Great dodecicosahedral prism

Great dodecicosahedral prism
(OFF file)
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Giddipe
Elements
Cells	20 hexagonal prisms, 12 decagrammic prisms, 2 great dodecicosahedra
Faces	60+60 squares, 40 hexagons, 24 decagrams
Edges	60+120+120
Vertices	120
Vertex figure	Butterfly pyramid, edge lengths √3, √(5–√5)/2, √3, √(5–√5)/2 (base), √2 (legs)
Measures (edge length 1)
Circumradius	$\sqrt{\frac{19-3\sqrt5}{8}} ≈ 1.23955$
Dichoral angles	Hip–4–stiddip #1: $\arccos\left(-\sqrt{\frac{5-2\sqrt5}{15}}\right) ≈ 100.81232°$
	Giddy–6–hip: 90°
	Giddy–10/3–stiddip: 90°
	Hip–4–stiddip #2: $\arccos\left(\sqrt{\frac{5+2\sqrt5}{15}}\right) ≈ 37.37737°$
Height	1
Number of pieces	518
Related polytopes
Army	Semi-uniform Tiddip
Regiment	Gidditdiddip
Dual	Great dodecicosacronic tegum
Conjugate	Small dodecicosahedral prism
Abstract properties
Euler characteristic	–30
Topological properties
Orientable	No
Properties
Symmetry	H3×A1, order 240
Convex	No
Nature	Tame

The great dodecicosahedral prism or giddipe is a prismatic uniform polychoron that consists of 2 great dodecicosahedra, 20 hexagonal prisms, and 12 decagrammic prisms. Each vertex joins 1 great dodecicosahedron, 2 hexagonal prisms, and 2 decagrammic prisms. As the name suggests, it is a prism based on the great dodecicosahedron.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the great ditrigonal dodecicosidodecahedral prism.

External links

• Bowers, Jonathan. "Category 19: Prisms" (#937).