing the solution| 00001350 0a 7e 7e 7e 7e 7e 7e 7e 7e 7e 7e 7e 7e 7e 7e 7e |.~~~~~~~~~~~~~~~| 00001360 7e 7e 7e 7e 7e 7e 7e 7e 7e 7e 0a 54 68 69 73 20 |~~~~~~~~~~.This | 00001370 69 73 20 74 68 65 20 6d 6f 73 74 20 64 69 66 66 |is the most diff| 00001380 69 63 75 6c 74 20 70 61 72 74 20 6f 66 20 61 6c |icult part of al| 00001390 6c 2e 20 57 68 69 6c 65 20 72 65 61 64 69 6e 67 |l. While reading| 000013a0 20 74 68 69 73 2c 20 79 6f 75 20 61 72 65 20 61 | this, you are a| 000013b0 64 76 69 73 65 64 0a 74 6f 20 68 61 76 65 20 69 |dvised.to have i| 000013c0 6e 20 76 69 65 77 20 74 68 65 20 44 72 61 77 20 |n view the Draw | 000013d0 66 69 6c 65 20 27 43 75 62 65 73 27 20 66 72 6f |file 'Cubes' fro| 000013e0 6d 20 74 68 65 20 73 61 6d 65 20 64 69 72 65 63 |m the same direc| 000013f0 74 6f 72 79 20 61 73 20 74 68 69 73 20 66 69 6c |tory as this fil| 00001400 65 2e 0a 0a 54 68 65 20 73 6f 6c 75 74 69 6f 6e |e...The solution| 00001410 20 63 6f 6e 73 69 73 74 73 20 6f 66 20 61 20 73 | consists of a s| 00001420 74 72 69 6e 67 20 6f 66 20 6c 65 74 74 65 72 73 |tring of letters| 00001430 20 65 61 63 68 20 66 6f 6c 6c 6f 77 65 64 20 62 | each followed b| 00001440 79 20 61 20 73 79 6d 62 6f 6c 0a 28 2b 20 2d 20 |y a symbol.(+ - | 00001450 6f 72 20 32 29 2e 20 45 61 63 68 20 6c 65 74 74 |or 2). Each lett| 00001460 65 72 2d 73 79 6d 62 6f 6c 20 70 61 69 72 20 72 |er-symbol pair r| 00001470 65 70 72 65 73 65 6e 74 73 20 61 20 73 69 6e 67 |epresents a sing| 00001480 6c 65 20 74 75 72 6e 20 6f 66 20 61 20 66 61 63 |le turn of a fac| 00001490 65 2e 0a 54 68 65 20 6c 65 74 74 65 72 20 72 65 |e..The letter re| 000014a0 70 72 65 73 65 6e 74 73 20 61 20 66 61 63 65 2c |presents a face,| 000014b0 20 61 73 20 66 6f 6c 6c 6f 77 73 3a 0a 0a 20 20 | as follows:.. | 000014c0 20 20 20 4c 20 3a 20 6c 65 66 74 20 66 61 63 65 | L : left face| 000014d0 20 20 20 20 20 20 20 20 5c 20 20 20 20 54 68 65 | \ The| 000014e0 73 65 20 74 68 72 65 65 20 66 61 63 65 73 20 61 |se three faces a| 000014f0 72 65 0a 20 20 20 20 20 54 20 3a 20 74 6f 70 20 |re. T : top | 00001500 66 61 63 65 20 20 20 20 20 20 20 20 20 20 7d 20 |face } | 00001510 20 20 6c 61 62 65 6c 6c 65 64 20 6f 6e 20 74 68 | labelled on th| 00001520 65 20 63 75 62 65 0a 20 20 20 20 20 46 20 3a 20 |e cube. F : | 00001530 66 72 6f 6e 74 20 66 61 63 65 20 20 20 20 20 20 |front face | 00001540 20 2f 20 20 20 20 69 6e 20 74 68 65 20 73 6f 