Order-4 120-cell honeycomb

Order-4 120-cell honeycomb(No image)TypeHyperbolic regular honeycombSchläfli symbol{5,3,3,4}{5,3,31,1}Coxeter diagram = 4-faces {5,3,3}Cells {5,3}Faces {5}Face figure {4}Edge figure {3,4}Vertex figure {3,3,4}DualOrder-5 tesseractic honeycombCoxeter group4, [5,3,3,4]PropertiesRegular In the geometry of hyperbolic 4-space, the order-4 120-cell honeycomb is one of five compact regular space-filling tessellations (or honeycombs). With Schläfli symbol {5,3,3,4}, it has four 120-cells around each face. Acronym: shitte

Its dual is the order-5 tesseractic honeycomb, {4,3,3,5}.

Related honeycombs It is related to the (order-3) 120-cell honeycomb, and order-5 120-cell honeycomb.

See also List of regular polytopes

Notes

References Coxeter, The Beauty of Geometry: Twelve Essays, Dover Publications, 1999, , (Chapter 10: Regular honeycombs in hyperbolic space, Summary tables II, III, IV, V, pp. 212–213) o4o3o3o5x - shitte