Small stellated 120-cell honeycomb | |
---|---|
(No image) | |
Type | Hyperbolic regular honeycomb |
Schläfli symbol | {5/2,5,3,3} |
Coxeter diagram | |
4-faces | {5/2,5,3} |
Cells | {5/2,5} |
Faces | {5/2} |
Face figure | {3} |
Edge figure | {3,3} |
Vertex figure | {5,3,3} |
Dual | Pentagrammic-order 600-cell honeycomb |
Coxeter group | H_{4}, [5,3,3,3] |
Properties | Regular |
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. 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.