Great quasiprismatodishexadecachoron

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Great quasiprismatodishexadecachoron
Rank4
TypeUniform
Notation
Bowers style acronymGaquipadah
Elements
Cells16 tetrahedra, 32 triangular prisms, 16 cubes, 8 octagrammic prisms
Faces64 triangles, 32+32+64 squares, 8 octagrams
Edges32+32+64+64
Vertices64
Vertex figureBlend of triangular retroantipodium and digonal disphenoid
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesCube–4–stop: 90°
 Stop–8/3–stop: 90°
 Trip–4–stop:
 Cube–4–trip:
 Tet–3–trip: 30°
Central density-1
Related polytopes
ArmyTat
RegimentGittith
ConjugateInverted quasiprismatodishexadecachoron
Convex coreHexadecachoron
Abstract & topological properties
Euler characteristic8
OrientableYes
Properties
SymmetryB2≀S2, order 128
ConvexNo
NatureWild

The great quasiprismatodishexadecachoron, or gaquipadah, is a nonconvex uniform polychoron consisting of 16 regular tetrahedra, 24 triangular prisms, 16 cubes, and 8 octagrammic prisms. 1 tetrahedron, 3 triangular prisms, 2 cubes, and 2 octagrammic prisms meet each vertex. It can be created by blending a quasidisprismatotesseractihexadecachoron with an octagrammic diorthoprism, the inscribed compound of 2 square-octagrammic duoprisms. In the process 16 cubical cells blend out.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the great tesseractitesseractihexadecachoron.

External links[edit | edit source]