# Ditrigonal prism

Ditrigonal prism
Rank3
TypeSemi-uniform
SpaceSpherical
Notation
Bowers style acronymDittip
Coxeter diagramx y3z
Elements
Faces3+3 rectangles, 2 ditrigons
Edges6+6+6
Vertices12
Vertex figureScalene triangle
Measures (edge lengths a, b (base), c (sides))
Circumradius${\displaystyle \sqrt{\frac{a^2+b^2+ab}{3}+\frac{c^2}{4}}}$
Volume${\displaystyle \frac{\sqrt3}{4}(a^2c+4abc+b^2c)}$
Dihedral angles4–4: 120°
4–6: 90°
Heightc
Central density1
Related polytopes
ArmyDittip
RegimentDittip
DualTriambic tegum
ConjugateDitetragonal prism
Abstract & topological properties
Euler characteristic2
SurfaceSphere
OrientableYes
Genus0
Properties
SymmetryA2×A1, order 12
ConvexYes
NatureTame

The ditrigonal prism is a prism based on the ditrigon. As such it is a semi-uniform polyhedron with 2 ditrigons and 2 sets of 3 rectangles as faces.

A ditrigonal prism with height 1, and base edges of lengths 1 and ${\displaystyle \frac{\sqrt5-1}{2}}$ occurs as the vertex figure of the rectified small ditrigonary hexacosihecatonicosachoron. Prisms of nonconvex ditrigons occur as the vertex figures of the rectified great ditrigonary hexacosihecatonicosachoron and rectified ditrigonary dishecatonicosachoron.

The general ditrigonal prism can be alternated into a triangular gyroprism.