Small rhombitrihexagonal prismatic honeycomb

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Small rhombitrihexagonal prismatic honeycomb
Rank4
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymSrothaph
Coxeter diagramx∞o2x6o3x ()
Elements
Cells2N triangular prisms, 3N cubes, N hexagonal prisms
Faces2N triangles, 3N+6N+6N squares, N hexagons
Edges6N+6N+6N
Vertices6N
Vertex figureIsosceles trapezoidal tegum, edge lengths 1 and 3 (bases of trapezoid) and 2 (remaining edges)
Related polytopes
ArmySrothaph
RegimentSrothaph
DualDeltoidal prismatic honeycomb
ConjugateQuasirhombitrihexagonal prismatic honeycomb
Abstract & topological properties
OrientableYes
Properties
SymmetryV3❘W2
ConvexYes
NatureTame

The small rhombitrihexagonal prismatic honeycomb, or srothaph, also known as the rhombitrihexagonal prismatic honeycomb, is a convex uniform honeycomb. 2 triangular prisms, 4 cubes, and 2 hexagonal prisms join at each vertex of this honeycomb. As the name suggests, it is the honeycomb product of the small rhombitrihexagonal tiling and the apeirogon.

Representations[edit | edit source]

A small rhombitrihexagonal prismatic honeycomb has the following Coxeter diagrams:

  • x∞o2x6o3x ()
  • x∞x2x6o3x ()
  • x∞o2x6s3s ()
  • x∞x2x6s3s ()

External links[edit | edit source]