Snub square prismatic honeycomb

Snub square prismatic honeycomb
Rank	4
Type	uniform
Space	Euclidean
Notation
Bowers style acronym	Sassiph
Coxeter diagram	x∞o s4s4o
Elements
Cells	2N triangular prisms, N cubes
Faces	2N triangles, N+N+4N squares
Edges	N+2N+4N
Vertices	2N
Vertex figure	Mirror-symmetric pentagonal tegum, edge lengths 1 (two non-adjacent equatorial edges) and √2 (remaining edges)
Related polytopes
Army	Sassiph
Regiment	Sassiph
Dual	Cairo pentagonal prismatic honeycomb
Conjugate	Retrosnub square prismatic honeycomb
Abstract & topological properties
Orientable	Yes
Properties
Symmetry	R3+❘W2
Convex	Yes

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

A snub square prismatic honeycomb has the following Coxeter diagrams:

• x∞o s4s4o
• x∞x s4s4o
• x∞o s4s4s
• x∞x s4s4s

External links

• Klitzing, Richard. "sassiph".

• Wikipedia Contributors. "Snub square prismatic honeycomb".