Great ditrigonary icosidodecahedral prism

Great ditrigonary icosidodecahedral prism
(OFF file)
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Gidtiddip
Coxeter diagram	(x x3/2o3o5*b)
Elements
Cells	20 triangular prisms, 12 pentagonal prisms, 2 great ditrigonary icosidodecahedra
Faces	40 triangles, 60 squares, 24 pentagons
Edges	20+120
Vertices	40
Vertex figure	Tripod pyramid, edge lengths 1, (1+√5)/2 (base), √2 (legs)
Measures (edge length 1)
Circumradius	$1$
Hypervolume	$\frac{4\sqrt5}{3} ≈ 2.98142$
Dichoral angles	Gidtid–3–trip: 90°
	Gidtid–5–pip: 90°
	Trip–4–pip: $\arccos\left(\sqrt{\frac{5-2\sqrt5}{15}}\right) ≈ 79.18768^\circ$
Height	1
Central density	6
Number of pieces	302
Related polytopes
Army	Semi-uniform Dope
Regiment	Sidtiddip
Dual	Great triambic icosahedral tegum
Conjugate	Small ditrigonary icosidodecahedral prism
Abstract properties
Euler characteristic	–10
Topological properties
Orientable	Yes
Properties
Symmetry	H3×A1, order 240
Convex	No
Nature	Tame

The great ditrigonary icosidodecahedral prism or gidtiddip, is a prismatic uniform polychoron that consists of 2 great ditrigonary icosidodecahedra, 12 pentagonal prisms, and 20 triangular prisms. Each vertex joins 1 great ditrigonary icosidodecahedron, 3 pentagonal prisms, and 3 triangular prisms. As the name suggests, it is a prism based on the great ditrigonary icosidodecahedron.

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" (#922).

• Klitzing, Richard. "gidtiddip".