Difference between revisions of "Template:2 k1 polytopes"

Revision as of 23:03, 12 December 2014

2_k1 figures in n dimensions
Space	Finite						Euclidean	Hyperbolic
n	3	4	5	6	7	8	9	10
Coxeter group	E₃=A₂×A₁	E₄=A₄	E₅=D₅	E₆	E₇	E₈	E₉ = <math>{\tilde{E}}_{8}</math> = E₈⁺	E₁₀ = <math>{\bar{T}}_8</math> = E₈⁺⁺
Coxeter diagram	File:CDel node 1.png File:CDel 3.png File:CDel node.png File:CDel 2.png File:CDel node.png	File:CDel nodea 1.png File:CDel 3a.png File:CDel nodea.png File:CDel 3a.png File:CDel branch.png	File:CDel nodea 1.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 nodea 1.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 nodea 1.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 nodea 1.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.png	File:CDel nodea 1.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.png File:CDel 3a.png File:CDel nodea.png	File:CDel nodea 1.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.png File:CDel 3a.png File:CDel nodea.png File:CDel 3a.png File:CDel nodea.png
Symmetry	[3^-1,2,1]	[3^0,2,1]	[[3^1,2,1]]	[3^2,2,1]	[3^3,2,1]	[3^4,2,1]	[3^5,2,1]	[3^6,2,1]
Order	12	120	384	51,840	2,903,040	696,729,600	∞
Graph	80px	80px	80px	80px	80px	80px	-	-
Name	2_-1,1	2₀₁	2₁₁	2₂₁	2₃₁	2₄₁	2₅₁	2₆₁

@@ Line 16: / Line 16: @@
 ![[Nine-dimensional space|9]]
 ![[Ten-dimensional space|10]]
-|- align=center
+|- style="text-align:center;"
 ![[Coxeter group|Coxeter<BR>group]]
 |E<sub>3</sub>=A<sub>2</sub>×A<sub>1</sub>
@@ Line 26: / Line 26: @@
 |E<sub>9</sub> = <math>{\tilde{E}}_{8}</math> = E<sub>8</sub><sup>+</sup>
 |E<sub>10</sub> = <math>{\bar{T}}_8</math> = E<sub>8</sub><sup>++</sup>
-|- align=center
+|- style="text-align:center;"
 ![[Coxeter-Dynkin diagram|Coxeter<BR>diagram]]
 |{{CDD|node_1|3|node|2|node}}
@@ Line 36: / Line 36: @@
 |{{CDD|nodea_1|3a|nodea|3a|branch|3a|nodea|3a|nodea|3a|nodea|3a|nodea|3a|nodea}}
 |{{CDD|nodea_1|3a|nodea|3a|branch|3a|nodea|3a|nodea|3a|nodea|3a|nodea|3a|nodea|3a|nodea}}
-|- align=center
+|- style="text-align:center;"
 ![[Coxeter notation|Symmetry]]
 |[3<sup>-1,2,1</sup>]
@@ Line 46: / Line 46: @@
 |[3<sup>5,2,1</sup>]
 |[3<sup>6,2,1</sup>]
-|- align=center
+|- style="text-align:center;"
 ![[Group order|Order]]
 |12
@@ Line 55: / Line 55: @@
 |696,729,600
 |colspan=2|&infin;
-|- align=center
+|- style="text-align:center;"
 !Graph
 |[[File:Trigonal_dihedron.png|80px]]
@@ Line 65: / Line 65: @@
 | -
 | -
-|- align=center
+|- style="text-align:center;"
 !Name
 |[[Dihedron|2<sub>-1,1</sup>]]

Difference between revisions of "Template:2 k1 polytopes"

Revision as of 23:03, 12 December 2014

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