Rep-9 Tile

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Rep-9 Tile Examples

Ferris Wheel Rep-9 Tile 01	Optical Illusion Rep-9 Tile 02	Planes in Perspective Rep-9 Tile 03
Cubic Snowflake Rep-9 Tile 04	Exploded Diagram Rep-9 Tile 05	Navajo Tapestry Rep-9 Tile 06
Chaotic Floorplan Rep-9 Tile 07	Persian Tile Rep-9 Tile 08	King's Cross Rep-9 Tile 09
Rubies and Gold Rep-9 Tile 10	Fractal Embroidery Rep-9 Tile 11	Royal Cross Rep-9 Tile 12
Byzantine Tile Rep-9 Tile 13	Square Quilt Rep-9 Tile 14	Shadowbox Rep-9 Tile 15
Spinning Star Rep-9 Tile 16	Borg Cube Rep-9 Tile 17	Starflake Rep-9 Tile 18
Hex Quilt Rep-9 Tile 19	Hex Tile Rep-9 Tile 20	Mandala I Rep-9 Tile 21
Mandala II Rep-9 Tile 22	Mandala III Rep-9 Tile 23	Star Quilt I Rep-9 Tile 24
Mayan Sun I Rep-9 Tile 25	Mayan Sun II Rep-9 Tile 26	Autumn Sun I Rep-9 Tile 27
Mandala IV Rep-9 Tile 28	Star Quilt II Rep-9 Tile 29	Autumn Sun II Rep-9 Tile 30
Gear Quilt Rep-9 Tile 31	Flower Quilt Rep-9 Tile 32

The Rep-9 Tile examples display a Rep-Tile based on a set of Affine Transformations.

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 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.