# Ditetragonal prism

Ditetragonal prism
Rank3
TypeSemi-uniform
Notation
Bowers style acronymDetip
Coxeter diagramx y4z
Elements
Faces
Edges8+8+8
Vertices16
Vertex figureScalene triangle
Measures (edge lengths a, b (base), c (sides))
Circumradius${\displaystyle {\sqrt {{\frac {a^{2}+b^{2}+ab{\sqrt {2}}}{2}}+{\frac {c^{2}}{4}}}}}$
Volume${\displaystyle (a^{2}c+2abc{\sqrt {2}}+b^{2}c)}$
Dihedral angles4–4: 135°
4–8: 90°
Heightc
Central density1
Related polytopes
ArmyDetip
RegimentDetip
DualTetrambic tegum
ConjugateDitetragrammic prism
Abstract & topological properties
Flag count96
Euler characteristic2
SurfaceSphere
OrientableYes
Genus0
Properties
SymmetryB2×A1, order 16
Flag orbits6
ConvexYes
NatureTame

The ditetragonal prism is a prism based on the ditetragon. As such it is a semi-uniform polyhedron with 2 ditetragons and 2 sets of 4 rectangles as faces.

The general ditetragonal prism can be alternated into a square gyroprism.

## Vertex coordinates

A ditetragonal prism with base edges of length a and b, and side edges of length c, has vertex coordinates given by all permutations of the first two coordinates of:

• ${\displaystyle \left(\pm {\frac {a+b{\sqrt {2}}}{2}},\,\pm {\frac {a}{2}},\,\pm {\frac {c}{2}}\right).}$