Small tesseractifaceted cubitesseractihexadecachoron

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Small tesseractifaceted cubitesseractihexadecachoron
Stefacoth.png
Rank4
TypeUniform
SpaceSpherical
Notation
Bowers style acronymStefacoth
Coxeter diagramCDel label4.pngCDel branch 01rd.pngCDel split2-t4.pngCDel node.pngCDel 3.pngCDel node 1.png
Elements
Cells16 tetrahedra, 24 cubes, 8 small rhombicuboctahedra
Faces64 triangles, 48+96 squares
Edges96+96
Vertices64
Vertex figureIrregular triangular hemiantipodium, edge lengths 1 (top triangle) and 2 (base pseudo-triangle and sides)
Measures (edge length 1)
Circumradius
Dichoral anglesSirco–4–cube #1: 90°
 Sirco–3–tet: 60°
 Sirco–4–cube #2: 45°
Number of external pieces256
Level of complexity24
Related polytopes
ArmySidpith
RegimentSidpith
ConjugateGreat tesseractifaceted cubitesseractihexadecachoron
Abstract & topological properties
Euler characteristic32
OrientableNo
Properties
SymmetryB4, order 384
ConvexNo
NatureTame

The small tesseractifaceted cubitesseractihexadecachoron, or stefacoth, is a nonconvex uniform polychoron that consists of 16 tetrahedra, 24 cubes, and 8 small rhombicuboctahedra. One tetrahedron, three cubes, and three small rhombicuboctahedra join at each vertex.

It also has 8 cubes and 32 triangular prisms as pseudofacets.

Cross-sections[edit | edit source]

Stefacoth sections Bowers.png Stefacoth-slices.gif

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]