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!AWApr95/Goodies/Draw/!DrawBasic/Library/Logo/Example_4

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 » Archimedes World » AW-1995-04-Disc1.adf » Disk1Apr95
Filename: !AWApr95/Goodies/Draw/!DrawBasic/Library/Logo/Example_4
Read OK:
File size: 0249 bytes
Load address: 0000
Exec address: 0000
File contents
REM Hilbert Space Filling Curve
REM
REM References:
REM
REM      1) "Turtle Geometry" : H.Abelson & A. diSessa pub. MIT  p.93
REM

    levels=6

       
    �Inches
    �PathBegin(path)
    �Turtle(1,2,0)
    �Hilbert(.05,levels,1)
    �PathEnd
    �Quit

END

DEF �Hilbert(size,level,parity)
 IF level<>0 THEN
 �Left(parity*90) : �Hilbert(size,level-1,-parity) : �Forward(size)
 �Right(parity*90) : �Hilbert(size,level-1,parity) : �Forward(size)
 �Hilbert(size,level-1,parity)  : �Right(parity*90) : �Forward(size)
 �Hilbert(size,level-1,-parity) : �Left(parity*90) 
 ENDIF
ENDPROC


00000000  52 45 4d 20 48 69 6c 62  65 72 74 20 53 70 61 63  |REM Hilbert Spac|
00000010  65 20 46 69 6c 6c 69 6e  67 20 43 75 72 76 65 0a  |e Filling Curve.|
00000020  52 45 4d 0a 52 45 4d 20  52 65 66 65 72 65 6e 63  |REM.REM Referenc|
00000030  65 73 3a 0a 52 45 4d 0a  52 45 4d 20 20 20 20 20  |es:.REM.REM     |
00000040  20 31 29 20 22 54 75 72  74 6c 65 20 47 65 6f 6d  | 1) "Turtle Geom|
00000050  65 74 72 79 22 20 3a 20  48 2e 41 62 65 6c 73 6f  |etry" : H.Abelso|
00000060  6e 20 26 20 41 2e 20 64  69 53 65 73 73 61 20 70  |n & A. diSessa p|
00000070  75 62 2e 20 4d 49 54 20  20 70 2e 39 33 0a 52 45  |ub. MIT  p.93.RE|
00000080  4d 0a 0a 20 20 20 20 6c  65 76 65 6c 73 3d 36 0a  |M..    levels=6.|
00000090  0a 20 20 20 20 20 20 20  0a 20 20 20 20 a0 49 6e  |.       .    .In|
000000a0  63 68 65 73 0a 20 20 20  20 a0 50 61 74 68 42 65  |ches.    .PathBe|
000000b0  67 69 6e 28 70 61 74 68  29 0a 20 20 20 20 a0 54  |gin(path).    .T|
000000c0  75 72 74 6c 65 28 31 2c  32 2c 30 29 0a 20 20 20  |urtle(1,2,0).   |
000000d0  20 a0 48 69 6c 62 65 72  74 28 2e 30 35 2c 6c 65  | .Hilbert(.05,le|
000000e0  76 65 6c 73 2c 31 29 0a  20 20 20 20 a0 50 61 74  |vels,1).    .Pat|
000000f0  68 45 6e 64 0a 20 20 20  20 a0 51 75 69 74 0a 0a  |hEnd.    .Quit..|
00000100  45 4e 44 0a 0a 44 45 46  20 a0 48 69 6c 62 65 72  |END..DEF .Hilber|
00000110  74 28 73 69 7a 65 2c 6c  65 76 65 6c 2c 70 61 72  |t(size,level,par|
00000120  69 74 79 29 0a 20 49 46  20 6c 65 76 65 6c 3c 3e  |ity). IF level<>|
00000130  30 20 54 48 45 4e 0a 20  a0 4c 65 66 74 28 70 61  |0 THEN. .Left(pa|
00000140  72 69 74 79 2a 39 30 29  20 3a 20 a0 48 69 6c 62  |rity*90) : .Hilb|
00000150  65 72 74 28 73 69 7a 65  2c 6c 65 76 65 6c 2d 31  |ert(size,level-1|
00000160  2c 2d 70 61 72 69 74 79  29 20 3a 20 a0 46 6f 72  |,-parity) : .For|
00000170  77 61 72 64 28 73 69 7a  65 29 0a 20 a0 52 69 67  |ward(size). .Rig|
00000180  68 74 28 70 61 72 69 74  79 2a 39 30 29 20 3a 20  |ht(parity*90) : |
00000190  a0 48 69 6c 62 65 72 74  28 73 69 7a 65 2c 6c 65  |.Hilbert(size,le|
000001a0  76 65 6c 2d 31 2c 70 61  72 69 74 79 29 20 3a 20  |vel-1,parity) : |
000001b0  a0 46 6f 72 77 61 72 64  28 73 69 7a 65 29 0a 20  |.Forward(size). |
000001c0  a0 48 69 6c 62 65 72 74  28 73 69 7a 65 2c 6c 65  |.Hilbert(size,le|
000001d0  76 65 6c 2d 31 2c 70 61  72 69 74 79 29 20 20 3a  |vel-1,parity)  :|
000001e0  20 a0 52 69 67 68 74 28  70 61 72 69 74 79 2a 39  | .Right(parity*9|
000001f0  30 29 20 3a 20 a0 46 6f  72 77 61 72 64 28 73 69  |0) : .Forward(si|
00000200  7a 65 29 0a 20 a0 48 69  6c 62 65 72 74 28 73 69  |ze). .Hilbert(si|
00000210  7a 65 2c 6c 65 76 65 6c  2d 31 2c 2d 70 61 72 69  |ze,level-1,-pari|
00000220  74 79 29 20 3a 20 a0 4c  65 66 74 28 70 61 72 69  |ty) : .Left(pari|
00000230  74 79 2a 39 30 29 20 0a  20 45 4e 44 49 46 0a 45  |ty*90) . ENDIF.E|
00000240  4e 44 50 52 4f 43 0a 0a  0a                       |NDPROC...|
00000249