Trihexagonal prismatic honeycomb
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|Trihexagonal prismatic honeycomb|
|Bowers style acronym||Thiph|
|Coxeter diagram||x∞o o6x3o|
|Cells||2N triangular prisms, N hexagonal prisms|
|Faces||2N triangles, 6N squares, N hexagons|
|Vertex figure||Rectangular tegum, edge lengths 1 and √3 (equatorial) and √2 (sides)|
|Dual||Rhombic prismatic honeycomb|
|Abstract & topological properties|
The trihexagonal prismatic honeycomb, or thiph, is a convex uniform honeycomb. 4 triangular prisms and 4 hexagonal prisms join at each vertex of this honeycomb. As the name suggests, it is the honeycomb product of the trihexagonal tiling and the apeirogon.
Vertex coordinates[edit | edit source]
The vertices of a trihexagonal prismatic honeycomb of edge length 1 are given by:
Where i, j, and k range over the integers.
Representations[edit | edit source]
A trihexagonal prismatic honeycomb has the following Coxeter diagrams:
- x∞o o6x3o
- x∞x o6x3o
- x∞o x3x3o3*a
- x∞x x3x3o3*a
External links[edit | edit source]
- Klitzing, Richard. "thiph".
- Wikipedia Contributors. "Trihexagonal prismatic honeycomb".