Hexadecintercepted tesseract

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Hexadecintercepted tesseract
Rank4
TypeUniform
Notation
Bowers style acronymHinnit
Elements
Cells
Faces64 triangles, 24 squares, 32 hexagons
Edges96
Vertices32
Vertex figureTriangular toroprism, edge lengths 1 (base edges), 2 (sides of rectangles), and 3 (sides of triangles)
Edge figureco 4 co 3 tut 6 tut 6 tut 3
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral angleCo–4–co: 90°
Co–3–tut: 60°
Tut–6–tut: 60°
Central density5
Number of external pieces72
Level of complexity6
Related polytopes
ArmyRit
RegimentRit
ConjugateNone
Convex coreHexadecachoron
Abstract & topological properties
Flag count1920
Euler characteristic32
OrientableYes
Properties
SymmetryB4, order 384
Flag orbits5
ConvexNo
NatureWild

The hexadecintercepted tesseract, or hinnit, is a nonconvex uniform polychoron that consists of 8 cuboctahedra and 16 truncated tetrahedra. 3 cuboctahedra and 6 truncated tetrahedra join at each vertex.

It is wild because it has cuboctahedra intercepted by hexagons.

It also has 16 tetrahedra as pseudofacets.

Gallery[edit | edit source]

Vertex coordinates[edit | edit source]

The vertices are the same as those of the regiment colonel, the rectified tesseract.

External links[edit | edit source]