120-cell honeycomb

5-dimensional regular honeycomb July 2026 120-cell honeycomb(No image)TypeHyperbolic regular honeycombSchläfli symbol{5,3,3,3}Coxeter diagramnode_1 5 node 3 node 3 node 3 node4-faces50px {5,3,3}Cells30px {5,3}Faces30px {5}Face figure30px {3}Edge figure30px {3,3}Vertex figure50px {3,3,3}DualOrder-5 5-cell honeycombCoxeter groupH4, [5,3,3,3]PropertiesRegular In the geometry of hyperbolic 4-space, the 120-cell honeycomb is one of five compact regular space-filling tessellations (or honeycombs). With Schläfli symbol {5,3,3,3}, it has three 120-cells around each face. Acronym: hitteKlitzing (o3o3o3o5x - hitte) Its dual is the order-5 5-cell honeycomb, {3,3,3,5}. Related honeycombs It is related to the order-4 120-cell honeycomb, {5,3,3,4}, and order-5 120-cell honeycomb, {5,3,3,5}. It is topologically similar to the finite 5-cube, {4,3,3,3}, and 5-simplex, {3,3,3,3}. It is analogous to the 120-cell, {5,3,3}, and dodecahedron, {5,3}. See also List of regular polytopes Great 120-cell honeycomb Notes References Coxeter, Regular Polytopes, 3rd ed., Dover Publications, 1973. 0-486-61480-8. (Tables I and II: Regular polytopes and honeycombs, pp. 294–296) Coxeter, The Beauty of Geometry: Twelve Essays, Dover Publications, 1999, 0-486-40919-8, (Chapter 10: Regular honeycombs in hyperbolic space, Summary tables II, III, IV, V, pp. 212–213) hyperbolic.htm#4D-compact 4D Tetracombs o3o3o3o5x - hitte CITEREFKlitzing Category:Honeycombs (geometry)