Difference between revisions of "Template:K 22 polytopes"
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imported>WOSlinker (tidy style) |
imported>Tomruen |
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|- style="text-align:center;" | |- style="text-align:center;" | ||
![[Coxeter group|Coxeter<BR>group]] | ![[Coxeter group|Coxeter<BR>group]] | ||
| − | |A<sub>2</sub> | + | |A<sub>2</sub>A<sub>2</sub> |
| − | |||
|E<sub>6</sub> | |E<sub>6</sub> | ||
|<math>{\tilde{E}}_{6}</math>=E<sub>6</sub><sup>+</sup> | |<math>{\tilde{E}}_{6}</math>=E<sub>6</sub><sup>+</sup> | ||
|<math>{\bar{T}}_7</math>=E<sub>6</sub><sup>++</sup> | |<math>{\bar{T}}_7</math>=E<sub>6</sub><sup>++</sup> | ||
|- style="text-align:center;" | |- style="text-align:center;" | ||
| − | ![[ | + | ![[Coxeter–Dynkin diagram|Coxeter<BR>diagram]] |
|{{CDD|nodes|3ab|nodes_11}} | |{{CDD|nodes|3ab|nodes_11}} | ||
|{{CDD|nodes|3ab|nodes|split2|node_1}} | |{{CDD|nodes|3ab|nodes|split2|node_1}} | ||
| Line 49: | Line 48: | ||
|- style="text-align:center;" | |- style="text-align:center;" | ||
!Name | !Name | ||
| − | |[[3-3 duoprism|−1<sub>22</ | + | |[[3-3 duoprism|−1<sub>22</sub>]] |
| − | |[[Birectified 5-simplex|0<sub>22</ | + | |[[Birectified 5-simplex|0<sub>22</sub>]] |
| − | |[[1 22 polytope|1<sub>22</ | + | |[[1 22 polytope|1<sub>22</sub>]] |
| − | |[[2 22 honeycomb|2<sub>22</ | + | |[[2 22 honeycomb|2<sub>22</sub>]] |
| − | |[[3 22 honeycomb|3<sub>22</ | + | |[[3 22 honeycomb|3<sub>22</sub>]] |
|} | |} | ||
Latest revision as of 16:08, 23 April 2018
| Space | Finite | Euclidean | Hyperbolic | ||
|---|---|---|---|---|---|
| n | 4 | 5 | 6 | 7 | 8 |
| Coxeter group |
A2A2 | E6 | <math>{\tilde{E}}_{6}</math>=E6+ | <math>{\bar{T}}_7</math>=E6++ | |
| Coxeter diagram |
  
|
File:CDel split2.png
|
File:CDel split2.pngFile:CDel node.png
|
File:CDel split2.pngFile:CDel node.pngFile:CDel node.png
|
File:CDel split2.pngFile:CDel node.pngFile:CDel node.pngFile:CDel node.png
|
| Symmetry | [[32,2,-1]] | [[32,2,0]] | [[32,2,1]] | [[32,2,2]] | [[32,2,3]] |
| Order | 72 | 1440 | 103,680 | ∞ | |
| Graph | 80px | 80px | 80px | ∞ | ∞ |
| Name | −122 | 022 | 122 | 222 | 322 |
