Home » CEEFAX disks » telesoftware16.adl » 08-07-89/TMandel
08-07-89/TMandel
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 » CEEFAX disks » telesoftware16.adl |
| Filename: | 08-07-89/TMandel |
| Read OK: | ✔ |
| File size: | 04D4 bytes |
| Load address: | 0000 |
| Exec address: | FFFFFFFF |
File contents
Mandel1 and 2.
==============
This program will let you explore the endless wonders of the Mandelbrot
set. The Mandelbrot set has been referred to as the most complicated
mathematical object ever discovered and gives rise to fractal pictures
whose complexity is preserved at whatever magnification they are viewed.
There are two versions available. Mandel1 is the source code listing
in Acornsoft ISO-Pascal and will work on a normal BBC micro if fitted with
the GXR ROM. Mandel2 is written in Basic and should be compatible with
all Acorn machines.
Both programs are easy to use and will require some initial parameters to
get going : The X and Y coordinates of the lower left hand corner of the
square to be mapped, and the length of the side of the square (effectively
the magnification). Some interesting areas to explore are ;
X Y S
2 -1.25 2.5
0.3519 0.42165 0.0005
0.295 -0.02 0.005
-0.73753 0.27141 0.1
-0.749925 0.020203 0.000025
Unless you have an Archimedes, expect run times of up to two hours before
reaching maximum resolution.
00000000 0d 0d 4d 61 6e 64 65 6c 31 20 61 6e 64 20 32 2e |..Mandel1 and 2.| 00000010 0d 3d 3d 3d 3d 3d 3d 3d 3d 3d 3d 3d 3d 3d 3d 0d |.==============.| 00000020 0d 20 54 68 69 73 20 70 72 6f 67 72 61 6d 20 77 |. This program w| 00000030 69 6c 6c 20 6c 65 74 20 79 6f 75 20 65 78 70 6c |ill let you expl| 00000040 6f 72 65 20 74 68 65 20 65 6e 64 6c 65 73 73 20 |ore the endless | 00000050 77 6f 6e 64 65 72 73 20 6f 66 20 74 68 65 20 4d |wonders of the M| 00000060 61 6e 64 65 6c 62 72 6f 74 0d 73 65 74 2e 20 20 |andelbrot.set. | 00000070 54 68 65 20 4d 61 6e 64 65 6c 62 72 6f 74 20 73 |The Mandelbrot s| 00000080 65 74 20 68 61 73 20 62 65 65 6e 20 72 65 66 65 |et has been refe| 00000090 72 72 65 64 20 74 6f 20 61 73 20 74 68 65 20 6d |rred to as the m| 000000a0 6f 73 74 20 63 6f 6d 70 6c 69 63 61 74 65 64 0d |ost complicated.| 000000b0 6d 61 74 68 65 6d 61 74 69 63 61 6c 20 6f 62 6a |mathematical obj| 000000c0 65 63 74 20 65 76 65 72 20 64 69 73 63 6f 76 65 |ect ever discove| 000000d0 72 65 64 20 61 6e 64 20 67 69 76 65 73 20 72 69 |red and gives ri| 000000e0 73 65 20 74 6f 20 66 72 61 63 74 61 6c 20 70 69 |se to fractal pi| 000000f0 63 74 75 72 65 73 0d 77 68 6f 73 65 20 63 6f 6d |ctures.whose com| 00000100 70 6c 65 78 69 74 79 20 69 73 20 70 72 65 73 65 |plexity is prese| 00000110 72 76 65 64 20 61 74 20 77 68 61 74 65 76 65 72 |rved at whatever| 00000120 20 6d 61 67 6e 69 66 69 63 61 74 69 6f 6e 20 74 | magnification t| 00000130 68 65 79 20 61 72 65 20 76 69 65 77 65 64 2e 0d |hey are viewed..| 00000140 0d 20 54 68 65 72 65 20 61 72 65 20 74 77 6f 20 |. There are two | 00000150 76 65 72 73 69 6f 6e 73 20 61 76 61 69 6c 61 62 |versions availab| 00000160 6c 65 2e 20 20 4d 61 6e 64 65 6c 31 20 69 73 20 |le. Mandel1 is | 00000170 74 68 65 20 73 6f 75 72 63 65 20 63 6f 64 65 20 |the source code | 00000180 6c 69 73 74 69 6e 67 0d 69 6e 20 41 63 6f 72 6e |listing.in Acorn| 00000190 73 6f 66 74 20 49 53 4f 2d 50 61 73 63 61 6c 20 |soft ISO-Pascal | 000001a0 61 6e 64 20 77 69 6c 6c 20 77 6f 72 6b 20 6f 6e |and will work on| 000001b0 20 61 20 6e 6f 72 6d 61 6c 20 42 42 43 20 6d 69 | a normal BBC mi| 000001c0 63 72 6f 20 69 66 20 66 69 74 74 65 64 20 77 69 |cro if fitted wi| 000001d0 74 68 0d 74 68 65 20 47 58 52 20 52 4f 4d 2e 20 |th.the GXR ROM. | 000001e0 20 4d 61 6e 64 65 6c 32 20 69 73 20 77 72 69 74 | Mandel2 is writ| 000001f0 74 65 6e 20 69 6e 20 42 61 73 69 63 20 61 6e 64 |ten in Basic and| 00000200 20 73 68 6f 75 6c 64 20 62 65 20 63 6f 6d 70 61 | should be compa| 00000210 74 69 62 6c 65 20 77 69 74 68 0d 61 6c 6c 20 41 |tible with.all A| 00000220 63 6f 72 6e 20 6d 61 63 68 69 6e 65 73 2e 0d 0d |corn machines...