Difference between revisions of "Template:K 22 polytopes"
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imported>Tomruen |
imported>WOSlinker (tidy style) |
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| Line 13: | Line 13: | ||
![[Seven-dimensional space|7]] | ![[Seven-dimensional space|7]] | ||
![[Eight-dimensional space|8]] | ![[Eight-dimensional space|8]] | ||
| − | |- align | + | |- style="text-align:center;" |
![[Coxeter group|Coxeter<BR>group]] | ![[Coxeter group|Coxeter<BR>group]] | ||
|A<sub>2</sub><sup>2</sup> | |A<sub>2</sub><sup>2</sup> | ||
| Line 20: | Line 20: | ||
|<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> | ||
| − | |- align | + | |- style="text-align:center;" |
![[Coxeter-Dynkin diagram|Coxeter<BR>diagram]] | ![[Coxeter-Dynkin diagram|Coxeter<BR>diagram]] | ||
|{{CDD|nodes|3ab|nodes_11}} | |{{CDD|nodes|3ab|nodes_11}} | ||
| Line 27: | Line 27: | ||
|{{CDD|nodes|3ab|nodes|split2|node|3|node|3|node_1}} | |{{CDD|nodes|3ab|nodes|split2|node|3|node|3|node_1}} | ||
|{{CDD|nodes|3ab|nodes|split2|node|3|node|3|node|3|node_1}} | |{{CDD|nodes|3ab|nodes|split2|node|3|node|3|node|3|node_1}} | ||
| − | |- align | + | |- style="text-align:center;" |
![[Coxeter notation|Symmetry]] | ![[Coxeter notation|Symmetry]] | ||
|[[3<sup>2,2,-1</sup>]] | |[[3<sup>2,2,-1</sup>]] | ||
| Line 34: | Line 34: | ||
|[[3<sup>2,2,2</sup>]] | |[[3<sup>2,2,2</sup>]] | ||
|[[3<sup>2,2,3</sup>]] | |[[3<sup>2,2,3</sup>]] | ||
| − | |- align | + | |- style="text-align:center;" |
![[Group order|Order]] | ![[Group order|Order]] | ||
|72 | |72 | ||
| Line 40: | Line 40: | ||
|103,680 | |103,680 | ||
|colspan=2|∞ | |colspan=2|∞ | ||
| − | |- align | + | |- style="text-align:center;" |
!Graph | !Graph | ||
|[[File:3-3_duoprism_ortho-skew.png|80px]] | |[[File:3-3_duoprism_ortho-skew.png|80px]] | ||
| Line 47: | Line 47: | ||
|∞ | |∞ | ||
|∞ | |∞ | ||
| − | |- align | + | |- style="text-align:center;" |
!Name | !Name | ||
|[[3-3 duoprism|−1<sub>22</sup>]] | |[[3-3 duoprism|−1<sub>22</sup>]] | ||
Revision as of 23:06, 12 December 2014
| Space | Finite | Euclidean | Hyperbolic | ||
|---|---|---|---|---|---|
| n | 4 | 5 | 6 | 7 | 8 |
| Coxeter group |
A22 | A5 | E6 | <math>{\tilde{E}}_{6}</math>=E6+ | <math>{\bar{T}}_7</math>=E6++ |
| Coxeter diagram |
File:CDel nodes.pngFile:CDel 3ab.pngFile:CDel nodes 11.png | File:CDel nodes.pngFile:CDel 3ab.pngFile:CDel nodes.pngFile:CDel split2.pngFile:CDel node 1.png | File:CDel nodes.pngFile:CDel 3ab.pngFile:CDel nodes.pngFile:CDel split2.pngFile:CDel node.png File:CDel node 1.png
|
File:CDel nodes.pngFile:CDel 3ab.pngFile:CDel nodes.pngFile:CDel split2.pngFile:CDel node.pngFile:CDel node.pngFile:CDel node 1.png
|
File:CDel nodes.pngFile:CDel 3ab.pngFile:CDel nodes.pngFile:CDel split2.pngFile:CDel node.pngFile:CDel node.pngFile:CDel node.pngFile:CDel node 1.png
|
| Symmetry | [[32,2,-1]] | [[32,2,0]] | [[32,2,1]] | [[32,2,2]] | [[32,2,3]] |
| Order | 72 | 1440 | 103,680 | ∞ | |
| Graph | 
|
|
|
∞ | ∞ |
| Name | −122 | 022 | 122 | 222 | 322 |
