Great dodecicosahedral prism

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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
Dichoral anglesHip–4–stiddip #1:
 Giddy–6–hip: 90°
 Giddy–10/3–stiddip: 90°
 Hip–4–stiddip #2:
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[edit | edit source]

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

External links[edit | edit source]