![]() | This article includes a
list of references,
related reading, or
external links, but its sources remain unclear because it lacks
inline citations. (May 2024) |
Small stellated 120-cell honeycomb | |
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(No image) | |
Type | Hyperbolic regular honeycomb |
Schläfli symbol | {5/2,5,3,3} |
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 | Pentagrammic-order 600-cell honeycomb |
Coxeter group | H4, [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.
![]() | This article includes a
list of references,
related reading, or
external links, but its sources remain unclear because it lacks
inline citations. (May 2024) |
Small stellated 120-cell honeycomb | |
---|---|
(No image) | |
Type | Hyperbolic regular honeycomb |
Schläfli symbol | {5/2,5,3,3} |
Coxeter diagram | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
4-faces |
![]() |
Cells |
![]() |
Faces |
![]() |
Face figure |
![]() |
Edge figure |
![]() |
Vertex figure |
![]() |
Dual | Pentagrammic-order 600-cell honeycomb |
Coxeter group | H4, [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.