How was the fractal generated? The primordia of a Helianthus sunflower are positioned at sqrt(n)*exp(2*pi*i*n/phi) or sqrt(n)*exp(2*pi*i*n/phi²), depending on whether you want a clockwise or anticlockwise sunflower. Sincerely, Adam P. Goucher

at Friday's Celebration of Mind (Stanford instance) presented some of his mechanical sculptures<http://www.stanford.edu/%7Eedmark/PhotoGallery/gallery-in-page.html>and some Fibonacci spiral results, prompting Julian Saturday to make http://gosper.org/8,13 Fibonacci spirals color wheel.png http://gosper.org/8,13 Fibonacci spirals hexacolor.png http://gosper.org/8,13 Fibonacci spirals tricolor.png http://gosper.org/13,21 Fibonacci spirals color wheel.png http://gosper.org/Fibonacci spiral fractal.png During that same marathon session, he generalized my(?) four-piece triangle interdissection <http://gosper.org/shardway.PNG> to a double continuum<http://gosper.org/hinged%20triangle%20dissection.gif>, as well as producing a dyadic fractal explorer that we tweaked to find a deformation<http://gosper.org/levymovy.gif>of Levy's "C" curve (which I once thought was mine) to a Hilbertoid 1 by rt2 rectangle fill that needs only a two way recursion instead of four. --rwg _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun