Snub hexagonal tiling

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Snub hexagonal tiling

In geometryGeometry

Geometry arose as the field of knowledge dealing with spatial relationships....
, the Snub hexagonal tiling (or snub trihexagonal tiling) is a semiregular tiling of the Euclidean plane. There are four triangles and one hexagon on each vertexVertex (geometry) Summary

In geometry, a vertex is a special kind of point....
. It has Schläfli symbolFacts About Schläfli symbol

In mathematics, the Schlfli symbol is a simple notation that gives a summary of some important properties of a particular re...
of s.

ConwayJohn Horton Conway

John Horton Conway is a prolific mathematician active in the theory of finite groups, knot theory, number theory, combinato...
calls it a snub hexatille.

There are 3 regular and 8 semiregular tilings in the plane. This is the only one of the semiregular tilings which does not have a reflection as a symmetry.

This tiling is part of sequence of snubbedSnub (geometry)

A snub is an operation on a polyhedron which fully truncates alternate vertices....
polyhedra with vertex figure (3.3.3.3.p) and Coxeter-Dynkin diagramCoxeter-Dynkin diagram

In geometry, a Coxeter-Dynkin diagram is a graph representing a relational set of mirror in space for a kaleidoscopic constr...
.

(3.3.3.3.3)Icosahedron

An icosahedron noun isa polyhedron having 20 faces, but usually a regular icosahedron is meant, which has face...

(3.3.3.3.4)Snub cube

The snub cube, or snub cuboctahedron, is an Archimedean solid....

(3.3.3.3.5)Snub dodecahedron

The snub dodecahedron, or snub icosidodecahedron, is an Archimedean solid....

3.3.3.3.6

3.3.3.3.7

There is only one uniform coloring of a snub hexagonal tiling. (Naming the colors by indices (3.3.3.3.6): 11213.)

Snub hexagonal tiling

See also