Ditrigonary dodecadodecahedral prism

Ditrigonary dodecadodecahedral prism
(OFF file)
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Ditdiddip
Coxeter diagram	x x5/3o3o5*b ()
Elements
Cells	12 pentagonal prisms, 12 pentagrammic prisms, 2 ditrigonary dodecadodecahedra
Faces	60 squares, 24 pentagons, 24 pentagrams
Edges	20+120
Vertices	40
Vertex figure	Propeller tripod pyramid, edge lengths (1+√5)/2, (√5–1)/2 (base), √2 (legs)
Measures (edge length 1)
Circumradius	1
Hypervolume	0
Dichoral angles	Ditdid–5–pip: 90°
	Ditdid–5/2–stip: 90°
	Pip–4–stip: $\arccos\left(\frac{\sqrt5}{5}\right) ≈ 63.43495°$
Height	1
Central density	4
Related polytopes
Army	Semi-uniform dope
Regiment	Sidtiddip
Dual	Medial triambic icosahedral tegum
Conjugate	Ditrigonary dodecadodecahedral prism
Abstract properties
Euler characteristic	–18
Topological properties
Orientable	Yes
Properties
Symmetry	H3×A1, order 240
Convex	No
Nature	Tame

The ditrigonary dodecadodecahedral prism or ditdiddip, is a prismatic uniform polychoron that consists of 2 ditrigonary dodecadodecahedra, 12 pentagrammic prisms, and 12 pentagonal prisms. Each vertex joins 1 ditrigonary dodecadodecahedron, 3 pentagrammic prisms, and 3 pentagonal prisms. As the name suggests, it is a prism based on the ditrigonary dodecadodecahedron.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the small ditrigonary icosidodecahedral prism.

External links

• Bowers, Jonathan. "Category 19: Prisms" (#921).

• Klitzing, Richard. "ditdiddip".