6c | / in the sol| 00001550 75 74 69 6f 6e 20 77 69 6e 64 6f 77 2e 0a 20 20 |ution window.. | 00001560 20 20 20 52 20 3a 20 72 69 67 68 74 20 66 61 63 | R : right fac| 00001570 65 0a 20 20 20 20 20 42 20 3a 20 62 6f 74 74 6f |e. B : botto| 00001580 6d 20 66 61 63 65 0a 20 20 20 20 20 50 20 3a 20 |m face. P : | 00001590 70 6f 73 74 65 72 69 6f 72 20 28 62 61 63 6b 29 |posterior (back)| 000015a0 20 66 61 63 65 0a 0a 54 68 65 20 74 68 72 65 65 | face..The three| 000015b0 20 73 79 6d 62 6f 6c 73 20 72 65 70 72 65 73 65 | symbols represe| 000015c0 6e 74 3a 0a 0a 20 20 20 20 20 2b 20 3a 20 39 30 |nt:.. + : 90| 000015d0 20 64 65 67 72 65 65 73 20 28 6f 6e 65 20 71 75 | degrees (one qu| 000015e0 61 72 74 65 72 20 74 75 72 6e 29 20 63 6c 6f 63 |arter turn) cloc| 000015f0 6b 77 69 73 65 20 72 6f 74 61 74 69 6f 6e 2e 20 |kwise rotation. | 00001600 0a 20 20 20 20 20 20 20 20 20 46 61 63 65 73 20 |. Faces | 00001610 61 72 65 20 72 6f 74 61 74 65 64 20 63 6c 6f 63 |are rotated cloc| 00001620 6b 77 69 73 65 20 61 73 20 69 66 20 74 68 65 20 |kwise as if the | 00001630 66 61 63 65 20 69 6e 20 71 75 65 73 74 69 6f 6e |face in question| 00001640 0a 20 20 20 20 20 20 20 20 20 69 73 20 66 61 63 |. is fac| 00001650 69 6e 67 20 79 6f 75 2e 0a 20 20 20 20 20 20 20 |ing you.. | 00001660 20 20 54 68 65 20 73 69 78 20 63 6c 6f 63 6b 77 | The six clockw| 00001670 69 73 65 20 74 75 72 6e 73 20 61 72 65 20 69 6c |ise turns are il| 00001680 6c 75 73 74 72 61 74 65 64 20 69 6e 20 74 68 65 |lustrated in the| 00001690 20 64 72 61 77 20 66 69 6c 65 20 27 43 75 62 65 | draw file 'Cube| 000016a0 73 27 2e 0a 20 20 20 20 20 20 20 20 20 54 61 6b |s'.. Tak| 000016b0 65 20 63 61 72 65 66 75 6c 20 6e 6f 74 69 63 65 |e careful notice| 000016c0 20 6e 6f 77 2c 20 61 6e 64 20 77 68 65 6e 65 76 | now, and whenev| 000016d0 65 72 20 79 6f 75 20 75 73 65 20 21 52 75 62 69 |er you use !Rubi| 000016e0 78 2c 20 77 68 69 63 68 20 77 61 79 0a 20 20 20 |x, which way. | 000016f0 20 20 20 20 20 20 63 6c 6f 63 6b 77 69 73 65 20 | clockwise | 00001700 69 73 20 66 6f 72 20 65 61 63 68 20 66 61 63 65 |is for each face| 00001710 20 2d 20 74 68 69 73 20 69 73 20 6e 6f 74 20 61 | - this is not a| 00001720 73 20 73 69 6d 70 6c 65 20 61 73 20 69 74 20 73 |s simple as it s| 00001730 6f 75 6e 64 73 2e 0a 20 20 20 20 20 20 20 20 20 |ounds.. | 00001740 49 20 66 69 6e 64 20 74 75 72 6e 69 6e 67 20 74 |I find turning t| 