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{| class="wikitable"
|+
k<sub>22</sub> figures in n dimensions
|-
!n
![[Four-dimensional space|4]]
![[Five-dimensional space|5]]
![[Six-dimensional space|6]]
![[Seven-dimensional space|7]]
![[Eight-dimensional space|8]]
|- align=center
![[Coxeter group|Coxeter<BR>group]]
|A<sub>2</sub><sup>2</sup>
|A<sub>5</sub>
|E<sub>6</sub>
|<math>{\tilde{E}}_{6}</math>=E<sub>6</sub><sup>+</sup>
|E<sub>6</sub><sup>++</sup>
|- align=center
![[Coxeter-Dynkin diagram|Coxeter<BR>diagram]]
|{{CDD|nodes|3ab|nodes_11}}
|{{CDD|nodes|3ab|nodes|split2|node_1}}
|{{CDD|nodes|3ab|nodes|split2|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}}
|- align=center
![[Coxeter notation|Symmetry]]<BR>(order)
|[[3<sup>2,2,-1</sup>]]<BR>(72)
|[[3<sup>2,2,0</sup>]]<BR>(1440)
|[[3<sup>2,2,1</sup>]]<BR>(103,680)
|[[3<sup>2,2,2</sup>]]<BR>(&infin;)
|[[3<sup>2,2,3</sup>]]<BR>(&infin;)
|- align=center
!Graph
|[[File:3-3 duoprism.png|80px]]
|[[File:5-simplex t2.svg|80px]]
|[[File:Up 1 22 t0 E6.svg|80px]]
|&infin;
|&infin;
|- align=center
!Name
|[[duoprism|&minus;1<sub>22</sup>]]
|[[Birectified 5-simplex|0<sub>22</sup>]]
|[[1 22 polytope|1<sub>22</sup>]]
|[[2 22 honeycomb|2<sub>22</sup>]]
|3<sub>22</sup>
|}

Latest revision as of 18:39, 6 February 2013

k22 figures in n dimensions
n 4 5 6 7 8
Coxeter
group
A22 A5 E6 E~6=E6+ E6++
Coxeter
diagram
Template:CDD Template:CDD Template:CDD Template:CDD Template:CDD
Symmetry
(order)
[[32,2,-1]]
(72)
[[32,2,0]]
(1440)
[[32,2,1]]
(103,680)
[[32,2,2]]
(∞)
[[32,2,3]]
(∞)
Graph
Name −122 022 122 222 322