| 00000230 20 42 6f 74 68 20 70 72 6f 67 72 61 6d 73 20 61 | Both programs a| 00000240 72 65 20 65 61 73 79 20 74 6f 20 75 73 65 20 61 |re easy to use a| 00000250 6e 64 20 77 69 6c 6c 20 72 65 71 75 69 72 65 20 |nd will require | 00000260 73 6f 6d 65 20 69 6e 69 74 69 61 6c 20 70 61 72 |some initial par| 00000270 61 6d 65 74 65 72 73 20 74 6f 0d 67 65 74 20 67 |ameters to.get g| 00000280 6f 69 6e 67 20 3a 20 20 54 68 65 20 58 20 61 6e |oing : The X an| 00000290 64 20 59 20 63 6f 6f 72 64 69 6e 61 74 65 73 20 |d Y coordinates | 000002a0 6f 66 20 74 68 65 20 6c 6f 77 65 72 20 6c 65 66 |of the lower lef| 000002b0 74 20 68 61 6e 64 20 63 6f 72 6e 65 72 20 6f 66 |t hand corner of| 000002c0 20 74 68 65 0d 73 71 75 61 72 65 20 74 6f 20 62 | the.square to b| 000002d0 65 20 6d 61 70 70 65 64 2c 20 61 6e 64 20 74 68 |e mapped, and th| 000002e0 65 20 6c 65 6e 67 74 68 20 6f 66 20 74 68 65 20 |e length of the | 000002f0 73 69 64 65 20 6f 66 20 74 68 65 20 73 71 75 61 |side of the squa| 00000300 72 65 20 28 65 66 66 65 63 74 69 76 65 6c 79 0d |re (effectively.| 00000310 74 68 65 20 6d 61 67 6e 69 66 69 63 61 74 69 6f |the magnificatio| 00000320 6e 29 2e 20 20 53 6f 6d 65 20 69 6e 74 65 72 65 |n). Some intere| 00000330 73 74 69 6e 67 20 61 72 65 61 73 20 74 6f 20 65 |sting areas to e| 00000340 78 70 6c 6f 72 65 20 61 72 65 20 3b 0d 0d 20 20 |xplore are ;.. | 00000350 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 | | 00000360 58 20 20 20 20 20 20 20 20 20 20 59 20 20 20 20 |X Y | 00000370 20 20 20 20 20 20 20 53 0d 20 20 20 20 20 20 20 | S. | 00000380 20 20 20 20 20 20 20 20 20 20 20 0d 20 20 20 20 | . | 00000390 20 20 20 20 20 20 20 20 20 20 20 20 20 20 32 20 | 2 | 000003a0 20 20 20 20 20 20 20 2d 31 2e 32 35 20 20 20 20 | -1.25 | 000003b0 20 20 20 20 32 2e 35 0d 20 20 20 20 20 20 20 20 | 2.5. | 000003c0 20 20 20 20 20 20 20 30 2e 33 35 31 39 20 20 20 | 0.3519 | 000003d0 20 20 30 2e 34 32 31 36 35 20 20 20 20 20 30 2e | 0.42165 0.| 000003e0 30 30 30 35 0d 20 20 20 20 20 20 20 20 20 20 20 |0005. | 000003f0 20 20 20 20 20 30 2e 32 39 35 20 20 20 20 20 20 | 0.295 | 00000400 2d 30 2e 30 32 20 20 20 20 20 20 20 30 2e 30 30 |-0.02 0.00| 00000410 35 0d 20 20 20 20 20 20 20 20 20 20 20 20 20 20 |5. | 00000420 2d 30 2e 37 33 37 35 33 20 20 20 20 30 2e 32 37 |-0.73753 0.27| 00000430 31 34 31 20 20 20 20 20 20 20 30 2e 31 0d 20 20 |141 0.1. | 00000440 20 20 20 20 20 20 20 20 20 20 20 20 2d 30 2e 37 | -0.7| 00000450 34 39 39 32 35 20 20 30 2e 30 32 30 32 30 33 20 |49925 0.020203 | 00000460 20 20 20 30 2e 30 30 30 30 32 35 0d 0d 55 6e 6c | 0.000025..Unl| 00000470 65 73 73 20 79 6f 75 20 68 61 76 65 20 61 6e 20 |ess you have an | 00000480 41 72 63 68 69 6d 65 64 65 73 2c 20 65 78 70 65 |Archimedes, expe| 00000490 63 74 20 72 75 6e 20 74 69 6d 65 73 20 6f 66 20 |ct run times of | 000004a0 75 70 20 74 6f 20 74 77 6f 20 68 6f 75 72 73 20 |up to two hours | 000004b0 62 65 66 6f 72 65 0d 72 65 61 63 68 69 6e 67 20 |before.reaching | 000004c0 6d 61 78 69 6d 75 6d 20 72 65 73 6f 6c 75 74 69 |maximum resoluti| 000004d0 6f 6e 2e 0d |on..| 000004d4
08-07-89/TMandel.m0
08-07-89/TMandel.m1
08-07-89/TMandel.m2
08-07-89/TMandel.m4
08-07-89/TMandel.m5
.