Ditrigonary tritetragonal tiling

From Polytope Wiki
Jump to navigation Jump to search
Ditrigonary tritetragonal tiling
Rank3
TypeUniform
SpaceHyperbolic
Notation
Bowers style acronymDittitecat
Coxeter diagramx4o3o3*a ()
Elements
Faces4N triangles, 3N squares
Edges12N
Vertices4N
Vertex figureDitrigon, edge lengths 1 and 2
Measures (edge length 1)
Circumradius
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[edit | edit source]

A ditrigonary tritetragonal tiling has the following Coxeter diagrams:

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

Gallery[edit | edit source]

External links[edit | edit source]