Triangular duoprismatic tetracomb

Triangular duoprismatic tetracomb
Rank	5
Type	Uniform
Space	Euclidean
Notation
Bowers style acronym	Tribbit
Coxeter diagram	(x3o6o)(x3o6o)
Elements
Tera	4N triangular duoprisms
Cells	12N triangular prisms
Faces	4N triangles, 9N squares
Edges	6N
Vertices	N
Vertex figure	Hexagonal duotegum
Related polytopes
Army	Tribbit
Regiment	Tribbit
Dual	Hexagonal duoprismatic tetracomb
Conjugate	None
Abstract & topological properties
Orientable	Yes
Properties
Symmetry	V3≀S2
Convex	Yes
Nature	Tame

The triangular duoprismatic tetracomb is a convex noble uniform tetracomb. 36 triangular duoprisms join at each vertex of this tessellation. It is the honeycomb product of two triangular tilings.

Vertex coordinates

The vertices of a triangular duoprismatic tetracomb of edge length 1 are given by

• $\left(i{\frac {\sqrt {3}}{2}},\,j+{\frac {i}{2}},\,k{\frac {\sqrt {3}}{2}},\,l+{\frac {k}{2}}\right)$,

where i, j, k, l range over the integers.

External links

• Klitzing, Richard. "tribbit".