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>(&infin;)
|[3<sup>6,2,1</sup>]<BR>(&infin;)
|- 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]]
|&infin;
|&infin;
|- align=center
!Name
|[[Triangular prism|&minus;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

k21 figures in n dimensional
En 3 4 5 6 7 8 9 10
Coxeter
group
E3=A2×A1 E4=A4 E5=D5 E6 E7 E8 E9 = E~8 = 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