/ Archive Magazine CD 1995 / Archive Magazine CD 1995.iso / discs / prog_disc / volume_5 / issue_04 / fractals

< prev

next >

MacOS 8.1

Win98

DOS

browse contents

view JSON data

view as text

+--------+-------------------------+-------------------------+--------+--------+
|00000000| 41 72 63 68 69 76 65 00 | 6c 00 00 00 54 03 00 00 |Archive.|l...T...|
|00000010| 28 00 00 00 64 00 00 00 | 00 00 00 00 00 00 00 00 |(...d...|........|
|00000020| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000030| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000040| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000050| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000060| 82 46 72 61 63 74 61 6c | 49 74 00 00 1c 0f 00 00 |.Fractal|It......|
|00000070| 43 fb ff ff 51 28 de 96 | 03 00 f9 82 1c 0f 00 00 |C...Q(..|........|
|00000080| 24 00 00 00 82 46 72 61 | 63 74 61 6c 49 74 33 00 |$....Fra|ctalIt3.|
|00000090| 7f 0c 00 00 43 fb ff ff | a0 7b e4 99 03 00 28 c0 |....C...|.{....(.|
|000000a0| 7f 0c 00 00 64 0f 00 00 | 00 00 00 00 00 00 00 00 |....d...|........|
|000000b0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000000c0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000000d0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000000e0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000000f0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000100| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000110| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000120| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000130| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000140| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000150| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000160| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000170| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000180| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000190| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000001a0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000001b0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000001c0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000001d0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000001e0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000001f0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000200| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000210| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000220| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000230| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000240| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000250| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000260| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000270| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000280| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000290| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000002a0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000002b0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000002c0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000002d0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000002e0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000002f0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000300| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000310| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000320| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000330| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000340| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000350| 00 00 00 00 46 69 6c 65 | 44 61 74 61 82 46 72 61 |....File|Data.Fra|
|00000360| 63 74 61 6c 49 74 00 00 | 1c 0f 00 00 43 fb ff ff |ctalIt..|....C...|
|00000370| 51 28 de 96 03 00 f9 82 | 0d 00 0a 12 20 f4 20 3e |Q(......|.... . >|
|00000380| 46 72 61 63 74 61 6c 49 | 74 33 0d 00 14 16 20 f4 |FractalI|t3.... .|
|00000390| 20 52 6f 62 65 72 74 20 | 43 68 72 69 73 6d 61 73 | Robert |Chrismas|
|000003a0| 0d 00 1e 0f 20 f4 20 31 | 39 39 31 31 31 31 36 0d |.... . 1|9911116.|
|000003b0| 00 28 06 20 3a 0d 00 32 | 2b 20 eb 20 31 38 20 20 |.(. :..2|+ . 18  |
|000003c0| 3a 20 f4 20 6f 72 20 4d | 4f 44 45 20 30 20 66 6f |: . or M|ODE 0 fo|
|000003d0| 72 20 6e 6f 72 6d 61 6c | 20 4d 6f 6e 69 74 6f 72 |r normal| Monitor|
|000003e0| 0d 00 3c 3a 20 f1 20 22 | 43 6f 6d 70 75 74 69 6e |..<: . "|Computin|
|000003f0| 67 20 46 72 61 63 74 61 | 6c 73 20 66 72 6f 6d 20 |g Fracta|ls from |
|00000400| 49 74 65 72 61 74 65 64 | 20 46 75 6e 63 74 69 6f |Iterated| Functio|
|00000410| 6e 20 73 79 73 74 65 6d | 73 22 0d 00 46 3a 20 f1 |n system|s"..F: .|
|00000420| 20 22 3d 3d 3d 3d 3d 3d | 3d 3d 3d 3d 3d 3d 3d 3d | "======|========|
|00000430| 3d 3d 3d 3d 3d 3d 3d 3d | 3d 3d 3d 3d 3d 3d 3d 3d |========|========|
|00000440| 3d 3d 3d 3d 3d 3d 3d 3d | 3d 3d 3d 3d 3d 3d 3d 3d |========|========|
|00000450| 3d 3d 3d 22 0d 00 50 42 | 20 f1 27 22 46 72 6f 6d |==="..PB| .'"From|
