Great dodecahedral prism

The great dodecahedral prism or gaddip is a prismatic uniform polychoron that consists of 2 great dodecahedra and 12 pentagonal prisms. Each vertex joins 1 great dodecahedron and 5 pentagonal prisms. As the name suggests, it is a prism based on the great dodecahedron.

Great dodecahedral prism
Rank4
TypeUniform
Notation
Bowers style acronymGaddip
Coxeter diagramx o5/2o5x ()
Elements
Cells12 pentagonal prisms, 2 great dodecahedra
Faces30 squares, 24 pentagons
Edges12+60
Vertices24
Vertex figurePentagrammic pyramid, edge lengths (1+5)/2 (base), 2 (legs)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesGad–5–pip: 90°
 Pip–4–pip:
Height1
Central density3
Number of external pieces62
Related polytopes
ArmyIpe
RegimentIpe
DualSmall stellated dodecahedral tegum
ConjugateSmall stellated dodecahedral prism
Abstract & topological properties
Euler characteristic–8
OrientableYes
Properties
SymmetryH3×A1, order 240
ConvexNo
NatureTame

Gallery edit

Vertex coordinates edit

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

External links edit