Snub decahecatonicosachoron

Snub decahecatonicosachoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Sody
Elements
Components	10 ex
Cells	1200 tet as 120 e, 4800 tet as 2400 hexagrammic pyramids
Faces	4800 triangles as 2400 hexagrams, 7200 triangles
Edges	7200
Vertices	1200 as 600 fissary
Vertex figure	Snub disoctahedron, edge length 1
Measures (edge length 1)
Circumradius	$\frac{1+\sqrt5}{2} ≈ 1.61803$
Inradius	$\frac{2\sqrt2+\sqrt{10}}{4} ≈ 1.49768$
Hypervolume	$\frac{125(2+\sqrt5)}{2} ≈ 264.7542$
Dichoral angle	$\arccos\left(-\frac{1+3\sqrt5}{8}\right) ≈ 164.47751°$
Related polytopes
Army	Hi
Regiment	Sody
Dual	Dishexacosichoron
Conjugate	Grand snub decahecatonicosachoron
Properties
Symmetry	H4, order 14400
Nature	Tame

The snub decahecatonicosachoron is a uniform polychoron compound. It is a compound of ten hexacosichora. It is also a compound of two enantiomorphs of the snub pentahecatonicosachoron.

External links

• Klitzing, Richard. "sody".