|00000460| 20 61 6e 20 69 64 65 61 | 20 69 6e 20 27 46 72 61 | an idea| in 'Fra|
|00000470| 63 74 61 6c 73 20 45 76 | 65 72 79 77 68 65 72 65 |ctals Ev|erywhere|
|00000480| 27 20 62 79 20 4d 69 63 | 68 61 65 6c 20 42 61 72 |' by Mic|hael Bar|
|00000490| 6e 73 6c 65 79 22 0d 00 | 5a 4c 20 f1 27 22 54 68 |nsley"..|ZL .'"Th|
|000004a0| 69 73 20 70 72 6f 67 72 | 61 6d 20 75 73 65 73 20 |is progr|am uses |
|000004b0| 74 68 65 20 27 52 61 6e | 64 6f 6d 20 49 74 65 72 |the 'Ran|dom Iter|
|000004c0| 61 74 69 6f 6e 20 41 6c | 67 6f 72 69 74 68 6d 20 |ation Al|gorithm |
|000004d0| 64 65 73 63 72 69 62 65 | 64 20 6f 6e 20 70 38 36 |describe|d on p86|
|000004e0| 2e 22 0d 00 64 30 20 f1 | 27 22 54 68 65 20 64 61 |."..d0 .|'"The da|
|000004f0| 74 61 20 6c 69 6e 65 73 | 20 64 65 66 69 6e 65 20 |ta lines| define |
|00000500| 61 20 6e 75 6d 62 65 72 | 20 6f 66 20 73 65 74 73 |a number| of sets|
|00000510| 2e 22 0d 00 6e 06 20 3a | 0d 00 78 0b 20 f2 70 61 |."..n. :|..x. .pa|
|00000520| 75 73 65 0d 00 82 06 20 | db 0d 00 8c 06 20 3a 0d |use.... |..... :.|
|00000530| 00 96 12 20 6d 61 78 5f | 64 69 6d 25 20 3d 20 32 |... max_|dim% = 2|
|00000540| 30 0d 00 a0 36 20 de 20 | 61 28 6d 61 78 5f 64 69 |0...6 . |a(max_di|
|00000550| 6d 25 29 2c 62 28 6d 61 | 78 5f 64 69 6d 25 29 2c |m%),b(ma|x_dim%),|
|00000560| 63 28 6d 61 78 5f 64 69 | 6d 25 29 2c 64 28 6d 61 |c(max_di|m%),d(ma|
|00000570| 78 5f 64 69 6d 25 29 0d | 00 aa 2a 20 de 20 65 28 |x_dim%).|..* . e(|
|00000580| 6d 61 78 5f 64 69 6d 25 | 29 2c 66 28 6d 61 78 5f |max_dim%|),f(max_|
|00000590| 64 69 6d 25 29 2c 70 28 | 6d 61 78 5f 64 69 6d 25 |dim%),p(|max_dim%|
|000005a0| 29 0d 00 b4 06 20 3a 0d | 00 be 22 20 f4 20 53 65 |).... :.|.." . Se|
|000005b0| 6c 65 63 74 20 74 68 65 | 20 72 69 67 68 74 20 64 |lect the| right d|
|000005c0| 61 74 61 20 6c 69 6e 65 | 73 0d 00 c8 0e 20 73 65 |ata line|s.... se|
|000005d0| 74 25 20 3d 20 31 30 0d | 00 d2 06 20 f5 0d 00 dc |t% = 10.|... ....|
|000005e0| 09 20 f3 20 64 24 0d 00 | e6 17 20 fd 20 64 24 20 |. . d$..|.. . d$ |
|000005f0| 3d 20 22 25 22 2b c3 28 | 73 65 74 25 29 0d 00 f0 |= "%"+.(|set%)...|
|00000600| 06 20 3a 0d 00 fa 21 20 | f3 20 64 65 73 63 72 69 |. :...! |. descri|
|00000610| 70 74 69 6f 6e 24 2c 6d | 61 78 5f 65 71 75 61 74 |ption$,m|ax_equat|
|00000620| 69 6f 6e 25 0d 01 04 3a | 20 f3 20 78 66 2c 78 63 |ion%...:| . xf,xc|
|00000630| 2c 79 66 2c 79 63 20 20 | 20 20 20 20 20 20 20 3a |,yf,yc  |       :|
|00000640| 20 f4 20 74 72 61 6e 73 | 66 6f 72 6d 20 74 6f 20 | . trans|form to |
|00000650| 73 63 72 65 65 6e 20 63 | 6f 2d 6f 72 64 73 0d 01 |screen c|o-ords..|
|00000660| 0e 1f 20 e3 20 63 25 20 | 3d 20 30 20 b8 20 6d 61 |.. . c% |= 0 . ma|
|00000670| 78 5f 65 71 75 61 74 69 | 6f 6e 25 2d 31 0d 01 18 |x_equati|on%-1...|
|00000680| 30 20 f3 20 61 28 63 25 | 29 2c 62 28 63 25 29 2c |0 . a(c%|),b(c%),|
|00000690| 63 28 63 25 29 2c 64 28 | 63 25 29 2c 65 28 63 25 |c(c%),d(|c%),e(c%|
|000006a0| 29 2c 66 28 63 25 29 2c | 70 28 63 25 29 0d 01 22 |),f(c%),|p(c%).."|
|000006b0| 21 20 e7 20 63 25 3e 30 | 20 8c 20 70 28 63 25 29 |! . c%>0| . p(c%)|
|000006c0| 3d 70 28 63 25 2d 31 29 | 2b 70 28 63 25 29 0d 01 |=p(c%-1)|+p(c%)..|
|000006d0| 2c 0c 20 f1 20 70 28 63 | 25 29 0d 01 36 28 20 ed |,. . p(c|%)..6( .|
|000006e0| 20 63 25 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | c%     |        |
|000006f0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00000700| 20 20 0d 01 40 3f 20 f4 | 20 4e 65 78 74 20 6c 69 |  ..@? .| Next li|
|00000710| 6e 65 20 6d 61 79 20 73 | 75 66 66 65 72 20 66 72 |ne may s|uffer fr|
|00000720| 6f 6d 20 72 6f 75 6e 64 | 69 6e 67 20 65 72 72 6f |om round|ing erro|
|00000730| 72 73 2c 20 75 73 65 20 | 69 6e 74 65 67 65 72 73 |rs, use |integers|
|00000740| 3f 0d 01 4a 4d 20 e7 20 | 94 28 70 28 6d 61 78 5f |?..JM . |.(p(max_|
|00000750| 65 71 75 61 74 69 6f 6e | 25 2d 31 29 2d 31 29 3e |equation|%-1)-1)>|
|00000760| 30 2e 30 30 30 30 31 20 | 8c 20 f1 22 50 72 6f 62 |0.00001 |. ."Prob|
|00000770| 61 62 69 6c 69 74 69 65 | 73 20 64 6f 6e 27 74 20 |abilitie|s don't |
|00000780| 61 64 64 20 75 70 20 74 | 6f 20 31 22 3a fa 0d 01 |add up t|o 1":...|
|00000790| 54 0d 20 3a 20 20 20 20 | 20 20 20 0d 01 68 06 20 |T. :    |   ..h. |
|000007a0| db 0d 01 72 13 20 f1 20 | 64 65 73 63 72 69 70 74 |...r. . |descript|
|000007b0| 69 6f 6e 24 0d 01 7c 22 | 20 78 3d 30 2e 35 3a 79 |ion$..|"| x=0.5:y|
|000007c0| 3d 30 2e 35 3a 63 25 20 | 3d 20 30 3a 66 69 72 73 |=0.5:c% |= 0:firs|
|000007d0| 74 25 20 3d 20 b9 0d 01 | 7d 1b 20 f4 20 71 25 20 |t% = ...|}. . q% |
|000007e0| 3d 20 65 71 75 61 74 69 | 6f 6e 20 6e 75 6d 62 65 |= equati|on numbe|
|000007f0| 72 0d 01 86 0b 20 f5 20 | 20 20 20 20 0d 01 88 1d |r.... . |    ....|
|00000800| 20 66 69 6c 6c 25 20 3d | 30 20 20 20 20 20 20 20 | fill% =|0       |
|00000810| 20 20 20 20 20 20 20 20 | 20 0d 01 90 16 20 e3 20 |        | .... . |
|00000820| 63 68 75 6e 6b 25 20 3d | 20 30 20 b8 20 39 39 0d |chunk% =| 0 . 99.|
|00000830| 01 9a 0b 20 72 3d b3 28 | 31 29 0d 01 a4 0d 20 71 |... r=.(|1).... q|
