Great antifrustary tetracontoctiprismatotetracontoctachoron

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Great antifrustary tetracontoctiprismatotetracontoctachoron
Rank4
TypeUniform
Notation
Bowers style acronymGafcappic
Elements
Cells48 co, 48 sirco, 96 hip
Faces384 triangles, 864 squares, 96 hexagons
Edges576+576
Vertices288
Measures (edge length 1)
Circumradius
Related polytopes
ArmyCont
RegimentAfdec
ConjugateSafcappic
Abstract & topological properties
Euler characteristic288
OrientableYes
Properties
SymmetryF4, order 1152
ConvexNo
NatureWild

The great antifrustary tetracontoctiprismatotetracontoctachoron, or gafcappic, is a nonconvex uniform polychoron that consists of 48 cuboctahedra, 48 small rhombicuboctahedra, and 96 hexagonal prisms. Two cuboctahedra, 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]