Order-5 icosahedral 120-cell honeycomb | |
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(No image) | |
Type | Hyperbolic regular honeycomb |
Schläfli symbol | {3,5,5/2,5} |
Coxeter diagram | |
4-faces | {3,5,5/2} |
Cells | {3,5} |
Faces | {3} |
Face figure | {5} |
Edge figure | {5/2,5} |
Vertex figure | {5,5/2,5} |
Dual | Great 120-cell honeycomb |
Coxeter group | H_{4}, [5,3,3,3] |
Properties | Regular |
In the geometry of hyperbolic 4-space, the order-5 icosahedral 120-cell honeycomb is one of four regular star-honeycombs. With Schläfli symbol {3,5,5/2,5}, it has five icosahedral 120-cells around each face. It is dual to the great 120-cell honeycomb.
It can be constructed by replacing the great dodecahedral cells of the great 120-cell honeycomb with their icosahedral convex hulls, thus replacing the great 120-cells with icosahedral 120-cells. It is thus analogous to the four-dimensional icosahedral 120-cell. It has density 10.