|00000840| 25 20 3d 20 2d 31 20 0d | 01 ae 06 20 f5 0d 01 b8 |% = -1 .|... ....|
|00000850| 10 20 71 25 20 3d 20 71 | 25 20 2b 20 31 0d 01 c2 |. q% = q|% + 1...|
|00000860| 0e 20 fd 20 70 28 71 25 | 29 3e 72 0d 01 cc 1d 20 |. . p(q%|)>r.... |
|00000870| 78 6e 3d 61 28 71 25 29 | 2a 78 2b 62 28 71 25 29 |xn=a(q%)|*x+b(q%)|
|00000880| 2a 79 2b 65 28 71 25 29 | 0d 01 d6 1d 20 79 6e 3d |*y+e(q%)|.... yn=|
|00000890| 63 28 71 25 29 2a 78 2b | 64 28 71 25 29 2a 79 2b |c(q%)*x+|d(q%)*y+|
|000008a0| 66 28 71 25 29 0d 01 e0 | 0e 20 78 3d 78 6e 3a 79 |f(q%)...|. x=xn:y|
|000008b0| 3d 79 6e 0d 01 ec 1a 20 | 78 73 3d 78 2a 78 66 2b |=yn.... |xs=x*xf+|
|000008c0| 78 63 3a 79 73 3d 79 2a | 79 66 2b 79 63 0d 01 ee |xc:ys=y*|yf+yc...|
|000008d0| 1f 20 e7 20 b0 78 73 2c | 79 73 29 20 8c 20 66 69 |. . .xs,|ys) . fi|
|000008e0| 6c 6c 25 20 2b 3d 31 20 | 20 20 20 20 0d 01 f4 1b |ll% +=1 |    ....|
|000008f0| 20 e7 20 ac 28 66 69 72 | 73 74 25 29 20 8c 20 c8 | . .(fir|st%) . .|
|00000900| 92 20 78 73 2c 79 73 0d | 01 f6 0d 20 ed 20 63 68 |. xs,ys.|... . ch|
|00000910| 75 6e 6b 25 0d 01 f8 0f | 20 66 69 72 73 74 25 20 |unk%....| first% |
|00000920| 3d 20 a3 0d 01 fa 1d 20 | f4 20 50 52 49 4e 54 20 |= ..... |. PRINT |
|00000930| 54 41 42 28 37 37 2c 30 | 29 3b 66 69 6c 6c 25 3b |TAB(77,0|);fill%;|
|00000940| 0d 01 fe 0f 20 fd 20 a6 | 28 30 29 3c 3e 2d 31 0d |.... . .|(0)<>-1.|
|00000950| 02 00 1c 20 f4 20 2a 53 | 43 52 45 45 4e 53 41 56 |... . *S|CREENSAV|
|00000960| 45 20 66 72 61 63 74 61 | 6c 73 63 0d 02 08 06 20 |E fracta|lsc.... |
|00000970| e0 0d 02 12 06 20 3a 0d | 02 1c 0d 20 dd 20 f2 70 |..... :.|... . .p|
|00000980| 61 75 73 65 0d 02 26 13 | 20 f1 22 50 72 65 73 73 |ause..&.| ."Press|
|00000990| 20 53 50 41 43 45 22 0d | 02 30 0b 20 2a 46 58 20 | SPACE".|.0. *FX |
|000009a0| 31 35 0d 02 3a 06 20 f5 | 0d 02 44 0e 20 fd 20 be |15..:. .|..D. . .|
|000009b0| 20 3d 20 22 20 22 0d 02 | 4e 06 20 e1 0d 02 58 06 | = " "..|N. ...X.|
|000009c0| 20 3a 0d 02 62 09 20 dc | 20 25 31 0d 02 6c 1c 20 | :..b. .| %1..l. |
|000009d0| dc 20 53 69 65 72 70 69 | 6e 73 6b 69 20 54 72 69 |. Sierpi|nski Tri|
|000009e0| 61 6e 67 6c 65 2c 33 0d | 02 76 10 20 dc 20 31 30 |angle,3.|.v. . 10|
|000009f0| 2c 30 2c 31 30 2c 30 0d | 02 80 1d 20 dc 20 30 2e |,0,10,0.|... . 0.|
|00000a00| 35 2c 30 2c 30 2c 30 2e | 35 2c 20 31 2c 20 31 2c |5,0,0,0.|5, 1, 1,|
|00000a10| 30 2e 33 33 0d 02 8a 1d | 20 dc 20 30 2e 35 2c 30 |0.33....| . 0.5,0|
|00000a20| 2c 30 2c 30 2e 35 2c 20 | 31 2c 35 30 2c 30 2e 33 |,0,0.5, |1,50,0.3|
|00000a30| 33 0d 02 94 1d 20 dc 20 | 30 2e 35 2c 30 2c 30 2c |3.... . |0.5,0,0,|
|00000a40| 30 2e 35 2c 35 30 2c 35 | 30 2c 30 2e 33 34 0d 02 |0.5,50,5|0,0.34..|
|00000a50| 9e 06 20 3a 0d 02 a8 09 | 20 dc 20 25 32 0d 02 b2 |.. :....| . %2...|
|00000a60| 0f 20 dc 20 53 71 75 61 | 72 65 2c 34 0d 02 bc 10 |. . Squa|re,4....|
|00000a70| 20 dc 20 31 30 2c 30 2c | 31 30 2c 30 0d 02 c6 1c | . 10,0,|10,0....|
|00000a80| 20 dc 30 2e 35 2c 30 2c | 30 2c 30 2e 35 2c 20 31 | .0.5,0,|0,0.5, 1|
|00000a90| 2c 20 31 2c 30 2e 32 35 | 0d 02 d0 1c 20 dc 30 2e |, 1,0.25|.... .0.|
|00000aa0| 35 2c 30 2c 30 2c 30 2e | 35 2c 35 30 2c 20 31 2c |5,0,0,0.|5,50, 1,|
|00000ab0| 30 2e 32 35 0d 02 da 1c | 20 dc 30 2e 35 2c 30 2c |0.25....| .0.5,0,|
|00000ac0| 30 2c 30 2e 35 2c 20 31 | 2c 35 30 2c 30 2e 32 35 |0,0.5, 1|,50,0.25|
|00000ad0| 0d 02 e4 1c 20 dc 30 2e | 35 2c 30 2c 30 2c 30 2e |.... .0.|5,0,0,0.|
|00000ae0| 35 2c 35 30 2c 35 30 2c | 30 2e 32 35 0d 02 ee 06 |5,50,50,|0.25....|
|00000af0| 20 3a 0d 02 f8 09 20 dc | 20 25 33 0d 03 02 0d 20 | :.... .| %3.... |
|00000b00| dc 20 46 65 72 6e 2c 34 | 0d 03 0c 14 20 dc 20 31 |. Fern,4|.... . 1|
|00000b10| 30 30 2c 35 30 30 2c 31 | 30 30 2c 30 0d 03 16 1a |00,500,1|00,0....|
|00000b20| 20 dc 20 30 2c 30 2c 30 | 2c 30 2e 31 36 2c 30 2c | . 0,0,0|,0.16,0,|
|00000b30| 30 2c 30 2e 30 31 0d 03 | 20 26 20 dc 20 30 2e 38 |0,0.01..| & . 0.8|
|00000b40| 35 2c 30 2e 30 34 2c 2d | 30 2e 30 34 2c 30 2e 38 |5,0.04,-|0.04,0.8|
|00000b50| 35 2c 30 2c 31 2e 36 2c | 30 2e 38 35 0d 03 2a 25 |5,0,1.6,|0.85..*%|
|00000b60| 20 dc 20 30 2e 32 2c 2d | 30 2e 32 36 2c 30 2e 32 | . 0.2,-|0.26,0.2|
|00000b70| 33 2c 30 2e 32 32 2c 30 | 2c 31 2e 36 2c 30 2e 30 |3,0.22,0|,1.6,0.0|
|00000b80| 37 0d 03 34 27 20 dc 20 | 2d 30 2e 31 35 2c 30 2e |7..4' . |-0.15,0.|
|00000b90| 32 38 2c 30 2e 32 36 2c | 30 2e 32 34 2c 30 2c 30 |28,0.26,|0.24,0,0|
|00000ba0| 2e 34 34 2c 30 2e 30 37 | 0d 03 3e 05 3a 0d 03 48 |.44,0.07|..>.:..H|
|00000bb0| 08 dc 20 25 34 0d 03 52 | 14 dc 20 46 72 61 63 74 |.. %4..R|.. Fract|
|00000bc0| 61 6c 20 54 72 65 65 2c | 34 0d 03 5c 15 dc 20 32 |al Tree,|4..\.. 2|
|00000bd0| 30 30 30 2c 35 30 30 2c | 32 30 30 30 2c 30 0d 03 |000,500,|2000,0..|
|00000be0| 66 18 dc 20 30 2c 30 2c | 30 2c 30 2e 35 2c 30 2c |f.. 0,0,|0,0.5,0,|
|00000bf0| 30 2c 30 2e 30 35 0d 03 | 70 24 dc 20 30 2e 34 32 |0,0.05..|p$. 0.42|
|00000c00| 2c 2d 30 2e 34 32 2c 30 | 2e 34 32 2c 30 2e 34 32 |,-0.42,0|.42,0.42|
