# Great dodecicosahedral prism

Great dodecicosahedral prism
Rank4
TypeUniform
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${\displaystyle {\sqrt {\frac {19-3{\sqrt {5}}}{8}}}\approx 1.23955}$
Dichoral anglesHip–4–stiddip #1: ${\displaystyle \arccos \left(-{\sqrt {\frac {5-2{\sqrt {5}}}{15}}}\right)\approx 100.81232^{\circ }}$
Giddy–6–hip: 90°
Giddy–10/3–stiddip: 90°
Hip–4–stiddip #2: ${\displaystyle \arccos \left({\sqrt {\frac {5+2{\sqrt {5}}}{15}}}\right)\approx 37.37737^{\circ }}$
Height1
Number of external pieces518
Related polytopes
ArmySemi-uniform Tiddip
RegimentGidditdiddip
DualGreat dodecicosacronic tegum
ConjugateSmall dodecicosahedral prism
Abstract & topological properties
Euler characteristic–30
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.