Category:Penrose Tiles

This category contains results about Penrose Tiles.
Definitions specific to this category can be found in Definitions/Penrose Tiles.

The Penrose tiles are two tiles whose rules of combination make them such that they cannot make a periodic tiling, but can make aperiodic tilings:

They both have:

$2$ sides of length $1$

$2$ sides of length $\phi = \dfrac {1 + \sqrt 5} 2$ (the golden mean)

The vertices are marked as shown.

To form a Penrose tiling, the vertices must match.