|00000c10| 2c 30 2c 30 2e 32 2c 30 | 2e 34 0d 03 7a 24 dc 20 |,0,0.2,0|.4..z$. |
|00000c20| 30 2e 34 32 2c 30 2e 34 | 32 2c 2d 30 2e 34 32 2c |0.42,0.4|2,-0.42,|
|00000c30| 30 2e 34 32 2c 30 2c 30 | 2e 32 2c 30 2e 34 0d 03 |0.42,0,0|.2,0.4..|
|00000c40| 84 1c dc 20 30 2e 31 2c | 30 2c 30 2c 30 2e 31 2c |... 0.1,|0,0,0.1,|
|00000c50| 30 2c 30 2e 32 2c 30 2e | 31 35 0d 03 8e 05 3a 0d |0,0.2,0.|15....:.|
|00000c60| 03 98 08 dc 20 25 35 0d | 03 a2 10 dc 20 22 33 2e |.... %5.|.... "3.|
|00000c70| 31 30 2e 35 22 2c 33 0d | 03 ac 13 dc 20 31 30 30 |10.5",3.|.... 100|
|00000c80| 30 2c 30 2c 31 30 30 30 | 2c 30 0d 03 b6 1a dc 20 |0,0,1000|,0..... |
|00000c90| 30 2e 35 2c 30 2c 30 2c | 30 2e 35 2c 30 2c 30 2c |0.5,0,0,|0.5,0,0,|
|00000ca0| 30 2e 33 33 0d 03 c0 1c | dc 20 30 2e 35 2c 30 2c |0.33....|. 0.5,0,|
|00000cb0| 30 2c 30 2e 35 2c 30 2e | 35 2c 30 2c 30 2e 33 33 |0,0.5,0.|5,0,0.33|
|00000cc0| 0d 03 ca 1d dc 20 30 2c | 2d 30 2e 35 2c 30 2e 35 |..... 0,|-0.5,0.5|
|00000cd0| 2c 30 2c 31 2c 30 2e 35 | 2c 30 2e 33 34 0d 03 d4 |,0,1,0.5|,0.34...|
|00000ce0| 05 3a 0d 03 de 08 dc 20 | 25 36 0d 03 e8 1d dc 20 |.:..... |%6..... |
|00000cf0| 22 33 2e 31 30 2e 39 20 | 53 79 6d 6d 65 72 74 72 |"3.10.9 |Symmertr|
|00000d00| 69 63 61 6c 22 2c 34 0d | 03 f2 13 dc 20 31 32 30 |ical",4.|.... 120|
|00000d10| 30 2c 30 2c 31 30 30 30 | 2c 30 0d 03 fc 21 dc 20 |0,0,1000|,0...!. |
|00000d20| 30 2e 35 2c 30 2c 30 2c | 30 2e 35 2c 30 2c 30 2e |0.5,0,0,|0.5,0,0.|
|00000d30| 35 20 20 20 20 20 2c 30 | 2e 32 35 0d 04 06 21 dc |5     ,0|.25...!.|
|00000d40| 20 2d 30 2e 35 2c 30 2c | 30 2c 30 2e 35 2c 31 2c | -0.5,0,|0,0.5,1,|
|00000d50| 30 2e 35 20 20 20 20 2c | 30 2e 32 35 0d 04 10 21 |0.5    ,|0.25...!|
|00000d60| dc 20 30 2e 35 2c 30 2c | 30 2c 2d 30 2e 35 2c 30 |. 0.5,0,|0,-0.5,0|
|00000d70| 2c 30 2e 35 20 20 20 20 | 2c 30 2e 32 35 0d 04 1a |,0.5    |,0.25...|
|00000d80| 23 dc 20 30 2e 33 33 2c | 30 2c 30 2c 30 2e 33 33 |#. 0.33,|0,0,0.33|
|00000d90| 2c 30 2e 33 33 2c 30 2e | 33 33 20 2c 30 2e 32 35 |,0.33,0.|33 ,0.25|
|00000da0| 0d 04 24 05 3a 0d 04 2e | 08 dc 20 25 37 0d 04 38 |..$.:...|.. %7..8|
|00000db0| 19 dc 20 22 33 2e 31 30 | 2e 39 20 41 63 63 75 72 |.. "3.10|.9 Accur|
|00000dc0| 61 74 65 22 2c 34 0d 04 | 42 0d dc 20 31 2c 30 2c |ate",4..|B.. 1,0,|
|00000dd0| 31 2c 30 0d 04 4c 23 dc | 20 30 2e 34 37 39 2c 30 |1,0..L#.| 0.479,0|
|00000de0| 2c 30 2c 30 2e 35 2c 30 | 2c 34 35 30 20 20 20 20 |,0,0.5,0|,450    |
|00000df0| 20 2c 30 2e 32 35 0d 04 | 56 23 dc 20 2d 30 2e 35 | ,0.25..|V#. -0.5|
|00000e00| 2c 30 2c 30 2c 30 2e 34 | 38 2c 39 30 30 2c 34 37 |,0,0,0.4|8,900,47|
|00000e10| 30 20 20 20 2c 30 2e 32 | 35 0d 04 60 23 dc 20 30 |0   ,0.2|5..`#. 0|
|00000e20| 2e 34 35 38 2c 30 2c 30 | 2c 2d 30 2e 35 2c 30 2c |.458,0,0|,-0.5,0,|
|00000e30| 34 33 30 20 20 20 20 2c | 30 2e 32 35 0d 04 6a 23 |430    ,|0.25..j#|
|00000e40| dc 20 30 2c 2d 30 2e 33 | 33 2c 2d 30 2e 33 33 2c |. 0,-0.3|3,-0.33,|
|00000e50| 30 2c 36 30 30 2c 36 30 | 30 20 2c 30 2e 32 35 0d |0,600,60|0 ,0.25.|
|00000e60| 04 74 05 3a 0d 04 7e 08 | dc 20 25 38 0d 04 88 11 |.t.:..~.|. %8....|
|00000e70| dc 20 22 33 2e 31 30 2e | 31 31 22 2c 32 0d 04 92 |. "3.10.|11",2...|
|00000e80| 15 dc 20 35 30 30 2c 35 | 30 30 2c 35 30 30 2c 33 |.. 500,5|00,500,3|
|00000e90| 30 30 0d 04 9c 25 dc 20 | 30 2e 34 36 2c 2d 30 2e |00...%. |0.46,-0.|
|00000ea0| 34 2c 30 2e 34 2c 30 2e | 34 36 2c 30 2e 34 2c 2d |4,0.4,0.|46,0.4,-|
|00000eb0| 30 2e 32 2c 30 2e 35 0d | 04 a6 24 dc 20 30 2e 34 |0.2,0.5.|..$. 0.4|
|00000ec0| 36 2c 2d 30 2e 34 2c 30 | 2e 34 2c 30 2e 34 36 2c |6,-0.4,0|.4,0.46,|
|00000ed0| 30 2e 30 2c 30 2e 37 2c | 30 2e 35 0d 04 b0 05 3a |0.0,0.7,|0.5....:|
|00000ee0| 0d 04 ba 08 dc 20 25 39 | 0d 04 c4 10 dc 20 22 43 |..... %9|..... "C|
|00000ef0| 68 61 6f 73 22 2c 32 30 | 0d 04 ce 0f dc 20 36 30 |haos",20|..... 60|
|00000f00| 2c 30 2c 36 30 2c 30 0d | 04 d8 32 dc 20 30 2e 31 |,0,60,0.|..2. 0.1|
|00000f10| 2c 30 2c 30 2c 30 2e 32 | 2c 31 2c 30 20 20 20 20 |,0,0,0.2|,1,0    |
|00000f20| 2c 30 2e 30 34 3a 52 45 | 4d 20 43 20 68 6f 72 69 |,0.04:RE|M C hori|
|00000f30| 7a 6f 6e 74 61 6c 20 20 | 32 0d 04 e2 32 dc 20 30 |zontal  |2...2. 0|
|00000f40| 2e 31 2c 30 2c 30 2c 30 | 2e 32 2c 31 2c 34 20 20 |.1,0,0,0|.2,1,4  |
|00000f50| 20 20 2c 30 2e 30 34 3a | 52 45 4d 20 43 20 48 4f |  ,0.04:|REM C HO|
|00000f60| 52 49 5a 20 20 20 20 20 | 20 20 32 0d 04 ec 2c dc |RIZ     |  2...,.|
|00000f70| 20 30 2c 2d 30 2e 32 2c | 30 2e 32 35 2c 30 2c 31 | 0,-0.2,|0.25,0,1|
|00000f80| 2c 30 20 20 2c 30 2e 30 | 38 20 3a 52 45 4d 20 43 |,0  ,0.0|8 :REM C|
|00000f90| 20 56 45 52 54 20 35 0d | 04 f6 2c dc 20 30 2c 2d | VERT 5.|..,. 0,-|
|00000fa0| 30 2e 32 2c 30 2e 32 35 | 2c 30 2c 35 2c 30 20 20 |0.2,0.25|,0,5,0  |
|00000fb0| 2c 30 2e 30 38 20 3a 52 | 45 4d 20 48 20 56 45 52 |,0.08 :R|EM H VER|
|00000fc0| 54 20 35 0d 05 00 2c dc | 20 30 2c 2d 30 2e 32 2c |T 5...,.| 0,-0.2,|
|00000fd0| 30 2e 32 35 2c 30 2c 37 | 2c 30 20 20 2c 30 2e 30 |0.25,0,7|,0  ,0.0|
|00000fe0| 38 20 3a 52 45 4d 20 48 | 20 56 45 52 54 20 35 0d |8 :REM H| VERT 5.|
