Algorithmic worlds 


Search blog posts20110413 Play with Ducks 20110331 Karl Blossfeldt 20110330 Algorithmic jewellery 20110319 Piling Ducks 20110306 Greco de Ruijter 20110305 Fractal columns 20110228 Kaleidoscopic IFS 20110227 Ducks and butterflies 20110218 Geological artwork 20110217 Fractal expressionism 
BlogA blog about algorithmic art and fractal aesthetic. Click here to subscribe to the RSS feed. April 13th 2011 Play with DucksI 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 Mandelbrottype formula to find nice patterns among the Juliatype 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...
201103311 In case you don't own Ultra Fractal, Syntopia also implemented the Ducks algorithm in his free fractal program, Fragmentarium. He created a few variations of his own as well. Works using the Ducks algorithm can be checked here..


