Octagonally tetrablended quasitruncated tesseract

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Octagonally tetrablended quasitruncated tesseract
Rank4
TypeScaliform
Notation
Bowers style acronymOtbaquitit
Elements
Cells64 tetrahedra
16 blends of 2 quasitruncated cubes
Faces256 triangles
64 octagrams
Edges256 3-fold
128 4-fold
Vertices128
Vertex figureButterfly wedge, edge lengths 2-2 (short butterfly edges) and 1 (remaining edges)
Measures (edge length 1)
Circumradius
Hypervolume0
Related polytopes
ArmyOadet
RegimentOtbaquitit
ConjugateOctagonally tetrablended truncated tesseract
Abstract & topological properties
Euler characteristic-16
OrientableYes
Properties
SymmetryI2(8)≀S2, order 512
ConvexNo
NatureTame

The octagonally tetrablended quasitruncated tesseract or otbaquitit is a nonconvex scaliform polychoron that consists of 64 regular tetrahedra and 16 blends of 2 quasitruncated cubes. 2 tetrahedra and 4 blends of 2 quasitruncated cubes join at each vertex.

It can be constructed as a blend of 4 quasitruncated tesseracts in the same way ondip is constructed as a blend of 4 sidpith. Its vertex figure is in turn a blend of two vertex figures of the quasitruncated tesseract. It has the same symmetry as the octagonal duoprism.

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