|00000ff0| 05 0a 2e dc 20 30 2e 30 | 35 2c 30 2c 30 2c 30 2e |.... 0.0|5,0,0,0.|
|00001000| 32 2c 35 2c 32 20 20 20 | 2c 30 2e 30 32 20 3a 20 |2,5,2   |,0.02 : |
|00001010| 52 45 4d 20 48 20 48 4f | 52 49 5a 20 31 0d 05 14 |REM H HO|RIZ 1...|
|00001020| 2c dc 20 30 2e 31 2c 30 | 2c 30 2c 30 2e 32 2c 38 |,. 0.1,0|,0,0.2,8|
|00001030| 2c 34 20 20 20 20 2c 30 | 2e 30 34 3a 52 45 4d 20 |,4    ,0|.04:REM |
|00001040| 41 20 48 4f 52 49 5a 20 | 32 0d 05 1e 2c dc 20 30 |A HORIZ |2...,. 0|
|00001050| 2e 31 2c 30 2c 30 2c 30 | 2e 32 2c 38 2c 32 20 20 |.1,0,0,0|.2,8,2  |
|00001060| 20 20 2c 30 2e 30 34 3a | 52 45 4d 20 41 20 48 4f |  ,0.04:|REM A HO|
|00001070| 52 49 5a 20 32 0d 05 28 | 2c dc 20 30 2e 31 2c 30 |RIZ 2..(|,. 0.1,0|
|00001080| 2c 30 2c 30 2e 32 2c 39 | 2c 30 20 20 20 20 2c 30 |,0,0.2,9|,0    ,0|
|00001090| 2e 30 34 3a 52 45 4d 20 | 41 20 48 4f 52 49 5a 20 |.04:REM |A HORIZ |
|000010a0| 32 0d 05 32 2c dc 20 30 | 2c 2d 30 2e 32 2c 30 2e |2..2,. 0|,-0.2,0.|
|000010b0| 31 2c 30 2c 39 2c 30 20 | 20 20 2c 30 2e 30 34 20 |1,0,9,0 |  ,0.04 |
|000010c0| 3a 52 45 4d 20 41 20 56 | 45 52 54 20 32 0d 05 3c |:REM A V|ERT 2..<|
|000010d0| 2c dc 20 30 2c 2d 30 2e | 32 2c 30 2e 32 2c 30 2c |,. 0,-0.|2,0.2,0,|
|000010e0| 31 31 2c 31 20 20 2c 30 | 2e 30 37 20 3a 52 45 4d |11,1  ,0|.07 :REM|
|000010f0| 20 41 20 56 45 52 54 20 | 34 0d 05 46 2c dc 20 30 | A VERT |4..F,. 0|
|00001100| 2e 32 2c 30 2c 30 2c 30 | 2e 32 2c 31 32 2c 30 20 |.2,0,0,0|.2,12,0 |
|00001110| 20 20 2c 30 2e 30 37 3a | 52 45 4d 20 4f 20 48 4f |  ,0.07:|REM O HO|
|00001120| 52 49 5a 20 34 0d 05 50 | 2c dc 20 30 2e 32 2c 30 |RIZ 4..P|,. 0.2,0|
|00001130| 2c 30 2c 30 2e 32 2c 31 | 32 2c 34 20 20 20 2c 30 |,0,0.2,1|2,4   ,0|
|00001140| 2e 30 37 3a 52 45 4d 20 | 4f 20 48 4f 52 49 5a 20 |.07:REM |O HORIZ |
|00001150| 34 0d 05 5a 2d dc 20 30 | 2c 2d 30 2e 32 2c 30 2e |4..Z-. 0|,-0.2,0.|
|00001160| 31 35 2c 30 2c 31 33 2c | 31 20 20 2c 30 2e 30 35 |15,0,13,|1  ,0.05|
|00001170| 20 3a 52 45 4d 20 4f 20 | 56 45 52 54 20 33 0d 05 | :REM O |VERT 3..|
|00001180| 64 2d dc 20 30 2c 2d 30 | 2e 32 2c 30 2e 31 35 2c |d-. 0,-0|.2,0.15,|
|00001190| 30 2c 31 36 2c 31 20 20 | 2c 30 2e 30 35 20 3a 52 |0,16,1  |,0.05 :R|
|000011a0| 45 4d 20 4f 20 56 45 52 | 54 20 33 0d 05 6e 2d dc |EM O VER|T 3..n-.|
|000011b0| 20 30 2e 31 35 2c 30 2c | 30 2c 30 2e 32 2c 31 37 | 0.15,0,|0,0.2,17|
|000011c0| 2c 34 20 20 20 2c 30 2e | 30 35 3a 52 45 4d 20 53 |,4   ,0.|05:REM S|
|000011d0| 20 48 4f 52 49 5a 20 33 | 0d 05 78 2d dc 20 30 2e | HORIZ 3|..x-. 0.|
|000011e0| 31 35 2c 30 2c 30 2c 30 | 2e 32 2c 31 37 2c 32 20 |15,0,0,0|.2,17,2 |
|000011f0| 20 20 2c 30 2e 30 35 3a | 52 45 4d 20 53 20 48 4f |  ,0.05:|REM S HO|
|00001200| 52 49 5a 20 33 0d 05 82 | 2d dc 20 30 2e 31 35 2c |RIZ 3...|-. 0.15,|
|00001210| 30 2c 30 2c 30 2e 32 2c | 31 37 2c 30 20 20 20 2c |0,0,0.2,|17,0   ,|
|00001220| 30 2e 30 35 3a 52 45 4d | 20 53 20 48 4f 52 49 5a |0.05:REM| S HORIZ|
|00001230| 20 33 0d 05 8c 2e dc 20 | 30 2e 30 35 2c 30 2c 30 | 3..... |0.05,0,0|
|00001240| 2c 30 2e 32 2c 31 37 2c | 33 20 20 2c 30 2e 30 32 |,0.2,17,|3  ,0.02|
|00001250| 20 3a 20 52 45 4d 20 53 | 20 48 4f 52 49 5a 20 31 | : REM S| HORIZ 1|
|00001260| 0d 05 96 2e dc 20 30 2e | 30 35 2c 30 2c 30 2c 30 |..... 0.|05,0,0,0|
|00001270| 2e 32 2c 31 39 2c 31 20 | 20 2c 30 2e 30 32 20 3a |.2,19,1 | ,0.02 :|
|00001280| 20 52 45 4d 20 53 20 48 | 4f 52 49 5a 20 31 0d 05 | REM S H|ORIZ 1..|
|00001290| a0 04 0d ff 46 69 6c 65 | 44 61 74 61 82 46 72 61 |....File|Data.Fra|
|000012a0| 63 74 61 6c 49 74 33 00 | 7f 0c 00 00 43 fb ff ff |ctalIt3.|....C...|
|000012b0| a0 7b e4 99 03 00 28 c0 | 0d 00 0a 11 f4 20 3e 46 |.{....(.|..... >F|
|000012c0| 72 61 63 74 61 6c 49 74 | 33 0d 00 14 15 f4 20 52 |ractalIt|3..... R|
|000012d0| 6f 62 65 72 74 20 43 68 | 72 69 73 6d 61 73 0d 00 |obert Ch|rismas..|
|000012e0| 1e 0e f4 20 31 39 39 31 | 31 31 31 36 0d 00 28 05 |... 1991|1116..(.|
|000012f0| 3a 0d 00 32 1f eb 20 30 | 3a f4 20 4d 4f 44 45 20 |:..2.. 0|:. MODE |
|00001300| 31 38 20 66 6f 72 20 6d | 75 6c 74 69 73 79 6e 63 |18 for m|ultisync|
|00001310| 0d 00 3c 39 f1 20 22 43 | 6f 6d 70 75 74 69 6e 67 |..<9. "C|omputing|
|00001320| 20 46 72 61 63 74 61 6c | 73 20 66 72 6f 6d 20 49 | Fractal|s from I|
|00001330| 74 65 72 61 74 65 64 20 | 46 75 6e 63 74 69 6f 6e |terated |Function|
|00001340| 20 73 79 73 74 65 6d 73 | 22 0d 00 46 3a f1 20 22 | systems|"..F:. "|
|00001350| 3d 3d 3d 3d 3d 3d 3d 3d | 3d 3d 3d 3d 3d 3d 3d 3d |========|========|
|00001360| 3d 3d 3d 3d 3d 3d 3d 3d | 20 3d 3d 3d 3d 3d 3d 3d |========| =======|
|00001370| 3d 3d 3d 3d 3d 3d 3d 3d | 3d 3d 3d 3d 3d 3d 3d 3d |========|========|
|00001380| 3d 3d 22 0d 00 50 42 f1 | 20 27 22 46 72 6f 6d 20 |=="..PB.| '"From |
|00001390| 61 6e 20 69 64 65 61 20 | 69 6e 20 27 46 72 61 63 |an idea |in 'Frac|
|000013a0| 74 61 6c 73 20 45 76 65 | 72 79 77 68 65 72 65 27 |tals Eve|rywhere'|
|000013b0| 20 62 79 20 4d 69 63 68 | 61 65 6c 20 42 61 72 6e | by Mich|ael Barn|
