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Submitted: December 15, 2011
Image Size: 1.0 MB
Resolution: 900×900

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Hyperbolic Rep Tile 08by ~rosshilbert

Digital Art / Fractal Art / Raw Fractals

A hyperbolic transformation applied to a Rep-Tile IFS fractal formed from a set of Affine transformations.

The method used to produce this image is based on Rep-N Tile attractors. The term Rep-Tile (replicating figures on the plane) was coined by mathematician Solomon W. Golomb in 1962. See the Rep-Tile page at [link] for a brief description.

Created with the Fractal Science Kit fractal generator. See [link] for details.

*fraterchaos Dec 20, 2012 Hobbyist Digital Artist

very nicely done!

~rosshilbert Dec 21, 2012

Thank you

*fraterchaos Dec 21, 2012 Hobbyist Digital Artist

quite welcome my friend

*cyberxaos Dec 17, 2011

Thanks for the info on Rep- tiles. I knew what they were, from my fractal explorations, but I had no idea what they were called!

~rosshilbert Dec 17, 2011

I learned about Rep-Tiles in the book "The Unexpected Hanging and Other Mathematical Diversions" by Martin Gardner, Chapter 19 "Rep-Tiles: Replicating Figures on the Plane."

Stewart R. Hinsley's "Rep-Tiles" site [link] has lots of info about Rep-Tile based attractors.

*cyberxaos Dec 18, 2011

Thanks for the references!

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