Small stellated 120-cell honeycomb

Small stellated 120-cell honeycomb(No image)TypeHyperbolic regular honeycombSchläfli symbol{5/2,5,3,3} Coxeter diagram4-faces {5/2,5,3}Cells {5/2,5}Faces {5/2}Face figure {3}Edge figure {3,3}Vertex figure {5,3,3}DualPentagrammic-order 600-cell honeycombCoxeter group4, [5,3,3,3]PropertiesRegular In the geometry of hyperbolic 4-space, the small stellated 120-cell honeycomb is one of four regular star-honeycombs. With Schläfli symbol {5/2,5,3,3}, it has three small stellated 120-cells around each face. Acronym: sishitte

It is dual to the pentagrammic-order 600-cell honeycomb.

It can be seen as a stellation of the 120-cell honeycomb, and is thus analogous to the three-dimensional small stellated dodecahedron {5/2,5} and four-dimensional small stellated 120-cell {5/2,5,3}. It has density 5.

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) o3o3o5o5/2x - sishitte