Last modified on 26 August 2013, at 14:34

Category:Uniform tilings

Main category: Tilings-db

In geometry, a uniform tiling is a tessellation of the plane (or n–dimensional space) by regular polygon faces (or n–polytopes) with the restriction of being vertex-uniform.

Tiling is vertex-uniform if, loosely speaking, all its vertices are the same. That implies that each vertex is surrounded by the same kinds of face in the same or reverse order, and with the same angles between corresponding faces.

Uniform tilings can exist in both the Euclidean space and hyperbolic space. Uniform tilings are related to the finite uniform polyhedra which can be considered uniform tilings of the sphere.

Subcategories

This category has the following 12 subcategories, out of 12 total.