Molecular-scale temperature: Difference between revisions
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en>Brad7777 −Category:Physics; −Category:Physical quantities using HotCat (parent and ancestor) |
en>Monkbot |
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{| class="wikitable" | |||
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[[Uniform_k_21_polytope|k<sub>21</sub> figures]] in n dimensional | |||
|- | |||
![[En (Lie algebra)|E<sub>n</sub>]] | |||
![[Three-dimensional space|3]] | |||
![[Four-dimensional space|4]] | |||
![[Five-dimensional space|5]] | |||
![[Six-dimensional space|6]] | |||
![[Seven-dimensional space|7]] | |||
![[Eight-dimensional space|8]] | |||
![[Nine-dimensional space|9]] | |||
![[Ten-dimensional space|10]] | |||
|- align=center | |||
![[Coxeter group|Coxeter<BR>group]] | |||
|E<sub>3</sub>=A<sub>2</sub>×A<sub>1</sub> | |||
|E<sub>4</sub>=A<sub>4</sub> | |||
|E<sub>5</sub>=D<sub>5</sub> | |||
|[[E6 (mathematics)|E<sub>6</sub>]] | |||
|[[E7 (mathematics)|E<sub>7</sub>]] | |||
|[[E8 (mathematics)|E<sub>8</sub>]] | |||
|E<sub>9</sub> = <math>{\tilde{E}}_{8}</math> = E<sub>8</sub><sup>+</sup> | |||
|E<sub>10</sub> = E<sub>8</sub><sup>++</sup> | |||
|- align=center | |||
![[Coxeter-Dynkin diagram|Coxeter<BR>diagram]] | |||
|{{CDD|node|3|node_1|2|node_1}} | |||
|{{CDD|nodea|3a|nodea|3a|branch_10}} | |||
|{{CDD|nodea|3a|nodea|3a|branch|3a|nodea_1}} | |||
|{{CDD|nodea|3a|nodea|3a|branch|3a|nodea|3a|nodea_1}} | |||
|{{CDD|nodea|3a|nodea|3a|branch|3a|nodea|3a|nodea|3a|nodea_1}} | |||
|{{CDD|nodea|3a|nodea|3a|branch|3a|nodea|3a|nodea|3a|nodea|3a|nodea_1}} | |||
|{{CDD|nodea|3a|nodea|3a|branch|3a|nodea|3a|nodea|3a|nodea|3a|nodea|3a|nodea_1}} | |||
|{{CDD|nodea|3a|nodea|3a|branch|3a|nodea|3a|nodea|3a|nodea|3a|nodea|3a|nodea|3a|nodea_1}} | |||
|- align=center | |||
![[Coxeter notation|Symmetry]]<BR>(order) | |||
|[3<sup>-1,2,1</sup>]<BR>(12) | |||
|[3<sup>0,2,1</sup>]<BR>(120) | |||
|[3<sup>1,2,1</sup>]<BR>(192) | |||
|[3<sup>2,2,1</sup>]<BR>(51,840) | |||
|[3<sup>3,2,1</sup>]<BR>(2,903,040) | |||
|[3<sup>4,2,1</sup>]<BR>(696,729,600) | |||
|[3<sup>5,2,1</sup>]<BR>(∞) | |||
|[3<sup>6,2,1</sup>]<BR>(∞) | |||
|- align=center | |||
!Graph | |||
| [[File:Triangular prism.png|80px]] | |||
|[[File:4-simplex_t1.svg|80px]] | |||
|[[File:Demipenteract graph ortho.svg|80px]] | |||
|[[File:E6 graph.svg|80px]] | |||
|[[File:E7 graph.svg|80px]] | |||
|[[File:E8 graph.svg|80px]] | |||
|∞ | |||
|∞ | |||
|- align=center | |||
!Name | |||
|[[Triangular prism|−1<sub>21</sup>]] | |||
|[[Rectified 5-cell|0<sub>21</sup>]] | |||
|[[Demipenteract|1<sub>21</sup>]] | |||
|[[2 21 polytope|2<sub>21</sup>]] | |||
|[[3 21 polytope|3<sub>21</sup>]] | |||
|[[4 21 polytope|4<sub>21</sup>]] | |||
|[[5 21 honeycomb|5<sub>21</sup>]] | |||
|[[6 21 honeycomb|6<sub>21</sup>]] | |||
|} |
Latest revision as of 21:48, 26 January 2014
En | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
---|---|---|---|---|---|---|---|---|
Coxeter group |
E3=A2×A1 | E4=A4 | E5=D5 | E6 | E7 | E8 | E9 = = E8+ | E10 = E8++ |
Coxeter diagram |
Template:CDD | Template:CDD | Template:CDD | Template:CDD | Template:CDD | Template:CDD | Template:CDD | Template:CDD |
Symmetry (order) |
[3-1,2,1] (12) |
[30,2,1] (120) |
[31,2,1] (192) |
[32,2,1] (51,840) |
[33,2,1] (2,903,040) |
[34,2,1] (696,729,600) |
[35,2,1] (∞) |
[36,2,1] (∞) |
Graph | ∞ | ∞ | ||||||
Name | −121 | 021 | 121 | 221 | 321 | 421 | 521 | 621 |