00001750 68 65 20 50 20 66 61 63 65 20 70 61 72 74 69 63 |he P face partic| 00001760 75 6c 61 72 6c 79 20 63 6f 6e 66 75 73 69 6e 67 |ularly confusing| 00001770 2c 20 61 73 20 69 74 20 63 61 6e 6e 6f 74 20 62 |, as it cannot b| 00001780 65 0a 20 20 20 20 20 20 20 20 20 73 65 65 6e 20 |e. seen | 00001790 61 6e 64 20 66 65 65 6c 73 20 61 73 20 69 66 20 |and feels as if | 000017a0 69 74 20 73 68 6f 75 6c 64 20 62 65 20 74 68 65 |it should be the| 000017b0 20 6f 74 68 65 72 20 77 61 79 2e 20 52 65 6d 65 | other way. Reme| 000017c0 6d 62 65 72 20 2d 0a 20 20 20 20 20 20 20 20 20 |mber -. | 000017d0 6f 6e 65 20 77 72 6f 6e 67 20 74 75 72 6e 20 77 |one wrong turn w| 000017e0 69 6c 6c 20 63 61 75 73 65 20 74 68 65 20 65 6e |ill cause the en| 000017f0 74 69 72 65 20 73 65 71 75 65 6e 63 65 20 74 6f |tire sequence to| 00001800 20 66 61 69 6c 2c 20 61 6e 64 20 79 6f 75 0a 20 | fail, and you. | 00001810 20 20 20 20 20 20 20 20 77 69 6c 6c 20 68 61 76 | will hav| 00001820 65 20 74 6f 20 73 74 61 72 74 20 61 6c 6c 20 6f |e to start all o| 00001830 76 65 72 20 61 67 61 69 6e 2e 0a 0a 20 20 20 20 |ver again... | 00001840 20 2d 20 3a 20 39 30 20 64 65 67 72 65 65 73 20 | - : 90 degrees | 00001850 28 6f 6e 65 20 71 75 61 72 74 65 72 20 74 75 72 |(one quarter tur| 00001860 6e 29 20 61 6e 74 69 63 6c 6f 63 6b 77 69 73 65 |n) anticlockwise| 00001870 20 72 6f 74 61 74 69 6f 6e 2e 0a 20 20 20 20 20 | rotation.. | 00001880 20 20 20 20 54 68 69 73 20 69 73 20 73 69 6d 70 | This is simp| 00001890 6c 79 20 61 20 74 75 72 6e 20 69 6e 20 74 68 65 |ly a turn in the| 000018a0 20 6f 70 70 6f 73 69 74 65 20 64 69 72 65 63 74 | opposite direct| 000018b0 69 6f 6e 20 74 6f 20 74 68 61 74 20 66 6f 72 0a |ion to that for.| 000018c0 20 20 20 20 20 20 20 20 20 61 20 63 6c 6f 63 6b | a clock| 000018d0 77 69 73 65 20 72 6f 74 61 74 69 6f 6e 2e 20 54 |wise rotation. T| 000018e0 68 65 73 65 20 61 72 65 20 6e 6f 74 20 69 6c 6c |hese are not ill| 000018f0 75 73 74 72 61 74 65 64 2c 20 62 75 74 20 61 72 |ustrated, but ar| 00001900 65 20 65 61 73 79 0a 20 20 20 20 20 20 20 20 20 |e easy. | 00001910 74 6f 20 77 6f 72 6b 20 6f 75 74 20 66 72 6f 6d |to work out from| 00001920 20 74 68 65 20 63 6c 6f 63 6b 77 69 73 65 20 72 | the clockwise r| 00001930 6f 74 61 74 69 6f 6e 73 2e 0a 0a 20 20 20 20 20 |otations... | 00001940 32 20 3a 20 31 38 30 20 64 65 67 72 65 65 73 20 |2 : 180 degrees | 00001950 28 