Great antifrustary prismatodistetracontoctachoron

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Great antifrustary prismatodistetracontoctachoron
Rank4
TypeUniform
SpaceSpherical
Notation
Bowers style acronymGafpaddic
Elements
Cells48 gocco, 48 sirco, 96 hip
Faces384 triangles, 864 squares, 96 hexagons, 144 octagrams
Edges576+576
Vertices288
Measures (edge length 1)
Circumradius
Related polytopes
ArmyCont
RegimentAfdec
ConjugateAfpaddic
Abstract & topological properties
Euler characteristic432
OrientableNo
Properties
SymmetryF4, order 1152
ConvexNo
NatureWild

The great antifrustary prismatodistetracontoctachoron, or gafpaddic, is a nonconvex uniform polychoron that consists of 48 great cubicuboctahedra, 48 small rhombicuboctahedra, and 96 hexagonal prisms. Four great cubicuboctahedra, four small rhombicuboctahedra, and four hexagonal prisms join at each vertex.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the antifrustary distetracontoctachoron.

External links[edit | edit source]