Order-4 hecatonicosachoric tetracomb

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Order-4 hecatonicosachoric tetracomb
Rank5
TypeRegular, compact
SpaceHyperbolic
Notation
Bowers style acronymShitte
Coxeter diagramx5o3o3o4o ()
Schläfli symbol{5,3,3,4}
Elements
Tera2N hecatonicosachora
Cells120N dodecahedra
Faces360N pentagons
Edges300N
Vertices75N
Vertex figureHexadecachoron, edge length (1+5)/2
Measures (edge length 1)
Circumradius
Related polytopes
ArmyShitte
RegimentShitte
DualOrder-5 tesseractic tetracomb
Abstract & topological properties
OrientableYes
Properties
ConvexYes

The order-4 hecatonicosachoric tetracomb, or shitte, is a compact regular tiling of 4D hyperbolic space. 4 hecatonicosachora meet at each face, and 16 meet at each vertex, forming a hexadecachoron as the vertex figure.

Representations[edit | edit source]

The order-4 hecatonicosachoric tetracomb has the following Coxeter diagrams:

  • x5o3o3o4o () (full symmetry)
  • x5o3o3o *c3o () (two types of hecatonicosachora)

External links[edit | edit source]