6f 6e 65 20 68 61 6c 66 20 74 75 72 6e 29 20 |(one half turn) | 00001960 72 6f 74 61 74 69 6f 6e 2e 0a 20 20 20 20 20 20 |rotation.. | 00001970 20 20 20 4f 66 20 63 6f 75 72 73 65 2c 20 69 74 | Of course, it| 00001980 20 64 6f 65 73 20 6e 6f 74 20 6d 61 74 74 65 72 | does not matter| 00001990 20 77 68 69 63 68 20 77 61 79 20 79 6f 75 20 74 | which way you t| 000019a0 75 72 6e 20 74 68 65 20 66 61 63 65 0a 20 20 20 |urn the face. | 000019b0 20 20 20 20 20 20 66 6f 72 20 74 68 69 73 20 74 | for this t| 000019c0 75 72 6e 2c 20 6d 61 6b 69 6e 67 20 74 68 69 73 |urn, making this| 000019d0 20 74 68 65 20 65 61 73 69 65 73 74 20 72 6f 74 | the easiest rot| 000019e0 61 74 69 6f 6e 2e 0a 0a 65 2e 67 2e 20 4c 2b 52 |ation...e.g. L+R| 000019f0 2d 46 2b 42 32 3a 20 74 75 72 6e 20 6c 65 66 74 |-F+B2: turn left| 00001a00 20 66 61 63 65 20 39 30 20 64 65 67 72 65 65 73 | face 90 degrees| 00001a10 20 63 6c 6f 63 6b 77 69 73 65 0a 20 20 20 20 20 | clockwise. | 00001a20 20 20 20 20 20 20 20 20 20 20 74 75 72 6e 20 72 | turn r| 00001a30 69 67 68 74 20 66 61 63 65 20 39 30 20 64 65 67 |ight face 90 deg| 00001a40 72 65 65 73 20 61 6e 74 69 63 6c 6f 63 6b 77 69 |rees anticlockwi| 00001a50 73 65 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 |se. | 00001a60 20 20 74 75 72 6e 20 66 72 6f 6e 74 20 66 61 63 | turn front fac| 00001a70 65 20 39 30 20 64 65 67 72 65 65 73 20 63 6c 6f |e 90 degrees clo| 00001a80 63 6b 77 69 73 65 0a 20 20 20 20 20 20 20 20 20 |ckwise. | 00001a90 20 20 20 20 20 20 74 75 72 6e 20 62 6f 74 74 6f | turn botto| 00001aa0 6d 20 66 61 63 65 20 31 38 30 20 64 65 67 72 65 |m face 180 degre| 00001ab0 65 73 2e 0a 0a 4e 2e 42 2e 20 20 44 6f 6e 27 74 |es...N.B. Don't| 00001ac0 20 63 6f 6e 66 75 73 65 20 42 20 28 62 6f 74 74 | confuse B (bott| 00001ad0 6f 6d 29 20 61 6e 64 20 50 20 28 70 6f 73 74 65 |om) and P (poste| 00001ae0 72 69 6f 72 29 20 2d 20 42 20 69 73 20 6e 6f 74 |rior) - B is not| 00001af0 20 74 68 65 20 62 61 63 6b 21 0a 20 20 20 20 20 | the back!. | 00001b00 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 | | * 00001b30 20 20 20 7e 7e 7e 0a 0a 54 68 65 20 6e 6f 74 61 | ~~~..The nota| 00001b40 74 69 6f 6e 20 64 65 73 63 72 69 62 65 64 20 61 |tion described a| 00001b50 62 6f 76 65 20 77 61 73 20 64 65 73 69 67 6e 65 |bove was designe| 00001b60 64 20 62 79 20 4a 61 6d 65 73 20 47 2e 20 4e 6f |d by James G. No| 00001b70 75 72 73 65 2c 20 61 75 74 68 6f 72 20 6f 66 0a |urse, author of.