Great snub dodecicosidodecahedral prism

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Great snub dodecicosidodecahedral prism
Rank4
TypeUniform
Notation
Bowers style acronymGisdiddip
Coxeter diagramx2s5/3s5/2s3*b ()
Elements
Cells20+60 triangular prisms, 24 pentagrammic prisms, 2 great snub dodecicosidodecahedra
Faces40+120 triangles, 60+60+60 squares, 48 pentagrams
Edges60+120+120+120
Vertices120
Vertex figureIrregular hexagonal pyramid, edge lengths 1, 1, 1, (5–1)/2, 1, (5–1)/2 (base), 2 (legs)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesStip–4–trip #1:
 Trip–4–trip:
 Gisdid–5/2–stip: 90°
 Gisdid–3–trip: 90°
 Stip–4–trip #2:
Height1
Central density10
Number of external pieces602
Related polytopes
ArmySemi-uniform Sriddip
RegimentGisdiddip
DualGreat hexagonal hexecontahedral tegum
Abstract & topological properties
Euler characteristic–18
OrientableYes
Properties
SymmetryH3+×A1, order 120
ConvexNo
NatureTame

The great snub dodecicosidodecahedral prism or gisdiddip is a prismatic uniform polychoron that consists of 2 great snub dodecicosidodecahedra, 24 pentagrammic prisms (which form compounds in the same hyperplane), and 20+60 triangular prisms. Each vertex joins 1 great snub dodecicosidodecahedron,2 pentagrammic prisms, and 4 triangular prisms. As the name suggests, it is a prism based on the great snub dodecicosidodecahedron.

Vertex coordinates[edit | edit source]

A great snub dodecicosidodecahedral prism of edge length 1 has vertex coordinates given by all even permutations of:

External links[edit | edit source]