Great dodecahemidodecahedral prism

Great dodecahemidodecahedral prism
(OFF file)
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Gidhiddip
Coxeter diagram	((x x5/3x5/3o5/2*b)/2)
Elements
Cells	12 pentagrammic prisms, 6 decagrammic prisms, 2 great dodecahemidodecahedra
Faces	60 squares, 24 pentagrams, 12 decagrams
Edges	30+120
Vertices	60
Vertex figure	Bowtie pyramid, edge lengths (√5–1)/2, √(5–√5)/2 (base), √2 (legs)
Measures (edge length 1)
Circumradius	$\frac{\sqrt{7-2\sqrt5}}{2} ≈ 0.79496$
Dichoral angles	Gidhid–5/2–stip: 90°
	Gidhid–10/3–stiddip: 90°
	Stip–4–stiddip: $\arccos\left(\frac{\sqrt5}{5}\right) ≈ 63.43495^\circ$
Height	1
Number of pieces	134
Related polytopes
Army	Semi-uniform Iddip
Regiment	Giddip
Dual	Great dodecahemidodecacronic tegum
Conjugate	Small dodecahemidodecahedral prism
Abstract properties
Euler characteristic	–14
Topological properties
Orientable	No
Properties
Symmetry	H3×A1, order 240
Convex	No
Nature	Tame

The great dodecahemidodecahedral prism or gidhiddip, is a prismatic uniform polychoron that consists of 2 great dodecahemidodecahedra, 12 pentagrammic prisms, and 6 decagrammic prisms. Each vertex joins 1 great dodecahemidodecahedron, 2 pentagrammic prisms, and 2 decagrammic prisms. As the name suggests, it is a prism based on the great dodecahemidodecahedron.

Vertex coordinates

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

External links

• Bowers, Jonathan. "Category 19: Prisms" (#918).