# Ditrigonary tritetragonal tiling

Ditrigonary tritetragonal tiling
Rank3
TypeUniform
SpaceHyperbolic
Notation
Bowers style acronymDittitecat
Coxeter diagramx3o3o4*a ()
Elements
Faces4N triangles, 3N squares
Edges12N
Vertices4N
Vertex figureDitrigon, edge lengths 1 and 2
Measures (edge length 1)
Circumradius${\displaystyle \sqrt{\frac{-3\sqrt2}{8}} ≈ 0.72824 i}$
Related polytopes
ArmyDittiticat
RegimentDittiticat
Abstract & topological properties
SurfaceSphere
OrientableYes
Genus0
Properties
Symmetry(4,3,3)
ConvexYes

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

## Related polytopes

o4o3o3*a truncations
Name OBSA CD diagram Picture
Ditrigonary tritetragonal tiling
Order-8 triangular tiling
Trioctagonal tiling
Rectified ditrigonary tritetragonal tiling
Truncated order-8 triangular tiling
Snub tritritetragonal tiling