|000013c0| 73 6c 65 79 22 0d 00 5a | 4c f1 20 27 22 54 68 69 |sley"..Z|L. '"Thi|
|000013d0| 73 20 70 72 6f 67 72 61 | 6d 20 75 73 65 73 20 74 |s progra|m uses t|
|000013e0| 68 65 20 27 52 61 6e 64 | 6f 6d 20 49 74 65 72 61 |he 'Rand|om Itera|
|000013f0| 74 69 6f 6e 20 41 6c 67 | 6f 72 69 74 68 6d 20 64 |tion Alg|orithm d|
|00001400| 65 73 63 72 69 62 65 64 | 20 6f 6e 20 70 38 36 2e |escribed| on p86.|
|00001410| 22 0d 00 64 31 f1 20 27 | 22 54 68 65 20 64 61 74 |"..d1. '|"The dat|
|00001420| 61 20 6c 69 6e 65 73 20 | 64 65 66 69 6e 65 20 61 |a lines |define a|
|00001430| 20 6e 75 6d 62 65 72 20 | 6f 66 20 73 65 74 73 2e | number |of sets.|
|00001440| 22 27 0d 00 6e 2c e8 20 | 22 53 65 6c 65 63 74 20 |"'..n,. |"Select |
|00001450| 64 61 74 61 20 73 65 74 | 20 6e 75 6d 62 65 72 20 |data set| number |
|00001460| 28 31 20 74 6f 20 37 29 | 22 2c 73 65 74 25 0d 00 |(1 to 7)|",set%..|
|00001470| 78 05 3a 0d 00 82 0f f4 | 20 50 52 4f 43 70 61 75 |x.:.....| PROCpau|
|00001480| 73 65 0d 00 8c 05 db 0d | 00 96 05 3a 0d 00 a0 11 |se......|...:....|
|00001490| 6d 61 78 5f 64 69 6d 25 | 20 3d 20 32 30 0d 00 aa |max_dim%| = 20...|
|000014a0| 38 de 20 61 28 6d 61 78 | 5f 64 69 6d 25 29 2c 20 |8. a(max|_dim%), |
|000014b0| 62 28 6d 61 78 5f 64 69 | 6d 25 29 2c 20 63 28 6d |b(max_di|m%), c(m|
|000014c0| 61 78 5f 64 69 6d 25 29 | 2c 20 64 28 6d 61 78 5f |ax_dim%)|, d(max_|
|000014d0| 64 69 6d 25 29 0d 00 b4 | 2b de 20 65 28 6d 61 78 |dim%)...|+. e(max|
|000014e0| 5f 64 69 6d 25 29 2c 20 | 66 28 6d 61 78 5f 64 69 |_dim%), |f(max_di|
|000014f0| 6d 25 29 2c 20 70 28 6d | 61 78 5f 64 69 6d 25 29 |m%), p(m|ax_dim%)|
|00001500| 0d 00 be 05 3a 0d 00 c8 | 21 f4 20 53 65 6c 65 63 |....:...|!. Selec|
|00001510| 74 20 74 68 65 20 72 69 | 67 68 74 20 64 61 74 61 |t the ri|ght data|
|00001520| 20 6c 69 6e 65 73 0d 00 | d2 05 f5 0d 00 dc 08 f3 | lines..|........|
|00001530| 20 64 24 0d 00 e6 16 fd | 20 64 24 20 3d 20 22 25 | d$.....| d$ = "%|
|00001540| 22 2b c3 28 73 65 74 25 | 29 0d 00 f0 05 3a 0d 00 |"+.(set%|)....:..|
|00001550| fa 20 f3 20 64 65 73 63 | 72 69 70 74 69 6f 6e 24 |. . desc|ription$|
|00001560| 2c 6d 61 78 5f 65 71 75 | 61 74 69 6f 6e 25 0d 01 |,max_equ|ation%..|
|00001570| 04 31 f3 20 78 66 2c 78 | 63 2c 79 66 2c 79 63 20 |.1. xf,x|c,yf,yc |
|00001580| 3a 20 f4 20 74 72 61 6e | 73 66 6f 72 6d 20 74 6f |: . tran|sform to|
|00001590| 20 73 63 72 65 65 6e 20 | 63 6f 2d 6f 72 64 73 0d | screen |co-ords.|
|000015a0| 01 0e 1e e3 20 63 25 20 | 3d 20 30 20 b8 20 6d 61 |.... c% |= 0 . ma|
|000015b0| 78 5f 65 71 75 61 74 69 | 6f 6e 25 2d 31 0d 01 18 |x_equati|on%-1...|
|000015c0| 35 f3 20 61 28 63 25 29 | 2c 20 62 28 63 25 29 2c |5. a(c%)|, b(c%),|
|000015d0| 20 63 28 63 25 29 2c 20 | 64 28 63 25 29 2c 20 65 | c(c%), |d(c%), e|
|000015e0| 28 63 25 29 2c 20 66 28 | 63 25 29 2c 20 70 28 63 |(c%), f(|c%), p(c|
|000015f0| 25 29 0d 01 22 20 e7 20 | 63 25 3e 30 20 8c 20 70 |%).." . |c%>0 . p|
|00001600| 28 63 25 29 3d 70 28 63 | 25 2d 31 29 2b 70 28 63 |(c%)=p(c|%-1)+p(c|
|00001610| 25 29 0d 01 2c 0b f1 20 | 70 28 63 25 29 0d 01 36 |%)..,.. |p(c%)..6|
|00001620| 08 ed 20 63 25 0d 01 40 | 3e f4 20 4e 65 78 74 20 |.. c%..@|>. Next |
|00001630| 6c 69 6e 65 20 6d 61 79 | 20 73 75 66 66 65 72 20 |line may| suffer |
|00001640| 66 72 6f 6d 20 72 6f 75 | 6e 64 69 6e 67 20 65 72 |from rou|nding er|
|00001650| 72 6f 72 73 2c 20 75 73 | 65 20 69 6e 74 65 67 65 |rors, us|e intege|
|00001660| 72 73 3f 0d 01 4a 4d e7 | 20 94 28 70 28 6d 61 78 |rs?..JM.| .(p(max|
|00001670| 5f 65 71 75 61 74 69 6f | 6e 25 2d 31 29 2d 31 29 |_equatio|n%-1)-1)|
|00001680| 3e 20 30 2e 30 30 30 30 | 31 20 8c 20 f1 22 50 72 |> 0.0000|1 . ."Pr|
|00001690| 6f 62 61 62 69 6c 69 74 | 69 65 73 20 64 6f 6e 27 |obabilit|ies don'|
|000016a0| 74 20 61 64 64 20 75 70 | 20 74 6f 20 31 22 3a fa |t add up| to 1":.|
|000016b0| 0d 01 54 05 3a 0d 01 5e | 05 db 0d 01 68 12 f1 20 |..T.:..^|....h.. |
|000016c0| 64 65 73 63 72 69 70 74 | 69 6f 6e 24 0d 01 72 18 |descript|ion$..r.|
|000016d0| 78 3d 30 2e 35 3a 20 79 | 3d 30 2e 35 3a 20 63 25 |x=0.5: y|=0.5: c%|
|000016e0| 20 3d 20 30 0d 01 7c 1a | f4 20 71 25 20 3d 20 65 | = 0..|.|. q% = e|
|000016f0| 71 75 61 74 69 6f 6e 20 | 6e 75 6d 62 65 72 0d 01 |quation |number..|
|00001700| 86 05 f5 0d 01 90 0a 72 | 3d b3 28 31 29 0d 01 9a |.......r|=.(1)...|
|00001710| 0b 71 25 20 3d 20 2d 31 | 0d 01 a4 05 f5 0d 01 ae |.q% = -1|........|
|00001720| 0f 71 25 20 3d 20 71 25 | 20 2b 20 31 0d 01 b8 0d |.q% = q%| + 1....|
|00001730| fd 20 70 28 71 25 29 3e | 72 0d 01 c2 1c 78 6e 3d |. p(q%)>|r....xn=|
|00001740| 61 28 71 25 29 2a 78 2b | 62 28 71 25 29 2a 79 2b |a(q%)*x+|b(q%)*y+|
|00001750| 65 28 71 25 29 0d 01 cc | 1c 79 6e 3d 63 28 71 25 |e(q%)...|.yn=c(q%|
|00001760| 29 2a 78 2b 64 28 71 25 | 29 2a 79 2b 66 28 71 25 |)*x+d(q%|)*y+f(q%|
|00001770| 29 0d 01 d6 0d 78 3d 78 | 6e 3a 79 3d 79 6e 0d 01 |)....x=x|n:y=yn..|
|00001780| e0 0f 63 25 20 3d 20 63 | 25 20 2b 20 31 0d 01 ea |..c% = c|% + 1...|
|00001790| 24 e7 20 63 25 20 3e 20 | 31 30 30 20 8c 20 c8 92 |$. c% > |100 . ..|
