Great 120-cell honeycomb: Difference between revisions
Content deleted Content added
m Replace magic links with templates per local RfC and MediaWiki RfC |
tag as inline |
||
| (One intermediate revision by one other user not shown) | |||
| Line 1: | Line 1: | ||
{{inline |date=May 2024}} |
|||
{| class="wikitable" align="right" style="margin-left:10px" width="280" |
{| class="wikitable" align="right" style="margin-left:10px" width="280" |
||
!bgcolor=#e7dcc3 colspan=2|Great 120-cell honeycomb |
!bgcolor=#e7dcc3 colspan=2|Great 120-cell honeycomb |
||
| Line 4: | Line 5: | ||
|bgcolor=#ffffff align=center colspan=2|(No image) |
|bgcolor=#ffffff align=center colspan=2|(No image) |
||
|- |
|- |
||
|bgcolor=#e7dcc3|Type||[[ |
|bgcolor=#e7dcc3|Type||[[List of regular polytopes#Tessellations of hyperbolic 4-space|Hyperbolic regular honeycomb]] |
||
|- |
|- |
||
|bgcolor=#e7dcc3|[[Schläfli symbol]]||{5,5/2,5,3} |
|bgcolor=#e7dcc3|[[Schläfli symbol]]||{5,5/2,5,3} |
||
| Line 37: | Line 38: | ||
== References == |
== References == |
||
*[[H.S.M. Coxeter|Coxeter]], ''[[Regular Polytopes (book)|Regular Polytopes]]'', 3rd. ed., Dover Publications, 1973. {{ISBN|0-486-61480-8}}. (Tables I and II: Regular polytopes and honeycombs, pp. 294–296) |
*[[H.S.M. Coxeter|Coxeter]], ''[[Regular Polytopes (book)|Regular Polytopes]]'', 3rd. ed., Dover Publications, 1973. {{ISBN|0-486-61480-8}}. (Tables I and II: Regular polytopes and honeycombs, pp. 294–296) |
||
*[[H.S.M. Coxeter|Coxeter]], ''The Beauty of Geometry: Twelve Essays'', Dover Publications, 1999 {{ISBN|0-486-40919-8}} (Chapter 10: Regular honeycombs in hyperbolic space, Summary tables II,III,IV,V, p212-213) |
*[[H.S.M. Coxeter|Coxeter]], ''The Beauty of Geometry: Twelve Essays'', Dover Publications, 1999 {{ISBN|0-486-40919-8}} (Chapter 10: Regular honeycombs in hyperbolic space, Summary tables II, III, IV, V, p212-213) |
||
| ⚫ | |||
[[Category:Honeycombs (geometry)]] |
[[Category:Honeycombs (geometry)]] |
||
[[Category:5-polytopes]] |
[[Category:5-polytopes]] |
||
| ⚫ | |||
Latest revision as of 21:31, 12 May 2024
 | This article includes a list of references, related reading, or external links, but its sources remain unclear because it lacks inline citations. (May 2024) |
| Great 120-cell honeycomb | |
|---|---|
| (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 | H4, [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.
See also
[edit]References
[edit]- Coxeter, Regular Polytopes, 3rd. ed., Dover Publications, 1973. ISBN 0-486-61480-8. (Tables I and II: Regular polytopes and honeycombs, pp. 294–296)
- Coxeter, The Beauty of Geometry: Twelve Essays, Dover Publications, 1999 ISBN 0-486-40919-8 (Chapter 10: Regular honeycombs in hyperbolic space, Summary tables II, III, IV, V, p212-213)
 | This geometry-related article is a stub. You can help Wikipedia by expanding it. |