Great 120-cell honeycomb(No image)TypeHyperbolic regular honeycombSchläfli symbol{5,5/2,5,3} Coxeter diagram4-faces {5,5/2,5}Cells {5,5/2}Faces {5}Face figure {3}Edge figure {5,3}Vertex figure {5/2,5,3}DualOrder-5 icosahedral 120-cell honeycombCoxeter group4, [5,3,3,3]PropertiesRegular In the geometry of hyperbolic 4-space, the great 120-cell honeycomb is one of four regular star-honeycombs. With Schläfli symbol {5,5/2,5,3}, it has three great 120-cells around each face. Acronym: gohitte
It is dual to the order-5 icosahedral 120-cell honeycomb.
It can be seen as a greatening of the 120-cell honeycomb, and is thus analogous to the three-dimensional great dodecahedron {5,5/2} and four-dimensional great 120-cell {5,5/2,5}. It has density 10.
See also List of regular polytopes
Notes
References Coxeter, Regular Polytopes, 3rd ed., Dover Publications, 1973. . (Tables I and II: Regular polytopes and honeycombs, pp. 294–296) 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) o3o5o5/2o5x - gohitte