Penrose Tiling | Flickr - Photo Sharing!

The smallest number of different tiles needed to create a non-periodic or non-repeating pattern.

Penrose tiling based on diamonds with phi, golden ratio, proportions in their height and width dimensions

Penrose tiling based on diamonds with phi, golden ratio, proportions in their height and width dimensions

If I'm going to make my own tiles, they might as well be Penrose Tiles.  Crazy you say? Well, if I'm not now, then I probably will be afterwards!

If I'm going to make my own tiles, they might as well be Penrose Tiles. Well, if I'm not now, then I probably will be afterwards!

Penrose tiling are constructed from two tiles, with very specific shapes, illustrated on the left. Each tile is a rhombus or "rhomb" for short. The thin rhomb has angles of 36 and 144 degrees. The thick rhomb has angles of 72 and 108 degrees.

Introduction to Penrose tilings with link to Quasitiler - Penrose tiling generating webware.

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