Difference between revisions of "Template:K 31 polytopes"

Revision as of 23:06, 12 December 2014

k₃₁ dimensional figures
n	4	5	6	7	8	9
Coxeter group	A₃×A₁	A₅	D₆	E₇	<math>{\tilde{E}}_{7}</math> = E₇⁺	<math>{\bar{T}}_8</math>=E₇⁺⁺
Coxeter diagram	File:CDel node.png File:CDel 3.png File:CDel node.png File:CDel 3.png File:CDel node 1.png File:CDel 2.png File:CDel node 1.png	File:CDel nodea.png File:CDel 3a.png File:CDel nodea.png File:CDel 3a.png File:CDel nodea.png File:CDel 3a.png File:CDel branch 10.png	File:CDel nodea.png File:CDel 3a.png File:CDel nodea.png File:CDel 3a.png File:CDel nodea.png File:CDel 3a.png File:CDel branch.png File:CDel 3a.png File:CDel nodea 1.png	File:CDel nodea.png File:CDel 3a.png File:CDel nodea.png File:CDel 3a.png File:CDel nodea.png File:CDel 3a.png File:CDel branch.png File:CDel 3a.png File:CDel nodea.png File:CDel 3a.png File:CDel nodea 1.png	File:CDel nodea.png File:CDel 3a.png File:CDel nodea.png File:CDel 3a.png File:CDel nodea.png File:CDel 3a.png File:CDel branch.png File:CDel 3a.png File:CDel nodea.png File:CDel 3a.png File:CDel nodea.png File:CDel 3a.png File:CDel nodea 1.png	File:CDel nodea.png File:CDel 3a.png File:CDel nodea.png File:CDel 3a.png File:CDel nodea.png File:CDel 3a.png File:CDel branch.png File:CDel 3a.png File:CDel nodea.png File:CDel 3a.png File:CDel nodea.png File:CDel 3a.png File:CDel nodea.png File:CDel 3a.png File:CDel nodea 1.png
Symmetry	[3^-1,3,1]	[3^0,3,1]	[3^1,3,1]	[3^2,3,1]	[3^3,3,1]	[3^4,3,1]
Order	48	720	23,040	2,903,040	∞
Graph	80px	80px	80px	80px	-	-
Name	−1₃₁	0₃₁	1₃₁	2₃₁	3₃₁	4₃₁

@@ Line 10: / Line 10: @@
 ![[Eight-dimensional space|8]]
 ![[Nine-dimensional space|9]]
-|- align=center
+|- style="text-align:center;"
 ![[Coxeter group|Coxeter<BR>group]]
 |A<sub>3</sub>×A<sub>1</sub>
@@ Line 18: / Line 18: @@
 |<math>{\tilde{E}}_{7}</math> = E<sub>7</sub><sup>+</sup>
 |<math>{\bar{T}}_8</math>=E<sub>7</sub><sup>++</sup>
-|- align=center
+|- style="text-align:center;"
 ![[Coxeter-Dynkin diagram|Coxeter<BR>diagram]]
 |{{CDD|node|3|node|3|node_1|2|node_1}}
@@ Line 26: / Line 26: @@
 |{{CDD|nodea|3a|nodea|3a|nodea|3a|branch|3a|nodea|3a|nodea|3a|nodea_1}}
 |{{CDD|nodea|3a|nodea|3a|nodea|3a|branch|3a|nodea|3a|nodea|3a|nodea|3a|nodea_1}}
-|- align=center
+|- style="text-align:center;"
 ![[Coxeter notation|Symmetry]]
 |[3<sup>-1,3,1</sup>]
@@ Line 34: / Line 34: @@
 |[3<sup>3,3,1</sup>]
 |[3<sup>4,3,1</sup>]
-|- align=center
+|- style="text-align:center;"
 ![[Group order|Order]]
 |48
@@ Line 41: / Line 41: @@
 |2,903,040
 |colspan=2|&infin;
-|- align=center
+|- style="text-align:center;"
 !Graph
 |[[File:Tetrahedral prism.png|80px]]
@@ Line 49: / Line 49: @@
 | -
 | -
-|- align=center
+|- style="text-align:center;"
 !Name
 |[[tetrahedral prism|&minus;1<sub>31</sup>]]