I was looking at the von Neumann integer generator here; http://bmanolov.free.fr/von-neumann-integer-gen.php generated a string; {{},{{}},{{},{{}}},{{},{{}},{{},{{}}}},{{},{{}},{{},{{}}},{{},{{}},{{},{{}}}}}} replaced { with L (left turn and stroke) replaced } with R (right turn and stroke) (ignored the commas) got this; L L R L L R R L L R L L R R R L L R L L R R L L R L L R R R R L L R L L R R L L R L L R R R L L R L L R R L L R L L R R R R R R wrote a little postscript program to see what it would like like as a path; %! /inch {72 mul} def /L {90 rotate 30 0 rlineto } def /R {-90 rotate 30 0 rlineto} def .1 setlinewidth newpath -4 inch -4 inch moveto L L R L L R R L L R L L R R R L L R L L R R L L R L L R R R R L L R L L R R L L R L L R R R L L R L L R R L L R L L R R R R R R stroke showpage seemed to be a fractal dragon of some sort. after doing it for higher integers, found it was the Levy C curve. Stuart
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Message: 5 Date: Tue, 10 Mar 2015 21:33:00 -0400 From: Allan Wechsler <acwacw@gmail.com> To: math-fun <math-fun@mailman.xmission.com> Subject: [math-fun] Structure of the Levy C-Curve