Ditrigonary tritetragonal tiling

Ditrigonary tritetragonal tiling
Rank	3
Type	Uniform
Space	Hyperbolic
Notation
Bowers style acronym	Dittitecat
Coxeter diagram	x3o3o4*a ()
Elements
Faces	4N triangles, 3N squares
Edges	12N
Vertices	4N
Vertex figure	Ditrigon, edge lengths 1 and √2
Measures (edge length 1)
Circumradius	$\sqrt{\frac{-3\sqrt2}{8}} ≈ 0.72824 i$
Related polytopes
Army	Dittiticat
Regiment	Dittiticat
Abstract & topological properties
Surface	Sphere
Orientable	Yes
Genus	0
Properties
Symmetry	(4,3,3)
Convex	Yes

The ditrigonary tritetragonal tiling or dittitecat is a uniform tiling of the hyperbolic plane. 3 triangles and 3 squares join at each vertex.

It is also called the alternated octagonal tiling, as it can be formed by alternation of the octagonal tiling.

It is based on the (4,3,3) triangle group.

Representations

A ditrigonary tritetragonal tiling has the following Coxeter diagrams:

• x3o3o4*a (full symmery)
• s8o3o (as alternated octagonal tiling)
• o8s4s
• s4s4s4*a

External links

• Klitzing, Richard. "dittitecat".

• Wikipedia Contributors. "Alternated octagonal tiling".