Euclidean tilings by convex regular polygons

Example periodic tilings

A regular tiling has one type of regular face.
A semiregular or uniform tiling has one type of vertex, but two or more types of faces.

A k-uniform tiling has k types of vertices, and two or more types of regular faces.
A non-edge-to-edge tiling can have different-sized regular faces.

Euclidean plane tilings by convex regular polygons have been widely used since antiquity. The first systematic mathematical treatment was that of Kepler in his Harmonice Mundi (Latin: The Harmony of the World, 1619).

This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.