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2011-04-13 Play with Ducks
2011-03-31 Karl Blossfeldt
2011-03-30 Algorithmic jewellery
2011-03-19 Piling Ducks
2011-03-06 Greco de Ruijter
2011-03-05 Fractal columns
2011-02-28 Kaleidoscopic IFS
2011-02-27 Ducks and butterflies
2011-02-18 Geological artwork
2011-02-17 Fractal expressionism
April 13th 2011
Play with Ducks
I released a public version of the Ducks algorithm for Ultra Fractal. Simply make sure your collection of public formulas is up to date and look for the Ducks formulas in the file sam.ufm. This formula is meant to be used with an "inside" coloring. For instance Statistics in lkm.ucl works well. Use the switch feature with the Mandelbrot-type formula to find nice patterns among the Julia-type fractals.
The version I implemented is a bit more general than the one I described on this blog. One notable extra feature is that it allows to replace the mirror folding by a general dihedral symmetry, what can create somewhat different patterns. For instance the image below uses a dihedral symmetry D2 instead of a simple mirror. You can recognize local D2 symmetries between the groups of four blobs, while regular Ducks patterns only exhibit local mirror symmetries. The difference is more obvious with groups Dn with n large, but I haven't had time to really start exploring them...
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