Quasirhombated tesseract

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Quasirhombated tesseract
Rank4
TypeUniform
Notation
Bowers style acronymQrit
Coxeter diagramx4/3o3x3o ()
Elements
Cells16 octahedra, 32 triangular prisms, 8 quasirhombicuboctahedra
Faces64+64 triangles, 24+96 squares
Edges96+192
Vertices96
Vertex figureCrossed wedge, edge lengths 1 (base square) and 2 (top and side edges)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesQuerco–4–querco: 90°
 Querco–3–oct: 60°
 Querco–4–trip:
 Oct–3–trip: 30°
Related polytopes
ArmySrit, edge length
RegimentWavitoth
ConjugateSmall rhombated tesseract
Convex coreJoined tesseract
Abstract & topological properties
Flag count3456
Euler characteristic0
OrientableYes
Properties
SymmetryB4, order 384
ConvexNo
NatureTame

The quasirhombated tesseract, or qrit, is a nonconvex uniform polychoron that consists of 16 regular octahedra, 32 triangular prisms, and 8 quasirhombicuboctahedra. 1 octahedron, 2 triangular prisms, and 2 quasirhombicuboctahedra join at each vertex. It can be obtained by quasicantellating the tesseract.

Gallery[edit | edit source]

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the sphenoverted tesseractitesseractihexadecachoron.

External links[edit | edit source]