Octagonally tetrablended truncated tesseract

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

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

It can be constructed as a blend of 4 truncated 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 truncated tesseract. It has the same symmetry as the octagonal duoprism.

Vertex coordinates[edit | edit source]

The vertices of an octagonally tetrablended truncated tesseract of edge length 1 are given by all permutations of:

along with all permutations of the first two and/or last two coordinates of:

The first set of vertices are identical to the vertices of an inscribed truncated tesseract.

External links[edit | edit source]