Quasiblended tetracontoctasnub distetracontoctachoron

From Polytope Wiki
Jump to navigation Jump to search
Quasiblended tetracontoctasnub distetracontoctachoron
Rank4
TypeScaliform
Notation
Bowers style acronymQuabcasdic
Elements
Cells96 tet as 48 so
288 tet
48 forquith
Faces384+1152 triangles
288 octagrams
Edges1152 3-fold
576 4-fold
192 6-fold
Vertices384
Vertex figureBlend of 4 triangular pyramids
Measures (edge length 1)
Circumradius
Hypervolume
Central density-12
Related polytopes
ArmyBitec
RegimentQuabcasdic
ConjugateBlended tetracontoctasnub distetracontoctachoron
Abstract & topological properties
Euler characteristic-144
OrientableYes
Properties
SymmetryF4×2, order 2304
ConvexNo
NatureTame

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

It can be constructed as a blend of 24 quasitruncated tesseracts, grouping into 6 core full-symmetric quasitruncated 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 quasitruncated 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 quasitruncated tesseract.

External links[edit | edit source]