| 00001b80 27 54 68 65 20 53 69 6d 70 6c 65 20 53 6f 6c 75 |'The Simple Solu| 00001b90 74 69 6f 6e 20 74 6f 20 52 75 62 69 6b 27 73 20 |tion to Rubik's | 00001ba0 43 75 62 65 27 2e 20 59 6f 75 20 6d 61 79 20 62 |Cube'. You may b| 00001bb0 65 20 66 61 6d 69 6c 69 61 72 20 77 69 74 68 20 |e familiar with | 00001bc0 74 68 65 0a 61 6c 74 65 72 6e 61 74 69 76 65 20 |the.alternative | 00001bd0 6e 6f 74 61 74 69 6f 6e 20 64 65 73 69 67 6e 65 |notation designe| 00001be0 64 20 62 79 20 44 61 76 69 64 20 53 69 6e 67 6d |d by David Singm| 00001bf0 61 73 74 65 72 2c 20 61 6e 64 20 75 73 65 64 20 |aster, and used | 00001c00 66 72 65 71 75 65 6e 74 6c 79 20 69 6e 0a 53 63 |frequently in.Sc| 00001c10 69 65 6e 74 69 66 69 63 20 41 6d 65 72 69 63 61 |ientific America| 00001c20 6e 20 6d 61 67 61 7a 69 6e 65 2e 20 49 66 20 73 |n magazine. If s| 00001c30 6f 2c 20 73 65 6c 65 63 74 20 53 69 6e 67 6d 61 |o, select Singma| 00001c40 73 74 65 72 20 66 72 6f 6d 20 74 68 65 20 4e 6f |ster from the No| 00001c50 74 61 74 69 6f 6e 0a 73 75 62 6d 65 6e 75 2c 20 |tation.submenu, | 00001c60 77 68 69 63 68 20 79 6f 75 20 63 61 6e 20 67 65 |which you can ge| 00001c70 74 20 66 72 6f 6d 20 74 68 65 20 69 63 6f 6e 20 |t from the icon | 00001c80 62 61 72 20 6f 72 20 74 68 65 20 77 69 6e 64 6f |bar or the windo| 00001c90 77 2e 20 49 74 20 69 73 20 70 65 72 68 61 70 73 |w. It is perhaps| 00001ca0 0a 6d 6f 72 65 20 63 6f 6d 6d 6f 6e 2c 20 62 75 |.more common, bu| 00001cb0 74 20 69 6e 20 6d 79 20 6f 70 69 6e 69 6f 6e 20 |t in my opinion | 00001cc0 6e 6f 74 20 61 73 20 70 6c 61 69 6e 2e 20 54 72 |not as plain. Tr| 00001cd0 79 20 69 74 20 61 6e 64 20 73 65 65 21 0a 0a 41 |y it and see!..A| 00001ce0 73 20 61 62 6f 76 65 2c 20 65 78 63 65 70 74 3a |s above, except:| 00001cf0 20 20 20 55 20 3d 20 74 6f 70 20 28 75 70 29 20 | U = top (up) | 00001d00 66 61 63 65 0a 20 20 20 20 20 20 20 20 20 20 20 |face. | 00001d10 20 20 20 20 20 20 20 20 20 44 20 3d 20 62 6f 74 | D = bot| 00001d20 74 6f 6d 20 28 64 6f 77 6e 29 20 66 61 63 65 0a |tom (down) face.