| 120 mesh cells | |
|---|---|
| (No images) | |
| Type of | Correct hyperbolic honeycombs |
| Schläfli Symbol | {5.3,3,3} |
| Coxeter - Dynkin diagrams |     |
| 4-facets |  {5.3,3} |
| Cells |  {5.3} |
| Verge of |  {five} |
| Facet figure |  {3} |
| Rib figure |  {3.3} |
| Vertex figure |  {3.3,3} |
| Dual Honeycombs | |
| Coxeter group | H 4 , [5,3,3,3] |
| Properties | Right |
In the geometry of hyperbolic spaces, 120-mesh cells are one of five compact regular fill tier spaces ( cells ). Having a Schläfli {5,3,3,3} symbol , the honeycombs have three hundred and five headers around each face. Its dual polyhedron is a , {3,3,3,5}.
Content
Associated Honeycomb
These cells are associated with , {5,3,3,4} and , {5,3,3,5}.
Honeycombs are topologically similar to the final penteract , {4,3,3,3}, and hexaterone , {3,3,3,3}.
They are also similar to the one-hundred- and - one cell , {5,3,3}, and the dodecahedron , {5,3}.
See also
- List of valid multidimensional polyhedra and compounds
Notes
Literature
- HSM Coxeter . Tables I and II: Regular polytopes and honeycombs // Regular Polytopes . - 3rd. ed .. - Dover Publications, 1973. - p. 294–296. - ISBN 0-486-61480-8 ..
- HSM Coxeter . Chapter 10: Regular Honeycombs in Hyperbolic Space; Summary Tables II, III, IV, V // The Beauty of Geometry: Twelve Essays. - Dover Publications, 1999. - p. 212-213. - ISBN 0-486-40919-8 .