Omnifacetododecahedronary dishecatonicosachoron

From Polytope Wiki
(Redirected from Ofiddady)
Jump to navigation Jump to search
Omnifacetododecahedronary dishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymOfiddady
Coxeter diagramo3o5/3o3x5/2o3*c5*aØ*e
Elements
Cells120 icosahedra, 120 small ditrigonary icosidodecahedra
Faces2400 triangles, 720 pentagrams
Edges1200
Vertices120
Edge figure(ike 3 sidtid 5/2 sidtid 3)×3
Measures (edge length 1)
Circumradius1
Hypervolume
Dichoral anglesSidtid–5/2–sidtid: 72°
 Sidtid–3–ike: 60°
Central density70
Number of external pieces66240
Level of complexity112
Related polytopes
ArmyEx, edge length
RegimentSishi
ConjugateDodecahedronary dishecatonicosachoron
Abstract & topological properties
Flag count43200
Euler characteristic1800
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureFeral

The omnifacetododecahedronary dishecatonicosachoron, or ofiddady, is a nonconvex uniform polychoron that consists of 120 small ditrigonary icosidodecahedra and 120 icosahedra. Twenty small ditrigonary icosidodecahedra and twelve icosahedra join at each vertex.

It also has great complex icosidodecahedra as exotic pseudofacets.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the small ditrigonary hexacosihecatonicosachoron.

External links[edit | edit source]