| 00001d30 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 | | 00001d40 20 20 20 20 42 20 3d 20 70 6f 73 74 65 72 69 6f | B = posterio| 00001d50 72 20 28 62 61 63 6b 29 20 66 61 63 65 0a 0a 20 |r (back) face.. | 00001d60 20 20 20 20 20 20 73 75 70 65 72 73 63 72 69 70 | superscrip| 00001d70 74 20 20 32 20 3d 20 68 61 6c 66 20 74 75 72 6e |t 2 = half turn| 00001d80 0a 20 20 20 20 20 20 20 73 75 70 65 72 73 63 72 |. superscr| 00001d90 69 70 74 20 2d 31 20 3d 20 61 6e 74 69 63 6c 6f |ipt -1 = anticlo| 00001da0 63 6b 77 69 73 65 20 71 75 61 72 74 65 72 20 74 |ckwise quarter t| 00001db0 75 72 6e 0a 0a 41 20 6c 65 74 74 65 72 20 6f 6e |urn..A letter on| 00001dc0 20 69 74 73 20 6f 77 6e 20 28 77 69 74 68 20 6e | its own (with n| 00001dd0 6f 20 73 79 6d 62 6f 6c 29 20 72 65 70 72 65 73 |o symbol) repres| 00001de0 65 6e 74 73 20 61 20 63 6c 6f 63 6b 77 69 73 65 |ents a clockwise| 00001df0 20 71 75 61 72 74 65 72 20 74 75 72 6e 2e 0a 0a | quarter turn...| 00001e00 41 6c 74 65 72 69 6e 67 20 74 68 65 20 70 61 6c |Altering the pal| 00001e10 65 74 74 65 0a 7e 7e 7e 7e 7e 7e 7e 7e 7e 7e 7e |ette.~~~~~~~~~~~| 00001e20 7e 7e 7e 7e 7e 7e 7e 7e 7e 0a 54 68 65 20 73 69 |~~~~~~~~~.The si| 00001e30 78 20 63 6f 6c 6f 75 72 73 20 6f 6e 20 74 68 65 |x colours on the| 00001e40 20 66 61 63 65 73 20 6f 66 20 61 20 52 75 62 69 | faces of a Rubi| 00001e50 6b 27 73 20 43 75 62 65 20 61 72 65 20 75 73 75 |k's Cube are usu| 00001e60 61 6c 6c 79 3a 20 72 65 64 2c 20 67 72 65 65 6e |ally: red, green| 00001e70 2c 0a 79 65 6c 6c 6f 77 2c 20 62 6c 75 65 2c 20 |,.yellow, blue, | 00001e80 77 68 69 74 65 20 61 6e 64 20 6f 72 61 6e 67 65 |white and orange| 00001e90 2e 20 54 68 65 73 65 20 61 72 65 20 74 68 65 20 |. These are the | 00001ea0 64 65 66 61 75 6c 74 20 76 61 6c 75 65 73 20 69 |default values i| 00001eb0 6e 20 21 52 75 62 69 78 2c 0a 62 75 74 20 73 65 |n !Rubix,.but se| 00001ec0 6c 65 63 74 69 6e 67 20 50 61 6c 65 74 74 65 20 |lecting Palette | 00001ed0 89 20 46 72 6f 6d 20 46 69 6c 65 2c 20 61 6c 6c |. From File, all| 00001ee0 6f 77 73 20 74 68 65 20 73 69 78 20 63 6f 6c 6f |ows the six colo| 00001ef0 75 72 73 20 74 6f 20 62 65 20 64 65 66 69 6e 65 |urs to be define| 00001f00 64 20 62 79 0a 63 6f 6c 6f 75 72 73 20 31 2d 36 |d by.colours 1-6| 00001f10 20 69 6e 20 74 68 65 20 21 50 61 6c 65 74 74 65 | in the !Palette| 00001f20 20 66 69 6c 65 20 66 72 6f 6d 20 74 68 65 20 73 | file from the s| 00001f30 61 6d 65 20 64 69 72 65 63 74 6f 72 79 20 61 73 |ame directory as| 00001f40 20 74 68 69 73 20 66 69 6c 65 2e 0a 4c 6f 61 64 | this file..Load| 00001f50 20 21 50 61 6c 65 74 74 65 2c 20 63 68 61 6e 67 | !Palette, chang| 00001f60 65 20 63 6f 6c 6f 75 72 73 20 31 2d 36 20 74 6f |e