# Great dodecicosahedral prism

Great dodecicosahedral prism
Rank4
TypeUniform
SpaceSpherical
Notation
Bowers style acronymGiddipe
Elements
Cells20 hexagonal prisms, 12 decagrammic prisms, 2 great dodecicosahedra
Faces60+60 squares, 40 hexagons, 24 decagrams
Edges60+120+120
Vertices120
Vertex figureButterfly pyramid, edge lengths 3, (5–5)/2, 3, (5–5)/2 (base), 2 (legs)
Measures (edge length 1)
Circumradius${\displaystyle \sqrt{\frac{19-3\sqrt5}{8}} ≈ 1.23955}$
Dichoral anglesHip–4–stiddip #1: ${\displaystyle \arccos\left(-\sqrt{\frac{5-2\sqrt5}{15}}\right) ≈ 100.81232°}$
Giddy–6–hip: 90°
Giddy–10/3–stiddip: 90°
Hip–4–stiddip #2: ${\displaystyle \arccos\left(\sqrt{\frac{5+2\sqrt5}{15}}\right) ≈ 37.37737°}$
Height1
Number of pieces518
Related polytopes
ArmySemi-uniform Tiddip
RegimentGidditdiddip
DualGreat dodecicosacronic tegum
ConjugateSmall dodecicosahedral prism
Abstract properties
Euler characteristic–30
Topological properties
OrientableNo
Properties
SymmetryH3×A1, order 240
ConvexNo
NatureTame

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.