Quasitruncated tesseract

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Quasitruncated tesseract
Rank4
TypeUniform
Notation
Bowers style acronymQuitit
Coxeter diagramx4/3x3o3o ()
Elements
Cells16 tetrahedra, 8 quasitruncated hexahedra
Faces64 triangles, 24 octagrams
Edges32+96
Vertices64
Vertex figureTriangular pyramid, edge lengths 1 (base) and 2–2 (sides)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesQuith–8/3–quith: 90°
 Quith–3–tet: 60°
Central density-1
Number of external pieces120
Level of complexity25
Related polytopes
ArmySidpith, edge length
RegimentQuitit
ConjugateTruncated tesseract
Convex coreHexadecachoron
Abstract & topological properties
Flag count1536
Euler characteristic0
OrientableYes
Properties
SymmetryB4, order 384
ConvexNo
NatureTame

The quasitruncated tesseract, or quitit, is a nonconvex uniform polychoron that consists of 16 regular tetrahedra and 8 quasitruncated hexahedra. 1 tetrahedron and three quasitruncated hexahedra join at each vertex. As the name suggests, it can be obtained by quasitruncating the tesseract.

Vertex coordinates[edit | edit source]

The vertices of a quasitruncated tesseract of edge length 1 are given by all permutations of:

Cross-sections[edit | edit source]

External links[edit | edit source]