Order-5 5-cell honeycomb | |
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(No image) | |
Type | Hyperbolic regular honeycomb |
Schläfli symbol | {3,3,3,5} |
Coxeter diagram | |
4-faces | {3,3,3} |
Cells | {3,3} |
Faces | {3} |
Face figure | {5} |
Edge figure | {3,5} |
Vertex figure | {3,3,5} |
Dual | 120-cell honeycomb |
Coxeter group | H_{4}, [5,3,3,3] |
Properties | Regular |
In the geometry of hyperbolic 4-space, the order-5 5-cell honeycomb is one of five compact regular space-filling tessellations (or honeycombs). With Schläfli symbol {3,3,3,5}, it has five 5-cells around each face. Its dual is the 120-cell honeycomb, {5,3,3,3}.
It is related to the order-5 tesseractic honeycomb, {4,3,3,5}, and order-5 120-cell honeycomb, {5,3,3,5}.
It is topologically similar to the finite 5-orthoplex, {3,3,3,4}, and 5-simplex, {3,3,3,3}.
It is analogous to the 600-cell, {3,3,5}, and icosahedron, {3,5}.