Gyrated triangular prismatic honeycomb

Gyrated triangular prismatic honeycomb
Rank	4
Type	uniform
Space	Euclidean
Notation
Bowers style acronym	Gytoph
Elements
Cells	2N triangular prisms
Faces	2N triangles, N+2N squares
Edges	2N+2N
Vertices	N
Vertex figure	Snub disphenoid, edge lengths 1 and √2
Related polytopes
Army	Gytoph
Regiment	Gytoph
Dual	Elongated gyrobifastigial honeycomb
Conjugate	None
Abstract & topological properties
Orientable	Yes
Properties
Symmetry	W2❘W2❘W2+
Convex	Yes
Nature	Tame

The gyrated triangular prismatic honeycomb, or gytoph, is a convex noble uniform honeycomb. 12 triangular prisms join at each vertex of this honeycomb.

This honeycomb can be formed from the triangular prismatic honeycomb by rotating alternating layers of triangular prisms by 90°, in a similar way to the gyrobifastigium. Its vertex figure can be constructed from the hexagonal tegum vertex figure of the triangular prismatic honeycomb by cutting it in half along an equatorial square and rotating one half by 90°.

External links

• Klitzing, Richard. "gytoph".
• Wikipedia contributors. "Gyrated triangular prismatic honeycomb".