Ditetragonal prism

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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
Volume
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[edit | edit source]

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: