Truncated tesseractihemioctachoron

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Truncated tesseractihemioctachoron
Rank4
TypeUniform
Notation
Bowers style acronymTitho
Coxeter diagram(x3x3x3o3/2*a)/2 (/2)
Elements
Cells8 tetrahemihexahedra, 8 truncated tetrahedra, 4 truncated octahedra
Faces32 triangles, 24 squares, 32 hexagons
Edges24+96
Vertices48
Vertex figureBowtie pyramid, base edge lengths 1 and 2, side edge length 3
Measures (edge length 1)
Circumradius
Dichoral anglesThah–3–tut: 120°
 Thah–4–toe: 90°
 Tut–6–toe: 60°
Number of external pieces72
Level of complexity17
Related polytopes
ArmyThex
RegimentThex
ConjugateNone
Abstract & topological properties
Flag count1536
OrientableNo
Properties
SymmetryD4, order 192
ConvexNo
NatureTame

The truncated tesseractihemioctachoron, or titho, is a nonconvex uniform polychoron that consists of 8 tetrahemihexahedra, 8 truncated tetrahedra, and 4 truncated octahedra. One tetrahemihexahedron, two truncated tetrahedra, and two truncated octahedra join at each vertex. As the name suggests, it can be obtained by truncating the tesseractihemioctachoron.

Cross-sections[edit | edit source]

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the truncated hexadecachoron.

External links[edit | edit source]