# Small snub distetracontoctablendic distetracontoctachoron

Small snub distetracontoctablendic distetracontoctachoron
Rank4
TypeScaliform
Notation
Bowers style acronymSesdicabdic
Elements
Cells96 tut as 48 tisso
288 tut
48 4tic
48 4cotco
Faces1536 triangles
1536 hexagons
576 octagons
288 octagrams
Edges5760
Vertices1152
Measures (edge length 1)
Circumradius${\displaystyle {\sqrt {\frac {5+{\sqrt {2}}}{2}}}\approx 1.79084}$
Hypervolume${\displaystyle 194+240{\sqrt {2}}\approx 533.411}$
Related polytopes
ArmyTispic
RegimentSesdicabdic
ConjugateGreat snub distetracontoctablendic distetracontoctachoron
Abstract & topological properties
OrientableYes
Properties
SymmetryF4×2, order 2304
ConvexNo
NatureTame

The small snub distetracontoctablendic distetracontoctachoron or sesdicabdic is a scaliform polychoron. It consists of 96 truncated tetrahedra pairing up to form 48 truncated stellae octangulae, 288 more truncated tetrahedra, 48 blends of 4 truncated cubes, and 48 blends of 4 cuboctatruncated cuboctahedra. It can be formed as a blend of 24 tesseractihexadecatruncated tesseractihexadecachora.

## Coordinates

Sesdicabdic's vertex coordinates are given by all permutations and sign changes of the following:

• ${\displaystyle {\biggl (}\pm {\frac {1+{\sqrt {2}}}{2}},\pm {\frac {1+{\sqrt {2}}}{2}},\pm {\frac {{\sqrt {2}}-1}{2}},\pm {\frac {1}{2}}{\biggr )}}$
• ${\displaystyle {\biggl (}\pm {\frac {2+{\sqrt {2}}}{2}},\pm {\frac {{\sqrt {2}}-1}{2}},\pm {\frac {1}{2}},0{\biggr )}}$
• ${\displaystyle {\biggl (}\pm {\frac {4+{\sqrt {2}}}{4}},\pm {\frac {3{\sqrt {2}}}{4}},\pm {\frac {\sqrt {2}}{4}},\pm {\frac {\sqrt {2}}{4}}{\biggr )}}$
• ${\displaystyle {\biggl (}\pm {\frac {1+{\sqrt {2}}}{2}},\pm {\frac {\sqrt {2}}{2}},\pm {\frac {1}{2}},\pm 1{\biggr )}}$
• ${\displaystyle {\biggl (}\pm {\frac {2+3{\sqrt {2}}}{4}},\pm {\frac {2+{\sqrt {2}}}{4}},\pm {\frac {2-{\sqrt {2}}}{4}},\pm {\frac {2-{\sqrt {2}}}{4}}{\biggr )}}$