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December 15, 2011
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Hyperbolic Rep Tile 08 by rosshilbert Hyperbolic Rep Tile 08 by rosshilbert
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.
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:iconfraterchaos:
fraterchaos Featured By Owner Dec 20, 2012  Hobbyist Digital Artist
very nicely done!
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:iconrosshilbert:
rosshilbert Featured By Owner Dec 21, 2012
Thank you :-)
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:iconfraterchaos:
fraterchaos Featured By Owner Dec 21, 2012  Hobbyist Digital Artist
quite welcome my friend :)
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:iconcyberxaos:
cyberxaos Featured By Owner 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!
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:iconrosshilbert:
rosshilbert Featured By Owner 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.
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:iconcyberxaos:
cyberxaos Featured By Owner Dec 18, 2011
Thanks for the references!
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