|000017a0| 20 78 2a 78 66 2b 78 63 | 2c 20 79 2a 79 66 2b 79 | x*xf+xc|, y*yf+y|
|000017b0| 63 0d 01 f4 0e fd 20 a6 | 28 30 29 3c 3e 2d 31 0d |c..... .|(0)<>-1.|
|000017c0| 01 fe 19 2a 53 43 52 45 | 45 4e 53 41 56 45 20 66 |...*SCRE|ENSAVE f|
|000017d0| 72 61 63 74 61 6c 73 63 | 0d 02 08 05 e0 0d 02 12 |ractalsc|........|
|000017e0| 05 3a 0d 02 1c 0c dd 20 | f2 70 61 75 73 65 0d 02 |.:..... |.pause..|
|000017f0| 26 12 f1 22 50 72 65 73 | 73 20 53 50 41 43 45 22 |&.."Pres|s SPACE"|
|00001800| 0d 02 30 0a 2a 46 58 20 | 31 35 0d 02 3a 05 f5 0d |..0.*FX |15..:...|
|00001810| 02 44 0d fd 20 be 20 3d | 20 22 20 22 0d 02 4e 05 |.D.. . =| " "..N.|
|00001820| e1 0d 02 58 05 3a 0d 02 | 62 08 dc 20 25 31 0d 02 |...X.:..|b.. %1..|
|00001830| 6c 1b dc 20 53 69 65 72 | 70 69 6e 73 6b 69 20 54 |l.. Sier|pinski T|
|00001840| 72 69 61 6e 67 6c 65 2c | 33 0d 02 76 12 dc 20 31 |riangle,|3..v.. 1|
|00001850| 30 2c 20 30 2c 20 31 30 | 2c 20 30 0d 02 80 20 dc |0, 0, 10|, 0... .|
|00001860| 20 30 2e 35 2c 20 30 2c | 20 30 2c 20 30 2e 35 2c | 0.5, 0,| 0, 0.5,|
|00001870| 20 30 2c 20 30 2c 20 30 | 2e 33 33 0d 02 8a 20 dc | 0, 0, 0|.33... .|
|00001880| 20 30 2e 35 2c 20 30 2c | 20 30 2c 20 30 2e 35 2c | 0.5, 0,| 0, 0.5,|
|00001890| 20 30 2c 35 30 2c 20 30 | 2e 33 33 0d 02 94 20 dc | 0,50, 0|.33... .|
|000018a0| 20 30 2e 35 2c 20 30 2c | 20 30 2c 20 30 2e 35 2c | 0.5, 0,| 0, 0.5,|
|000018b0| 20 35 30 2c 35 30 2c 30 | 2e 33 34 0d 02 9e 05 3a | 50,50,0|.34....:|
|000018c0| 0d 02 a8 08 dc 20 25 32 | 0d 02 b2 13 dc 20 22 53 |..... %2|..... "S|
|000018d0| 65 61 20 48 6f 72 73 65 | 22 2c 32 0d 02 bc 15 dc |ea Horse|",2.....|
|000018e0| 20 35 30 30 2c 35 30 30 | 2c 35 30 30 2c 33 30 30 | 500,500|,500,300|
|000018f0| 0d 02 c6 26 dc 20 30 2e | 34 36 2c 2d 30 2e 34 2c |...&. 0.|46,-0.4,|
|00001900| 30 2e 34 2c 30 2e 34 36 | 2c 30 2e 34 2c 20 2d 30 |0.4,0.46|,0.4, -0|
|00001910| 2e 32 2c 30 2e 35 0d 02 | d0 25 dc 20 30 2e 34 36 |.2,0.5..|.%. 0.46|
|00001920| 2c 2d 30 2e 34 2c 30 2e | 34 2c 30 2e 34 36 2c 30 |,-0.4,0.|4,0.46,0|
|00001930| 2e 30 2c 20 30 2e 37 2c | 30 2e 35 0d 02 da 05 3a |.0, 0.7,|0.5....:|
|00001940| 0d 02 e4 08 dc 20 25 33 | 0d 02 ee 0c dc 20 46 65 |..... %3|..... Fe|
|00001950| 72 6e 2c 34 0d 02 f8 13 | dc 20 31 30 30 2c 35 30 |rn,4....|. 100,50|
|00001960| 30 2c 31 30 30 2c 30 0d | 03 02 19 dc 20 30 2c 30 |0,100,0.|.... 0,0|
|00001970| 2c 30 2c 30 2e 31 36 2c | 30 2c 30 2c 30 2e 30 31 |,0,0.16,|0,0,0.01|
|00001980| 0d 03 0c 25 dc 20 30 2e | 38 35 2c 30 2e 30 34 2c |...%. 0.|85,0.04,|
|00001990| 2d 30 2e 30 34 2c 30 2e | 38 35 2c 30 2c 31 2e 36 |-0.04,0.|85,0,1.6|
|000019a0| 2c 30 2e 38 35 0d 03 16 | 24 dc 20 30 2e 32 2c 2d |,0.85...|$. 0.2,-|
|000019b0| 30 2e 32 36 2c 30 2e 32 | 33 2c 30 2e 32 32 2c 30 |0.26,0.2|3,0.22,0|
|000019c0| 2c 31 2e 36 2c 30 2e 30 | 37 0d 03 20 26 dc 20 2d |,1.6,0.0|7.. &. -|
|000019d0| 30 2e 31 35 2c 30 2e 32 | 38 2c 30 2e 32 36 2c 30 |0.15,0.2|8,0.26,0|
|000019e0| 2e 32 34 2c 30 2c 30 2e | 34 34 2c 30 2e 30 37 0d |.24,0,0.|44,0.07.|
|000019f0| 03 2a 04 0d 03 34 08 dc | 20 25 34 0d 03 3e 14 dc |.*...4..| %4..>..|
|00001a00| 20 46 72 61 63 74 61 6c | 20 54 72 65 65 2c 34 0d | Fractal| Tree,4.|
|00001a10| 03 48 15 dc 20 32 30 30 | 30 2c 35 30 30 2c 32 30 |.H.. 200|0,500,20|
|00001a20| 30 30 2c 30 0d 03 52 18 | dc 20 30 2c 30 2c 30 2c |00,0..R.|. 0,0,0,|
|00001a30| 30 2e 35 2c 30 2c 30 2c | 30 2e 30 35 0d 03 5c 24 |0.5,0,0,|0.05..\$|
|00001a40| dc 20 30 2e 34 32 2c 2d | 30 2e 34 32 2c 30 2e 34 |. 0.42,-|0.42,0.4|
|00001a50| 32 2c 30 2e 34 32 2c 30 | 2c 30 2e 32 2c 30 2e 34 |2,0.42,0|,0.2,0.4|
|00001a60| 0d 03 66 24 dc 20 30 2e | 34 32 2c 30 2e 34 32 2c |..f$. 0.|42,0.42,|
|00001a70| 2d 30 2e 34 32 2c 30 2e | 34 32 2c 30 2c 30 2e 32 |-0.42,0.|42,0,0.2|
|00001a80| 2c 30 2e 34 0d 03 70 1c | dc 20 30 2e 31 2c 30 2c |,0.4..p.|. 0.1,0,|
|00001a90| 30 2c 30 2e 31 2c 30 2c | 30 2e 32 2c 30 2e 31 35 |0,0.1,0,|0.2,0.15|
|00001aa0| 0d 03 7a 04 0d 03 84 08 | dc 20 25 35 0d 03 8e 0f |..z.....|. %5....|
|00001ab0| dc 20 22 48 6f 6f 6b 73 | 22 2c 33 0d 03 98 13 dc |. "Hooks|",3.....|
|00001ac0| 20 31 30 30 30 2c 30 2c | 31 30 30 30 2c 30 0d 03 | 1000,0,|1000,0..|
|00001ad0| a2 1a dc 20 30 2e 35 2c | 30 2c 30 2c 30 2e 35 2c |... 0.5,|0,0,0.5,|
|00001ae0| 30 2c 30 2c 30 2e 33 33 | 0d 03 ac 1c dc 20 30 2e |0,0,0.33|..... 0.|
|00001af0| 35 2c 30 2c 30 2c 30 2e | 35 2c 30 2e 35 2c 30 2c |5,0,0,0.|5,0.5,0,|
|00001b00| 30 2e 33 33 0d 03 b6 1d | dc 20 30 2c 2d 30 2e 35 |0.33....|. 0,-0.5|
|00001b10| 2c 30 2e 35 2c 30 2c 31 | 2c 30 2e 35 2c 30 2e 33 |,0.5,0,1|,0.5,0.3|
|00001b20| 34 0d 03 c0 04 0d 03 ca | 08 dc 20 25 36 0d 03 d4 |4.......|.. %6...|
|00001b30| 0f dc 20 22 42 6f 78 65 | 73 22 2c 34 0d 03 de 13 |.. "Boxe|s",4....|
|00001b40| dc 20 31 32 30 30 2c 30 | 2c 31 30 30 30 2c 30 0d |. 1200,0|,1000,0.|
|00001b50| 03 e8 1c dc 20 30 2e 35 | 2c 30 2c 30 2c 30 2e 35 |.... 0.5|,0,0,0.5|
|00001b60| 2c 30 2c 30 2e 35 2c 30 | 2e 32 35 0d 03 f2 1d dc |,0,0.5,0|.25.....|
