Home » Archimedes archive » Acorn User » AU 1998-06 A.adf » Regulars » StarInfo/Brobecker/DevilCurve

StarInfo/Brobecker/DevilCurve

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 1998-06 A.adf » Regulars
Filename: StarInfo/Brobecker/DevilCurve
Read OK:
File size: 020A bytes
Load address: 0000
Exec address: 0000
File contents
   10REM>>> Devil's curve
   20REM    Alain BROBECKER (baah/Arm's Tech) on 12-Dec-1997
   30REMDevil's curve function is based upon Cantor's set,
   40REMit is everywhere continuous, nowhere differenciable.
   50MODE12:OFF
   60FOR i=1 TO 7
   70 GCOL i
   80 PROCdevil(i,0,0,1279,1023)
   90 IFGET
  100NEXT
  110END
  120
  130DEFPROCdevil(depth,x1,y1,x2,y2)
  140 IFdepth=0THEN
  150  LINEx1,y1,x2,y2
  160 ELSE
  170  PROCdevil(depth-1,x1,y1,(2*x1+x2)/3,(y1+2*y2)/3)
  180  PROCdevil(depth-1,(2*x1+x2)/3,(y1+2*y2)/3,(x1+2*x2)/3,(2*y1+y2)/3)
  190  PROCdevil(depth-1,(x1+2*x2)/3,(2*y1+y2)/3,x2,y2)
  200 ENDIF
  210ENDPROC

�>>> Devil's curve
9�    Alain BROBECKER (baah/Arm's Tech) on 12-Dec-1997
7�Devil's curve function is based upon Cantor's set,
(9�it is everywhere continuous, nowhere differenciable.
2	�12:�
<
� i=1 � 7
F � i
P �devil(i,0,0,1279,1023)
Z �
d�
n�
x
���devil(depth,x1,y1,x2,y2)
� �depth=0�
�  �x1,y1,x2,y2
� �
�3  �devil(depth-1,x1,y1,(2*x1+x2)/3,(y1+2*y2)/3)
�E  �devil(depth-1,(2*x1+x2)/3,(y1+2*y2)/3,(x1+2*x2)/3,(2*y1+y2)/3)
�3  �devil(depth-1,(x1+2*x2)/3,(2*y1+y2)/3,x2,y2)
� �
��
�
00000000  0d 00 0a 16 f4 3e 3e 3e  20 44 65 76 69 6c 27 73  |.....>>> Devil's|
00000010  20 63 75 72 76 65 0d 00  14 39 f4 20 20 20 20 41  | curve...9.    A|
00000020  6c 61 69 6e 20 42 52 4f  42 45 43 4b 45 52 20 28  |lain BROBECKER (|
00000030  62 61 61 68 2f 41 72 6d  27 73 20 54 65 63 68 29  |baah/Arm's Tech)|
00000040  20 6f 6e 20 31 32 2d 44  65 63 2d 31 39 39 37 0d  | on 12-Dec-1997.|
00000050  00 1e 37 f4 44 65 76 69  6c 27 73 20 63 75 72 76  |..7.Devil's curv|
00000060  65 20 66 75 6e 63 74 69  6f 6e 20 69 73 20 62 61  |e function is ba|
00000070  73 65 64 20 75 70 6f 6e  20 43 61 6e 74 6f 72 27  |sed upon Cantor'|
00000080  73 20 73 65 74 2c 0d 00  28 39 f4 69 74 20 69 73  |s set,..(9.it is|
00000090  20 65 76 65 72 79 77 68  65 72 65 20 63 6f 6e 74  | everywhere cont|
000000a0  69 6e 75 6f 75 73 2c 20  6e 6f 77 68 65 72 65 20  |inuous, nowhere |
000000b0  64 69 66 66 65 72 65 6e  63 69 61 62 6c 65 2e 0d  |differenciable..|
000000c0  00 32 09 eb 31 32 3a 87  0d 00 3c 0d e3 20 69 3d  |.2..12:...<.. i=|
000000d0  31 20 b8 20 37 0d 00 46  08 20 e6 20 69 0d 00 50  |1 . 7..F. . i..P|
000000e0  1c 20 f2 64 65 76 69 6c  28 69 2c 30 2c 30 2c 31  |. .devil(i,0,0,1|
000000f0  32 37 39 2c 31 30 32 33  29 0d 00 5a 07 20 e7 a5  |279,1023)..Z. ..|
00000100  0d 00 64 05 ed 0d 00 6e  05 e0 0d 00 78 04 0d 00  |..d....n....x...|
00000110  82 1e dd f2 64 65 76 69  6c 28 64 65 70 74 68 2c  |....devil(depth,|
00000120  78 31 2c 79 31 2c 78 32  2c 79 32 29 0d 00 8c 0e  |x1,y1,x2,y2)....|
00000130  20 e7 64 65 70 74 68 3d  30 8c 0d 00 96 12 20 20  | .depth=0.....  |
00000140  86 78 31 2c 79 31 2c 78  32 2c 79 32 0d 00 a0 06  |.x1,y1,x2,y2....|
00000150  20 cc 0d 00 aa 33 20 20  f2 64 65 76 69 6c 28 64  | ....3  .devil(d|
00000160  65 70 74 68 2d 31 2c 78  31 2c 79 31 2c 28 32 2a  |epth-1,x1,y1,(2*|
00000170  78 31 2b 78 32 29 2f 33  2c 28 79 31 2b 32 2a 79  |x1+x2)/3,(y1+2*y|
00000180  32 29 2f 33 29 0d 00 b4  45 20 20 f2 64 65 76 69  |2)/3)...E  .devi|
00000190  6c 28 64 65 70 74 68 2d  31 2c 28 32 2a 78 31 2b  |l(depth-1,(2*x1+|
000001a0  78 32 29 2f 33 2c 28 79  31 2b 32 2a 79 32 29 2f  |x2)/3,(y1+2*y2)/|
000001b0  33 2c 28 78 31 2b 32 2a  78 32 29 2f 33 2c 28 32  |3,(x1+2*x2)/3,(2|
000001c0  2a 79 31 2b 79 32 29 2f  33 29 0d 00 be 33 20 20  |*y1+y2)/3)...3  |
000001d0  f2 64 65 76 69 6c 28 64  65 70 74 68 2d 31 2c 28  |.devil(depth-1,(|
000001e0  78 31 2b 32 2a 78 32 29  2f 33 2c 28 32 2a 79 31  |x1+2*x2)/3,(2*y1|
000001f0  2b 79 32 29 2f 33 2c 78  32 2c 79 32 29 0d 00 c8  |+y2)/3,x2,y2)...|
00000200  06 20 cd 0d 00 d2 05 e1  0d ff                    |. ........|
0000020a