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