Hyperbolic Rep Tile

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Hyperbolic Rep Tile Examples

Fractal: Hyperbolic Rep Tile

Hyperbolic Rep Tile 01

Fractal: Hyperbolic Rep Tile

Hyperbolic Rep Tile 02

Fractal: Hyperbolic Rep Tile

Hyperbolic Rep Tile 03

Fractal: Hyperbolic Rep Tile

Hyperbolic Rep Tile 04

Fractal: Hyperbolic Rep Tile

Hyperbolic Rep Tile 05

Fractal: Hyperbolic Rep Tile

Hyperbolic Rep Tile 06

Fractal: Hyperbolic Rep Tile

Hyperbolic Rep Tile 07

Fractal: Hyperbolic Rep Tile

Hyperbolic Rep Tile 08

Fractal: Hyperbolic Rep Tile

Hyperbolic Rep Tile 09

Fractal: Hyperbolic Rep Tile

Hyperbolic Rep Tile 10

Fractal: Hyperbolic Rep Tile

Hyperbolic Rep Tile 12

Fractal: Hyperbolic Rep Tile

Hyperbolic Rep Tile 13

Fractal: Hyperbolic Rep Tile

Hyperbolic Rep Tile 14

Fractal: Hyperbolic Rep Tile

Hyperbolic Rep Tile 15

Fractal: Hyperbolic Rep Tile

Hyperbolic Rep Tile 17

Fractal: Hyperbolic Rep Tile

Hyperbolic Rep Tile 18

Fractal: Hyperbolic Rep Tile

Hyperbolic Rep Tile 19

Fractal: Hyperbolic Rep Tile

Hyperbolic Rep Tile 20

The Hyperbolic Rep Tile examples display a fractal generated from one of the Rep-9 Tile examples in the context of the Symmetry Transformation Hyperbolic Tiling - Orbital.

The Rep-9 Tile examples are 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 Rep-Tile for a brief description and Stewart R. Hinsley's site and Steven Dutch's Rep-Tiles site for additional details on Rep-Tiles. I learned about Rep-Tiles from Rep-Tiles: Replicating Figures on the Plane, chapter 19 of the book The Unexpected Hanging and Other Mathematical Diversions by Martin Gardner.

 

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