Small swirlprism

From Polytope Wiki
Jump to navigation Jump to search
Small swirlprism
Rank4
TypeUniform
Notation
Bowers style acronymSisp
Elements
Cells120 pentagonal antiprisms
Faces600 triangles, 120 pentagons
Edges120+600
Vertices120
Vertex figurePentagrammic gyrotegum, edge lengths 1 and (1+5)/2
Measures (edge length 1)
Circumradius
Central density3
Related polytopes
ArmyEx
RegimentEx
DualPentagrammic-gyroprismatic hecatonicosachoron
ConjugateGreat swirlprism
Convex coreHecatonicosachoron
Abstract & topological properties
OrientableYes
Properties
SymmetryH3●I2(10), order 1200
ConvexNo
NatureTame

The small swirlprism or sisp, also known as the pentagonal-antiprismatic hecatonicosachoron, decafold great dodecaswirlchoron, great dodecaswirlic hecatonicosachoron, or gadswirl 120, is a nonconvex uniform polychoron. It consists of 120 pentagonal antiprisms. It is the first in an infinite family of isogonal great dodecahedral swirlchora and also the first in an infinite family of isochoric great dodecahedral swirlchora, using a decagon for each of its 12 rings.

Gallery[edit | edit source]

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

Isogonal derivatives[edit | edit source]

Substitution by vertices of these following elements will produce these convex isogonal polychora:

External links[edit | edit source]