Small tesseractitesseractihexadecachoron

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Small tesseractitesseractihexadecachoron
Rank4
TypeUniform
Notation
Bowers style acronymSteth
Coxeter diagramo3o3x4x4/3*b ()
Elements
Cells16 tetrahedra, 8 cubes, 8 small cubicuboctahedra
Faces64 triangles, 48 squares, 24 octagons
Edges96+96
Vertices64
Vertex figureCrossed triangular frustum, edge lengths 1 (small base), 2 (large base), and 2+2 (sides)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesSocco–8–socco: 90°
 Socco–4–cube: 90°
 Socco–3–tet: 60°
Central density3
Number of external pieces136
Level of complexity12
Related polytopes
ArmySidpith
RegimentSidpith
ConjugateGreat tesseractitesseractihexadecachoron
Abstract & topological properties
Flag count2304
Euler characteristic–24
OrientableYes
Properties
SymmetryB4, order 384
ConvexNo
NatureTame

The small tesseractitesseractihexadecachoron, or steth, is a nonconvex uniform polychoron that consists of 16 regular tetrahedra, 8 cubes, and 8 small cubicuboctahedra. 1 tetrahedron, 1 cube, and 3 small cubicuboctahedra join at each vertex.

Cross-sections[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]