Symmetry protected topological order: Difference between revisions

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{| class="wikitable"
|+
3<sub>k1</sub> dimensional figures
|-
!n
![[Four-dimensional space|4]]
![[Five-dimensional space|5]]
![[Six-dimensional space|6]]
![[Seven-dimensional space|7]]
![[Eight-dimensional space|8]]
![[Nine-dimensional space|9]]
|- align=center
![[Coxeter group|Coxeter<BR>group]]
|A<sub>3</sub>×A<sub>1</sub>
|A<sub>5</sub>
|D<sub>6</sub>
|[[E7 (mathematics)|E<sub>7</sub>]]
|<math>{\tilde{E}}_{7}</math>=E<sub>7</sub><sup>+</sup>
|E<sub>7</sub><sup>++</sup>
|- align=center
![[Coxeter-Dynkin diagram|Coxeter<BR>diagram]]
|{{CDD|node_1|3|node|3|node|2|node}}
|{{CDD|nodea_1|3a|nodea|3a|nodea|3a|branch}}
|{{CDD|nodea_1|3a|nodea|3a|nodea|3a|branch|3a|nodea}}
|{{CDD|nodea_1|3a|nodea|3a|nodea|3a|branch|3a|nodea|3a|nodea}}
|{{CDD|nodea_1|3a|nodea|3a|nodea|3a|branch|3a|nodea|3a|nodea|3a|nodea}}
|{{CDD|nodea_1|3a|nodea|3a|nodea|3a|branch|3a|nodea|3a|nodea|3a|nodea|3a|nodea}}
|- align=center
![[Coxeter notation|Symmetry]]<BR>(order)
|[3<sup>-1,3,1</sup>]<BR>(48)
|[3<sup>0,3,1</sup>]<BR>(720)
|[[3<sup>1,3,1</sup>]]<BR>(46,080)
|[3<sup>2,3,1</sup>]<BR>(2,903,040)
|[3<sup>3,3,1</sup>]<BR>(&infin;)
|[3<sup>4,3,1</sup>]<BR>(&infin;)
|- align=center
!Graph
|
|[[File:5-simplex t0.svg|80px]]
|[[File:6-cube t5.svg|80px]]
|[[File:Up2 3 21 t0 E7.svg|80px]]
|&infin;
|&infin;
|- align=center
!Name
|[[hosohedron|3<sub>1,-1</sup>]]
|[[5-simplex|3<sub>10</sup>]]
|[[6-orthoplex|3<sub>11</sup>]]
|[[3 21 polytope|3<sub>21</sup>]]
|[[3 31 honeycomb|3<sub>31</sup>]]
|3<sub>41</sup>
|}<noinclude>[[Category:Encyclopedic content templates]]</noinclude>

Revision as of 19:25, 26 October 2013

3k1 dimensional figures
n 4 5 6 7 8 9
Coxeter
group 		A3×A1 A5 D6 E7 E~7=E7+ E7++
Coxeter
diagram 		Template:CDD Template:CDD Template:CDD Template:CDD Template:CDD Template:CDD
Symmetry
(order) 		[3-1,3,1]
(48) 		[30,3,1]
(720) 		[[31,3,1]]
(46,080) 		[32,3,1]
(2,903,040) 		[33,3,1]
(∞) 		[34,3,1]
(∞)
Graph ∞ ∞
Name 31,-1 310 311 321 331 341
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