Continuous Aperiodic Tiles

This page is not about Penrose Tiles. This page is about tiles that can fill a plan aperiodically but that cannot be forced into aperiodicity (but that can be forced into periodicity). Furthermore, it is about tiles that can singly fill a plan. Example:

Triangular example.

The figure below shows a set of tile shapes that fullfill these requirements.

Set of shapes.

Note that the shape on the upper right corner is a pentagon.

L. Nobre G.
Last modified: Fri Apr 13 15:45:00 WEST 2012