The somewhat famous Penrose Tiles are also Phi Proportional - discovered by mathematician Roger Penrose in the 1960s - they are one of the only ways to tile a plane with pentagonal symmetry

The somewhat famous Penrose Tiles are also Phi Proportional - discovered by mathematician Roger Penrose in the - they are one of the only ways to tile a plane with pentagonal symmetry

Read the Wikipedia page to learn about the remarkable properties of Penrose tilings. http://en.wikipedia.org/wiki/Penrose_tiling

Submitted by Nakedgeometry: “ How to Construct the Penrose Tiles. ” Read the Wikipedia page to learn about the remarkable properties of Penrose tilings.

Gallery : Penrose tilings What if I made this and then appliqued it over a 3D background for my Illusions Quilt?

Gallery : Penrose tilings What if I made this and then appliqued it over a background for my Illusions Quilt?

A 'pure' Penrose tiling, an aperiodic tiling of great beauty

Another nice consequence is that we can now explain the local isomorphism property of Penrose tilings geometrically as a consequence of the fact that the .

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