# Great snub distetracontoctablendic distetracontoctachoron

Great snub distetracontoctablendic distetracontoctachoron
Rank4
TypeScaliform
Notation
Bowers style acronymGesdicabdic
Elements
Cells96 tut as 48 tisso
288 tut
48 4quith
48 4cotco
Faces1536 triangles
1536 hexagons
288 octagons
576 octagrams
Edges5760
Vertices1152
Measures (edge length 1)
Circumradius${\displaystyle {\sqrt {\frac {5-{\sqrt {2}}}{2}}}\approx 1.33899}$
Hypervolume${\displaystyle 240{\sqrt {2}}-194\approx 145.411}$
Related polytopes
ArmyTabiparc
RegimentGesdicabdic
ConjugateSmall snub distetracontoctablendic distetracontoctachoron
Abstract & topological properties
OrientableYes
Properties
SymmetryF4×2, order 2304
ConvexNo
NatureTame

The great snub distetracontoctablendic distetracontoctachoron or gesdicabdic 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 quasitruncated cubes, and 48 blends of 4 cuboctatruncated cuboctahedra. It can be formed as a blend of 24 tesseractihexadecaquasitruncated tesseractihexadecachora.

## Vertex coordinates

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

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