Hecatonicosachoric tetracomb

From Polytope Wiki
Jump to navigation Jump to search
Hecatonicosachoric tetracomb
Rank5
TypeRegular, compact
SpaceHyperbolic
Notation
Bowers style acronymHitte
Coxeter diagramx5o3o3o3o ()
Schläfli symbol{5,3,3,3}
Elements
TeraN hecatonicosachora
Cells60N dodecahedra
Faces240N pentagons
Edges300N
Vertices120N
Vertex figurePentachoron, edge length (1+5)/2
Measures (edge length 1)
CircumradiusFailed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \frac{\sqrt{-10-5\sqrt{5}}}{2} \approx 2.30111 i}
Related polytopes
ArmyHitte
RegimentHitte
DualPentachoric tetracomb
Abstract & topological properties
OrientableYes
Properties
Symmetry[5,3,3,3]
ConvexYes

The hecatonicosachoric tetracomb, or hitte, is a compact regular tiling of 4D hyperbolic space. 3 hecatonicosachora meet at each face, and 5 meet at each vertex, forming a pentachoron as the vertex figure.

External links[edit | edit source]