colours 1-6 to| 00001f70 20 6d 61 74 63 68 20 74 68 6f 73 65 20 6f 6e 20 | match those on | 00001f80 79 6f 75 72 20 63 75 62 65 2c 20 61 6e 64 20 72 |your cube, and r| 00001f90 65 73 61 76 65 0a 69 74 20 77 69 74 68 20 74 68 |esave.it with th| 00001fa0 65 20 73 61 6d 65 20 6e 61 6d 65 20 74 6f 20 75 |e same name to u| 00001fb0 73 65 20 21 52 75 62 69 78 20 77 69 74 68 20 64 |se !Rubix with d| 00001fc0 69 66 66 65 72 65 6e 74 20 63 6f 6c 6f 75 72 73 |ifferent colours| 00001fd0 2e 0a 0a 54 68 65 20 62 6f 6f 6b 0a 7e 7e 7e 7e |...The book.~~~~| 00001fe0 7e 7e 7e 7e 0a 27 54 68 65 20 53 69 6d 70 6c 65 |~~~~.'The Simple| 00001ff0 20 53 6f 6c 75 74 69 6f 6e 20 74 6f 20 52 75 62 | Solution to Rub| 00002000 69 6b 27 73 20 43 75 62 65 27 20 63 6f 6e 74 61 |ik's Cube' conta| 00002010 69 6e 73 20 61 20 63 6f 6d 70 6c 65 74 65 2c 20 |ins a complete, | 00002020 65 61 73 79 2d 74 6f 2d 6d 65 6d 6f 72 69 73 65 |easy-to-memorise| 00002030 0a 73 6f 6c 75 74 69 6f 6e 20 66 6f 72 20 61 6e |.solution for an| 00002040 79 20 61 72 72 61 6e 67 65 6d 65 6e 74 20 6f 66 |y arrangement of| 00002050 20 74 68 65 20 52 75 62 69 6b 27 73 20 43 75 62 | the Rubik's Cub| 00002060 65 2e 20 49 74 20 61 6c 73 6f 20 63 6f 6e 74 61 |e. It also conta| 00002070 69 6e 73 20 6d 6f 72 65 0a 69 6e 66 6f 72 6d 61 |ins more.informa| 00002080 74 69 6f 6e 20 6f 6e 20 74 68 65 20 63 75 62 65 |tion on the cube| 00002090 2c 20 70 6c 75 73 20 73 65 63 74 69 6f 6e 73 20 |, plus sections | 000020a0 6f 6e 20 73 70 65 65 64 20 63 75 62 69 6e 67 2c |on speed cubing,| 000020b0 20 68 69 6e 74 73 2c 20 73 68 6f 72 74 2d 63 75 | hints, short-cu| 000020c0 74 73 2c 0a 61 6e 64 20 76 61 72 69 6f 75 73 20 |ts,.and various | 000020d0 63 75 62 65 20 67 61 6d 65 73 20 69 6e 63 6c 75 |cube games inclu| 000020e0 64 69 6e 67 20 63 75 62 65 20 61 6c 70 68 61 62 |ding cube alphab| 000020f0 65 74 2e 0a 0a 4d 65 21 21 21 0a 7e 7e 7e 7e 7e |et...Me!!!.~~~~~| 00002100 0a 4e 61 6d 65 3a 20 20 20 20 52 6f 62 65 72 74 |.Name: Robert| 00002110 20 57 61 74 65 72 73 0a 41 64 64 72 65 73 73 3a | Waters.Address:| 00002120 20 33 30 20 4c 69 74 74 6c 65 20 4c 6f 6e 64 6f | 30 Little Londo| 00002130 6e 2c 0a 20 20 20 20 20 20 20 20 20 20 4c 6f 6e |n,. Lon| 00002140 67 20 53 75 74 74 6f 6e 2c 0a 20 20 20 20 20 20 |g Sutton,. | 00002150 20 20 20 20 20 53 70 61 6c 64 69 6e 67 2c 0a 20 | Spalding,. | 00002160 20 20 20 20 20 20 20 20 20 20 20 4c 69 6e 63 73 | Lincs| 00002170 2e 0a 20 20 20 20 20 20 20 20 20 20 20 20 50 45 |.. PE| 00002180 31 32 20 39 4c 45 0a 0a 48 69 73 74 6f 72 79 20 |12 9LE..History | 00002190 6f 66 20 21 52 75 62 69 78 0a 7e 7e 7e 7e 7e 7e |of !Rubix.