# Ditetragonal prism

Ditetragonal prism
Rank3
TypeSemi-uniform
SpaceSpherical
Notation
Bowers style acronymDetip
Coxeter diagramx y4z
Elements
Faces4+4 rectangles, 2 ditetragons
Edges8+8+8
Vertices16
Vertex figureScalene triangle
Measures (edge lengths a, b (base), c (sides))
Circumradius${\displaystyle \sqrt{\frac{a^2+b^2+ab\sqrt2}{2}+\frac{c^2}{4}}}$
Volume${\displaystyle (a^2c+2abc\sqrt2+b^2c)}$
Dihedral angles4–4: 135°
4–8: 90°
Heightc
Central density1
Related polytopes
ArmyDetip
RegimentDetip
DualTetrambic tegum
ConjugateDitetragrammic prism
Abstract & topological properties
Euler characteristic2
SurfaceSphere
OrientableYes
Genus0
Properties
SymmetryB2×A1, order 16
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:

• ${\displaystyle \left(±\frac{a+b\sqrt2}{2},\,±\frac{a}{2},\,±\frac{c}{2}\right).}$