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I was waiting for another one of these posts ;-) Rule 90 will generate Sierpinski's sieve (but then, you can in turn generate that from Pascal's triangle (mod 2)).

#!/usr/bin/perl -w use strict; my ($file, %rules, $string, $rewrite, $angle, $i); $file = "gosper"; # Peano-Gosper curve. $rules{"X"} = "X+YF++YF-FX--FXFX-YF+"; $rules{"Y"} = "-FX+YFYF++YF+FX--FX-Y"; $string = "FX"; $angle = 60; $i = 4; foreach (1..$i) { $rewrite = ""; for (split //,$string) { $rewrite .= $rules{$_} || $_; } $string = $rewrite; } open PS,">$"; print PS "%#\n\n"; print PS "306 396 moveto\n"; for my $ch (split //,$string) { if ($ch eq 'f') { print PS "0 1 rlineto\n"; } elsif ($ch eq 'F') { print PS "0 1 rmoveto\n"; } elsif ($ch eq '+') { print PS "360 $angle rotate\n"; } elsif ($ch eq '-') { print PS "360 $angle neg rotate\n"; } elsif ($ch eq '!') { print PS "-1 1 scale\n"; } elsif ($ch eq '[') { print PS "gsave\n"; } elsif ($ch eq ']') { print PS "stroke\ngrestore\n"; } } print PS "stroke\nshowpage"; close PS;

Note that you need to replace uppercase F with lowercase f to turn on the 'pen'.

In reply to Re: 1-D Cellular Automata by gumby
in thread 1-D Cellular Automata by YuckFoo

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