|00001b70| 20 2d 30 2e 35 2c 30 2c | 30 2c 30 2e 35 2c 31 2c | -0.5,0,|0,0.5,1,|
|00001b80| 30 2e 35 2c 30 2e 32 35 | 0d 03 fc 1d dc 20 30 2e |0.5,0.25|..... 0.|
|00001b90| 35 2c 30 2c 30 2c 2d 30 | 2e 35 2c 30 2c 30 2e 35 |5,0,0,-0|.5,0,0.5|
|00001ba0| 2c 30 2e 32 35 0d 04 06 | 22 dc 20 30 2e 33 33 2c |,0.25...|". 0.33,|
|00001bb0| 30 2c 30 2c 30 2e 33 33 | 2c 30 2e 33 33 2c 30 2e |0,0,0.33|,0.33,0.|
|00001bc0| 33 33 2c 30 2e 32 35 0d | 04 10 08 dc 20 25 37 0d |33,0.25.|.... %7.|
|00001bd0| 04 1a 10 dc 20 22 43 68 | 61 6f 73 22 2c 32 30 0d |.... "Ch|aos",20.|
|00001be0| 04 24 0f dc 20 36 30 2c | 30 2c 36 30 2c 30 0d 04 |.$.. 60,|0,60,0..|
|00001bf0| 2e 2a dc 20 30 2e 31 2c | 30 2c 30 2c 30 2e 32 2c |.*. 0.1,|0,0,0.2,|
|00001c00| 31 2c 30 20 20 2c 30 2e | 30 34 3a 52 45 4d 20 43 |1,0  ,0.|04:REM C|
|00001c10| 20 68 6f 72 69 7a 20 32 | 0d 04 38 2a dc 20 30 2e | horiz 2|..8*. 0.|
|00001c20| 31 2c 30 2c 30 2c 30 2e | 32 2c 31 2c 34 20 20 2c |1,0,0,0.|2,1,4  ,|
|00001c30| 30 2e 30 34 3a 52 45 4d | 20 43 20 68 6f 72 69 7a |0.04:REM| C horiz|
|00001c40| 20 32 0d 04 42 29 dc 20 | 30 2c 2d 30 2e 32 2c 30 | 2..B). |0,-0.2,0|
|00001c50| 2e 32 35 2c 30 2c 31 2c | 30 2c 30 2e 30 38 3a 52 |.25,0,1,|0,0.08:R|
|00001c60| 45 4d 20 43 20 76 65 72 | 74 20 35 0d 04 4c 29 dc |EM C ver|t 5..L).|
|00001c70| 20 30 2c 2d 30 2e 32 2c | 30 2e 32 35 2c 30 2c 35 | 0,-0.2,|0.25,0,5|
|00001c80| 2c 30 2c 30 2e 30 38 3a | 52 45 4d 20 48 20 76 65 |,0,0.08:|REM H ve|
|00001c90| 72 74 20 35 0d 04 56 29 | dc 20 30 2c 2d 30 2e 32 |rt 5..V)|. 0,-0.2|
|00001ca0| 2c 30 2e 32 35 2c 30 2c | 37 2c 30 2c 30 2e 30 38 |,0.25,0,|7,0,0.08|
|00001cb0| 3a 52 45 4d 20 48 20 76 | 65 72 74 20 35 0d 04 60 |:REM H v|ert 5..`|
|00001cc0| 2a dc 20 30 2e 30 35 2c | 30 2c 30 2c 30 2e 32 2c |*. 0.05,|0,0,0.2,|
|00001cd0| 35 2c 32 20 2c 30 2e 30 | 32 3a 52 45 4d 20 48 20 |5,2 ,0.0|2:REM H |
|00001ce0| 68 6f 72 69 7a 20 31 0d | 04 6a 2a dc 20 30 2e 31 |horiz 1.|.j*. 0.1|
|00001cf0| 2c 30 2c 30 2c 30 2e 32 | 2c 38 2c 34 20 20 2c 30 |,0,0,0.2|,8,4  ,0|
|00001d00| 2e 30 34 3a 52 45 4d 20 | 41 20 68 6f 72 69 7a 20 |.04:REM |A horiz |
|00001d10| 32 0d 04 74 2a dc 20 30 | 2e 31 2c 30 2c 30 2c 30 |2..t*. 0|.1,0,0,0|
|00001d20| 2e 32 2c 38 2c 32 20 20 | 2c 30 2e 30 34 3a 52 45 |.2,8,2  |,0.04:RE|
|00001d30| 4d 20 41 20 68 6f 72 69 | 7a 20 32 0d 04 7e 2a dc |M A hori|z 2..~*.|
|00001d40| 20 30 2e 31 2c 30 2c 30 | 2c 30 2e 32 2c 39 2c 30 | 0.1,0,0|,0.2,9,0|
|00001d50| 20 20 2c 30 2e 30 34 3a | 52 45 4d 20 41 20 68 6f |  ,0.04:|REM A ho|
|00001d60| 72 69 7a 20 32 0d 04 88 | 29 dc 20 30 2c 2d 30 2e |riz 2...|). 0,-0.|
|00001d70| 32 2c 30 2e 31 2c 30 2c | 39 2c 30 20 2c 30 2e 30 |2,0.1,0,|9,0 ,0.0|
|00001d80| 34 3a 52 45 4d 20 41 20 | 76 65 72 74 20 32 0d 04 |4:REM A |vert 2..|
|00001d90| 92 29 dc 20 30 2c 2d 30 | 2e 32 2c 30 2e 32 2c 30 |.). 0,-0|.2,0.2,0|
|00001da0| 2c 31 31 2c 31 2c 30 2e | 30 37 3a 52 45 4d 20 41 |,11,1,0.|07:REM A|
|00001db0| 20 76 65 72 74 20 34 0d | 04 9c 2a dc 20 30 2e 32 | vert 4.|..*. 0.2|
|00001dc0| 2c 30 2c 30 2c 30 2e 32 | 2c 31 32 2c 30 20 2c 30 |,0,0,0.2|,12,0 ,0|
|00001dd0| 2e 30 37 3a 52 45 4d 20 | 4f 20 68 6f 72 69 7a 20 |.07:REM |O horiz |
|00001de0| 34 0d 04 a6 2a dc 20 30 | 2e 32 2c 30 2c 30 2c 30 |4...*. 0|.2,0,0,0|
|00001df0| 2e 32 2c 31 32 2c 34 20 | 2c 30 2e 30 37 3a 52 45 |.2,12,4 |,0.07:RE|
|00001e00| 4d 20 4f 20 68 6f 72 69 | 7a 20 34 0d 04 b0 2a dc |M O hori|z 4...*.|
|00001e10| 20 30 2c 2d 30 2e 32 2c | 30 2e 31 35 2c 30 2c 31 | 0,-0.2,|0.15,0,1|
|00001e20| 33 2c 31 2c 30 2e 30 35 | 3a 52 45 4d 20 4f 20 76 |3,1,0.05|:REM O v|
|00001e30| 65 72 74 20 33 0d 04 ba | 2a dc 20 30 2c 2d 30 2e |ert 3...|*. 0,-0.|
|00001e40| 32 2c 30 2e 31 35 2c 30 | 2c 31 36 2c 31 2c 30 2e |2,0.15,0|,16,1,0.|
|00001e50| 30 35 3a 52 45 4d 20 4f | 20 76 65 72 74 20 33 0d |05:REM O| vert 3.|
|00001e60| 04 c4 2a dc 20 30 2e 31 | 35 2c 30 2c 30 2c 30 2e |..*. 0.1|5,0,0,0.|
|00001e70| 32 2c 31 37 2c 34 2c 30 | 2e 30 35 3a 52 45 4d 20 |2,17,4,0|.05:REM |
|00001e80| 53 20 68 6f 72 69 7a 20 | 33 0d 04 ce 2a dc 20 30 |S horiz |3...*. 0|
|00001e90| 2e 31 35 2c 30 2c 30 2c | 30 2e 32 2c 31 37 2c 32 |.15,0,0,|0.2,17,2|
|00001ea0| 2c 30 2e 30 35 3a 52 45 | 4d 20 53 20 68 6f 72 69 |,0.05:RE|M S hori|
|00001eb0| 7a 20 33 0d 04 d8 2a dc | 20 30 2e 31 35 2c 30 2c |z 3...*.| 0.15,0,|
|00001ec0| 30 2c 30 2e 32 2c 31 37 | 2c 30 2c 30 2e 30 35 3a |0,0.2,17|,0,0.05:|
|00001ed0| 52 45 4d 20 53 20 68 6f | 72 69 7a 20 33 0d 04 e2 |REM S ho|riz 3...|
|00001ee0| 2a dc 20 30 2e 30 35 2c | 30 2c 30 2c 30 2e 32 2c |*. 0.05,|0,0,0.2,|
|00001ef0| 31 37 2c 33 2c 30 2e 30 | 32 3a 52 45 4d 20 53 20 |17,3,0.0|2:REM S |
|00001f00| 68 6f 72 69 7a 20 31 0d | 04 ec 2a dc 20 30 2e 30 |horiz 1.|..*. 0.0|
|00001f10| 35 2c 30 2c 30 2c 30 2e | 32 2c 31 39 2c 31 2c 30 |5,0,0,0.|2,19,1,0|
|00001f20| 2e 30 32 3a 52 45 4d 20 | 53 20 68 6f 72 69 7a 20 |.02:REM |S horiz |
|00001f30| 31 0d 04 f6 04 0d ff    |                         |1...... |        |
+--------+-------------------------+-------------------------+--------+--------+