Snub tritritetragonal tiling

Snub tritritetragonal tiling
Rank	3
Type	Uniform
Space	Hyperbolic
Notation
Bowers style acronym	Stititet
Coxeter diagram	o8s3s ()
Elements
Faces	8N+12N triangles, 3N squares
Edges	12N+24N
Vertices	12N
Vertex figure	mirror-symmetric hexagon, edge lengths 1, 1, 1, 1, 1, √2
Measures (edge length 1)
Circumradius	≈ 1.28081 i
Related polytopes
Army	Stititet
Regiment	Stititet
Dual	Order 4-3-3 snub dual tiling
Abstract & topological properties
Surface	Hyperbolic plane
Orientable	Yes
Genus	0
Properties
Symmetry	(4,3,3)+
Convex	Yes

The snub tritritetragonal tiling or stititet is a uniform tiling of the hyperbolic plane. 5 triangles and 1 square join at each vertex. It can be formed by alternation of the truncated order-8 triangular tiling, followed by adjustment of edge lengths to be all equal.

Representations

A snub tritritetragonal tiling has the following Coxeter diagrams:

• o8s3s () (full symmetry)
• s3s4s3*a () (half symmetry)

External links

• Klitzing, Richard. "stititet".
• Wikipedia contributors. "Snub tritetratrigonal tiling".