120-cell honeycomb | |
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(No image) | |
Type | Hyperbolic regular honeycomb |
Schläfli symbol | {5,3,3,3} |
Coxeter diagram | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
4-faces |
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Cells |
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Faces |
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Face figure |
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Edge figure |
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Vertex figure |
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Dual | Order-5 5-cell honeycomb |
Coxeter group | H4, [5,3,3,3] |
Properties | Regular |
In the geometry of hyperbolic 4-space, the 120-cell honeycomb is one of five compact regular space-filling tessellations (or honeycombs). With Schläfli symbol {5,3,3,3}, it has three 120-cells around each face. Its dual is the order-5 5-cell honeycomb, {3,3,3,5}.
It is related to the order-4 120-cell honeycomb, {5,3,3,4}, and order-5 120-cell honeycomb, {5,3,3,5}.
It is topologically similar to the finite 5-cube, {4,3,3,3}, and 5-simplex, {3,3,3,3}.
It is analogous to the 120-cell, {5,3,3}, and dodecahedron, {5,3}.
120-cell honeycomb | |
---|---|
(No image) | |
Type | Hyperbolic regular honeycomb |
Schläfli symbol | {5,3,3,3} |
Coxeter diagram | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
4-faces |
![]() |
Cells |
![]() |
Faces |
![]() |
Face figure |
![]() |
Edge figure |
![]() |
Vertex figure |
![]() |
Dual | Order-5 5-cell honeycomb |
Coxeter group | H4, [5,3,3,3] |
Properties | Regular |
In the geometry of hyperbolic 4-space, the 120-cell honeycomb is one of five compact regular space-filling tessellations (or honeycombs). With Schläfli symbol {5,3,3,3}, it has three 120-cells around each face. Its dual is the order-5 5-cell honeycomb, {3,3,3,5}.
It is related to the order-4 120-cell honeycomb, {5,3,3,4}, and order-5 120-cell honeycomb, {5,3,3,5}.
It is topologically similar to the finite 5-cube, {4,3,3,3}, and 5-simplex, {3,3,3,3}.
It is analogous to the 120-cell, {5,3,3}, and dodecahedron, {5,3}.