Great swirlprism

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Great swirlprism
Rank4
TypeUniform
Notation
Bowers style acronymGisp
Elements
Cells120 pentagrammic retroprisms
Faces120 pentagrams, 600 triangles
Edges120+600
Vertices120
Vertex figurePentagonal retrogyrotegum, edge lengths (5–1)/2 and 1
Measures (edge length 1)
Circumradius
Central density27
Number of external pieces3600
Level of complexity164
Related polytopes
ArmyEx
RegimentGishi
DualPentagonal-retrogyroprismatic hecatonicosachoron
ConjugateSmall swirlprism
Convex coreHecatonicosachoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryH3●I2(10), order 1200
ConvexNo
NatureTame

The great swirlprism or gisp, also known as the pentagrammic-retroprismatic hecatonicosachoron, is a nonconvex uniform polychoron. It consists of 120 pentagrammic retroprisms. It is a member of an infinite family of isogonal great dodecahedral swirlchora and also a member of an infinite family of isochoric great dodecahedral swirlchora, using a decagram for each of its 12 rings.

Gallery[edit | edit source]

Card with cell counts, vertex figure, and cross-sections.

External links[edit | edit source]