Great dirhombicosidodecahedral prism

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Great dirhombicosidodecahedral prism
Rank4
TypeUniform
Notation
Bowers style acronymGidriddip
Coxeter diagramx2s3s5/2s3/2s5/3*bØ*d *cØ*e
Elements
Cells40 triangular prisms, 60 cubes, 24 pentagrammic prisms, 2 great dirhombicosidodecahedra
Faces80 triangles, 120+120+120 squares, 48 pentagrams
Edges60+240+240
Vertices120
Vertex figureIrregular octagonal pyramid, edge lengths 1, 2, (5–1)/2, 2, 1, 2, (5–1)/2, 2 (base), 2 (legs)
Measures (edge length 1)
Circumradius
Hypervolume0
Dichoral anglesGidrid–5/2–stip: 90°
 Gidrid–3–trip: 90°
 Gidrid–4–cube: 90°
 Stip–4–cube:
 Trip–4–cube:
Height1
Central density0
Number of external pieces1282
Related polytopes
ArmySemi-uniform Sriddip
RegimentGidriddip
DualGreat dirhombicosidodecacronic tegum
Abstract & topological properties
Euler characteristic–58
OrientableYes
Properties
SymmetryH3×A1, order 240
ConvexNo
NatureTame

The great dirhombicosidodecahedral prism or gidriddip is a prismatic uniform polychoron that consists of 2 great dirhombicosidodecahedra, 24 pentagrammic prisms, 40 triangular prisms, and 60 cubes (the latter three of these form pairs in the same hyperplane). Each vertex joins 1 great dirhombicosidodecahedron, 2 pentagrammic prisms, 2 triangular prisms, and 4 cubes. As the name suggests, it is a prism based on the great dirhombicosidodecahedron.

Vertex coordinates[edit | edit source]

A great dirhombicosidodecahedral prism of edge length 1 has vertex coordinates given by all even permutations of the first three coordinates of:

External links[edit | edit source]