# Great dodecahemidodecahedral prism

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Great dodecahemidodecahedral prism
Rank4
TypeUniform
SpaceSpherical
Notation
Bowers style acronymGidhiddip
Coxeter diagram ((x x5/3x5/3o5/2*b)/2)
Elements
Cells12 pentagrammic prisms, 6 decagrammic prisms, 2 great dodecahemidodecahedra
Faces60 squares, 24 pentagrams, 12 decagrams
Edges30+120
Vertices60
Vertex figureBowtie pyramid, edge lengths (5–1)/2, (5–5)/2 (base), 2 (legs)
Measures (edge length 1)
Circumradius${\displaystyle \frac{\sqrt{7-2\sqrt5}}{2} ≈ 0.79496}$
Dichoral anglesGidhid–5/2–stip: 90°
Gidhid–10/3–stiddip: 90°
Stip–4–stiddip: ${\displaystyle \arccos\left(\frac{\sqrt5}{5}\right) ≈ 63.43495^\circ}$
Height1
Number of pieces134
Related polytopes
ArmySemi-uniform Iddip
RegimentGiddip
DualGreat dodecahemidodecacronic tegum
ConjugateSmall dodecahemidodecahedral prism
Abstract properties
Euler characteristic–14
Topological properties
OrientableNo
Properties
SymmetryH3×A1, order 240
ConvexNo
NatureTame

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.