Great spinoprismatotesseractioctachoron

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Great spinoprismatotesseractioctachoron
Rank4
TypeUniform
Notation
Bowers style acronymGnipto
Elements
Cells8+24 cubes, 8 great rhombihexahedra
Faces48+96 squares, 24 octagrams
Edges96+96
Vertices64
Vertex figureTriangular podic crown, edge lengths 2 (top triangle and side edges of triangles) and 2–2 (edges between butterflies)
Measures (edge length 1)
Circumradius
Dichoral anglesGroh–8/3–groh: 90°
 Groh–4–cube: 90°
 Cube–4–cube: 45°
Number of external pieces5592
Level of complexity559
Related polytopes
ArmyTat, edge length
RegimentGittith
ConjugateSmall spinoprismatotesseractioctachoron
Abstract & topological properties
Flag count3072
Euler characteristic0
OrientableNo
Properties
SymmetryB4, order 384
ConvexNo
NatureWild

The great spinoprismatotesseractioctachoron, or gnipto, is a nonconvex uniform polychoron that consists of 8 great rhombihexahedra and 32 cubes. Three great rhombihexahedra and four cubes join at each vertex.

It can be constructed as a blend of six square-octagrammic duoprisms. In the process some of the cubes blend out, while the octagrammic prisms blend into great rhombihexahedra.

Gallery[edit | edit source]

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]