Snub square prismatic honeycomb

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Snub square prismatic honeycomb
Rank4
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymSassiph
Coxeter diagramx∞o2s4s4o ()
Elements
Cells2N triangular prisms, N cubes
Faces2N triangles, N+N+4N squares
EdgesN+2N+4N
Vertices2N
Vertex figureMirror-symmetric pentagonal tegum, edge lengths 1 (two non-adjacent equatorial edges) and 2 (remaining edges)
Related polytopes
ArmySassiph
RegimentSassiph
DualCairo pentagonal prismatic honeycomb
ConjugateRetrosnub square prismatic honeycomb
Abstract & topological properties
OrientableYes
Properties
SymmetryR3+❘W2
ConvexYes
NatureTame

The snub square prismatic honeycomb, or sassiph, is a convex uniform honeycomb. 4 cubes and 6 triangular prisms join at each vertex of this honeycomb. As the name suggests, it is the honeycomb product of the snub square tiling and the apeirogon.

Representations[edit | edit source]

A snub square prismatic honeycomb has the following Coxeter diagrams:

  • x∞o2s4s4o ()
  • x∞x2s4s4o ()
  • x∞o2s4s4s ()
  • x∞x2s4s4s ()

External links[edit | edit source]