Small spinoprismatotesseractioctachoron

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Small spinoprismatotesseractioctachoron
Rank4
TypeUniform
Notation
Bowers style acronymSnipto
Elements
Cells8+24 cubes, 8 small rhombihexahedra
Faces48+96 squares, 24 octagons
Edges96+96
Vertices64
Vertex figureTriangular crown, edge lengths 2 (top triangles and side edges of triangles) and 2+2 (edges between butterflies)
Measures (edge length 1)
Circumradius
Dichoral anglesCube–4–cube: 135°
 Sroh–8–sroh: 90°
 Sroh–4–cube: 90°
Number of external pieces128
Level of complexity13 13
Related polytopes
ArmySidpith
RegimentSidpith
ConjugateGreat spinoprismatotesseractioctachoron
Abstract & topological properties
Flag count3072
Euler characteristic0
OrientableNo
Properties
SymmetryB4, order 384
ConvexNo
NatureWild

The small spinoprismatotesseractioctachoron, or snipto, is a nonconvex uniform polychoron that consists of 8+24 cubes and 8 small rhombihexahedra. Four cubes and three small rhombihexahedra join at each vertex.

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

Gallery[edit | edit source]

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the small disprismatotesseractihexadecachoron.

External links[edit | edit source]