Blended tetracontoctasnub distetracontoctachoron

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Blended tetracontoctasnub distetracontoctachoron
Rank4
TypeScaliform
Notation
Bowers style acronymBecsadic
Elements
Cells96 tet as 48 so
288 tet
48 fortic
Faces384+1152 triangles
288 octagons
Edges1152 3-fold
576 4-fold
192 6-fold
Vertices384
Vertex figureBlend of 4 triangular pyramids
Measures (edge length 1)
Circumradius
Hypervolume
Central density12
Related polytopes
ArmyBitec
RegimentBecsadic
ConjugateQuasiblended tetracontoctasnub distetracontoctachoron
Abstract & topological properties
Euler characteristic-144
OrientableYes
Properties
SymmetryF4×2, order 2304
ConvexNo
NatureTame

The blended tetracontoctasnub distetracontoctachoron or becsadic is a nonconvex scaliform polychoron that consists of 96 regular tetrahedra forming 48 stellae octangulae, 288 more tetrahedra, and 48 blends of 4 truncated cubes. 1+3 tetrahedra and 6 blends of 4 truncated cubes join at each vertex.

It can be constructed as a blend of 24 truncated tesseracts, grouping into 6 core full-symmetric truncated tesseracts and 18 sub-symmetric ones, in the same way as the blend of 24 small disprismatotesseractihexadecachora. Its vertex figure is in turn a blend of 1+3 vertex figures of the truncated tesseract. It has tetracontoctachoric symmetry.

Vertex coordinates[edit | edit source]

The vertices of a blended tetracontoctasnub distetracontoctachoron of edge length 1 are given by all permutations of:

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

External links[edit | edit source]