Rectified ditrigonary tritetragonal tiling

Rectified ditrigonary tritetragonal tiling
Rank	3
Type	Uniform
Space	Hyperbolic
Notation
Bowers style acronym	Sittitetrat
Coxeter diagram	x3x3o4*a ()
Elements
Faces	4N triangles, 3N squares, 4N hexagons
Edges	12N+12N
Vertices	12N
Vertex figure	Isosceles trapezoid, edge lengths 1, √3, √2, √3
Measures (edge length 1)
Circumradius	$\sqrt{\frac{-4-9\sqrt2}{8}} \approx 1.44603 i$
Related polytopes
Army	Sittitetrat
Regiment	Sittitetrat
Abstract & topological properties
Surface	Sphere
Orientable	Yes
Genus	0
Properties
Symmetry	(4,3,3)
Convex	Yes

The rectified ditrigonary tritetragonal tiling', shieldotritetragonal tiling, small tritetatrigonal tiling, sittitetrat, or cantic octagonal tiling is a uniform tiling of the hyperbolic plane. 1 triangle, 1 square, and 2 hexagons join at each vertex.

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

Representations

This tiling has the following Coxeter diagram representations:

• x3x3o4*a () (rectified ditrigonary tritetragonal tiling)
• s8o3x () (cantic octagonal tiling)

External links

• Klitzing, Richard. "sittitetrat".

• Wikipedia Contributors. "Cantic octagonal tiling".