Ditrigonal prism

Ditrigonal prism
Rank	3
Type	Semi-uniform
Space	Spherical
Notation
Bowers style acronym	Dittip
Coxeter diagram	x y3z
Elements
Faces	3+3 rectangles, 2 ditrigons
Edges	6+6+6
Vertices	12
Vertex figure	Scalene triangle
Measures (edge lengths a, b (base), c (sides))
Circumradius	$\sqrt{\frac{a^2+b^2+ab}{3}+\frac{c^2}{4}}$
Volume	$\frac{\sqrt3}{4}(a^2c+4abc+b^2c)$
Dihedral angles	4–4: 120°
	4–6: 90°
Height	c
Central density	1
Related polytopes
Army	Dittip
Regiment	Dittip
Dual	Triambic tegum
Conjugate	Ditetragonal prism
Abstract & topological properties
Euler characteristic	2
Surface	Sphere
Orientable	Yes
Genus	0
Properties
Symmetry	A2×A1, order 12
Convex	Yes
Nature	Tame

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 $\frac{\sqrt5-1}{2}$ 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.