~~~~~~| 000021a0 7e 7e 7e 7e 7e 7e 7e 7e 7e 7e 7e 0a 63 2e 4a 75 |~~~~~~~~~~~.c.Ju| 000021b0 6c 20 39 34 20 3a 20 57 72 69 74 69 6e 67 20 6f |l 94 : Writing o| 000021c0 66 20 21 52 75 62 69 78 20 73 74 61 72 74 65 64 |f !Rubix started| 000021d0 2e 0a 63 2e 4e 6f 76 20 39 35 20 3a 20 56 65 72 |..c.Nov 95 : Ver| 000021e0 73 69 6f 6e 20 30 2e 30 30 20 77 6f 72 6b 65 64 |sion 0.00 worked| 000021f0 20 62 75 74 20 77 61 73 20 6e 6f 74 20 6d 75 6c | but was not mul| 00002200 74 69 2d 74 61 73 6b 69 6e 67 2e 0a 30 39 2f 30 |ti-tasking..09/0| 00002210 37 2f 39 35 20 3a 20 56 65 72 73 69 6f 6e 20 31 |7/95 : Version 1| 00002220 2e 30 30 20 63 6f 6d 70 6c 65 74 65 64 20 77 69 |.00 completed wi| 00002230 74 68 20 57 69 6d 70 20 53 68 65 6c 6c 20 62 75 |th Wimp Shell bu| 00002240 69 6c 74 20 61 72 6f 75 6e 64 2e 0a 32 30 2f 30 |ilt around..20/0| 00002250 38 2f 39 35 20 3a 20 56 65 72 73 69 6f 6e 20 31 |8/95 : Version 1| 00002260 2e 31 30 20 2d 20 6d 6f 73 74 20 62 75 67 73 20 |.10 - most bugs | 00002270 72 65 6d 6f 76 65 64 3b 20 70 61 6c 65 74 74 65 |removed; palette| 00002280 20 70 72 6f 62 6c 65 6d 73 20 66 69 78 65 64 20 | problems fixed | 00002290 62 79 20 75 73 69 6e 67 0a 20 20 20 20 20 20 20 |by using. | 000022a0 20 20 20 20 43 6f 6c 6f 75 72 54 72 61 6e 73 3b | ColourTrans;| 000022b0 20 6b 65 79 62 6f 61 72 64 20 63 6f 6e 74 72 6f | keyboard contro| 000022c0 6c 20 61 6e 64 20 63 75 73 74 6f 6d 69 73 61 62 |l and customisab| 000022d0 6c 65 20 70 61 6c 65 74 74 65 20 61 64 64 65 64 |le palette added| 000022e0 2e 0a 0a 41 6c 73 6f 20 62 79 20 6d 65 0a 7e 7e |...Also by me.~~| 000022f0 7e 7e 7e 7e 7e 7e 7e 7e 0a 21 4c 6f 74 74 65 72 |~~~~~~~~.!Lotter| 00002300 79 20 2d 20 70 72 6f 76 69 64 65 73 20 72 61 70 |y - provides rap| 00002310 69 64 20 63 68 65 63 6b 69 6e 67 20 66 6f 72 20 |id checking for | 00002320 6c 6f 74 74 65 72 79 20 74 69 63 6b 65 74 73 20 |lottery tickets | 00002330 61 73 20 74 68 65 20 64 72 61 77 20 68 61 70 70 |as the draw happ| 00002340 65 6e 73 2e 0a 20 20 20 20 20 20 20 20 20 20 20 |ens.. | 00002350 46 75 6c 6c 79 20 6d 75 6c 74 69 2d 74 61 73 6b |Fully multi-task| 00002360 69 6e 67 2e 0a |ing..| 00002365
.