Difference between revisions of "Template:F4 honeycombs"

Revision as of 04:53, 27 January 2016

The [3,4,3,3], File:CDel node.png File:CDel 3.png File:CDel node.png File:CDel 4.png File:CDel node.png File:CDel 3.png File:CDel node.png File:CDel 3.png File:CDel node.png, Coxeter group generates 31 permutations of uniform tessellations, 28 are unique in this family and ten are shared in the [4,3,3,4] and [4,3,3^1,1] families. The alternation (13) is also repeated in other families.

F4 honeycombs

Extended symmetry	Extended diagram	Order	Honeycombs
[3,3,4,3]	File:CDel node.png File:CDel 3.png File:CDel node.png File:CDel 3.png File:CDel node.png File:CDel 4.png File:CDel node.png File:CDel 3.png File:CDel node.png	×1	File:CDel node 1.png File:CDel 3.png File:CDel node.png File:CDel 3.png File:CDel node.png File:CDel 4.png File:CDel node.png File:CDel 3.png File:CDel node.png ₁, File:CDel node 1.png File:CDel 3.png File:CDel node 1.png File:CDel 3.png File:CDel node.png File:CDel 4.png File:CDel node.png File:CDel 3.png File:CDel node.png ₃, File:CDel node 1.png File:CDel 3.png File:CDel node.png File:CDel 3.png File:CDel node.png File:CDel 4.png File:CDel node 1.png File:CDel 3.png File:CDel node.png ₅, File:CDel node.png File:CDel 3.png File:CDel node 1.png File:CDel 3.png File:CDel node 1.png File:CDel 4.png File:CDel node.png File:CDel 3.png File:CDel node.png ₆, File:CDel node 1.png File:CDel 3.png File:CDel node 1.png File:CDel 3.png File:CDel node.png File:CDel 4.png File:CDel node 1.png File:CDel 3.png File:CDel node.png ₈, File:CDel node 1.png File:CDel 3.png File:CDel node 1.png File:CDel 3.png File:CDel node.png File:CDel 4.png File:CDel node.png File:CDel 3.png File:CDel node 1.png ₉, File:CDel node 1.png File:CDel 3.png File:CDel node.png File:CDel 3.png File:CDel node 1.png File:CDel 4.png File:CDel node 1.png File:CDel 3.png File:CDel node.png ₁₀, File:CDel node 1.png File:CDel 3.png File:CDel node 1.png File:CDel 3.png File:CDel node 1.png File:CDel 4.png File:CDel node 1.png File:CDel 3.png File:CDel node.png ₁₁, File:CDel node 1.png File:CDel 3.png File:CDel node 1.png File:CDel 3.png File:CDel node 1.png File:CDel 4.png File:CDel node.png File:CDel 3.png File:CDel node 1.png ₁₂
[3,4,3,3]	File:CDel node.png File:CDel 3.png File:CDel node.png File:CDel 4.png File:CDel node.png File:CDel 3.png File:CDel node.png File:CDel 3.png File:CDel node.png	×1	File:CDel node 1.png File:CDel 3.png File:CDel node.png File:CDel 4.png File:CDel node.png File:CDel 3.png File:CDel node.png File:CDel 3.png File:CDel node.png ₂, File:CDel node.png File:CDel 3.png File:CDel node 1.png File:CDel 4.png File:CDel node.png File:CDel 3.png File:CDel node.png File:CDel 3.png File:CDel node.png ₄, File:CDel node 1.png File:CDel 3.png File:CDel node 1.png File:CDel 4.png File:CDel node.png File:CDel 3.png File:CDel node.png File:CDel 3.png File:CDel node.png ₇, File:CDel node h.png File:CDel 3.png File:CDel node h.png File:CDel 4.png File:CDel node.png File:CDel 3.png File:CDel node.png File:CDel 3.png File:CDel node.png ₁₃, File:CDel node 1.png File:CDel 3.png File:CDel node.png File:CDel 4.png File:CDel node 1.png File:CDel 3.png File:CDel node.png File:CDel 3.png File:CDel node.png ₁₄, File:CDel node 1.png File:CDel 3.png File:CDel node.png File:CDel 4.png File:CDel node.png File:CDel 3.png File:CDel node 1.png File:CDel 3.png File:CDel node.png ₁₅, File:CDel node.png File:CDel 3.png File:CDel node 1.png File:CDel 4.png File:CDel node 1.png File:CDel 3.png File:CDel node.png File:CDel 3.png File:CDel node.png ₁₆, File:CDel node 1.png File:CDel 3.png File:CDel node 1.png File:CDel 4.png File:CDel node 1.png File:CDel 3.png File:CDel node.png File:CDel 3.png File:CDel node.png ₁₇, File:CDel node 1.png File:CDel 3.png File:CDel node 1.png File:CDel 4.png File:CDel node.png File:CDel 3.png File:CDel node 1.png File:CDel 3.png File:CDel node.png ₁₈, File:CDel node 1.png File:CDel 3.png File:CDel node 1.png File:CDel 4.png File:CDel node.png File:CDel 3.png File:CDel node.png File:CDel 3.png File:CDel node 1.png ₁₉, File:CDel node 1.png File:CDel 3.png File:CDel node.png File:CDel 4.png File:CDel node 1.png File:CDel 3.png File:CDel node 1.png File:CDel 3.png File:CDel node.png ₂₀, File:CDel node 1.png File:CDel 3.png File:CDel node 1.png File:CDel 4.png File:CDel node 1.png File:CDel 3.png File:CDel node 1.png File:CDel 3.png File:CDel node.png ₂₁, File:CDel node 1.png File:CDel 3.png File:CDel node 1.png File:CDel 4.png File:CDel node 1.png File:CDel 3.png File:CDel node.png File:CDel 3.png File:CDel node 1.png ₂₂ File:CDel node.png File:CDel 3.png File:CDel node.png File:CDel 4.png File:CDel node 1.png File:CDel 3.png File:CDel node.png File:CDel 3.png File:CDel node.png ₂₃, File:CDel node.png File:CDel 3.png File:CDel node 1.png File:CDel 4.png File:CDel node.png File:CDel 3.png File:CDel node 1.png File:CDel 3.png File:CDel node.png ₂₄, File:CDel node.png File:CDel 3.png File:CDel node 1.png File:CDel 4.png File:CDel node 1.png File:CDel 3.png File:CDel node 1.png File:CDel 3.png File:CDel node.png ₂₅, File:CDel node 1.png File:CDel 3.png File:CDel node.png File:CDel 4.png File:CDel node.png File:CDel 3.png File:CDel node.png File:CDel 3.png File:CDel node 1.png ₂₆, File:CDel node 1.png File:CDel 3.png File:CDel node.png File:CDel 4.png File:CDel node 1.png File:CDel 3.png File:CDel node.png File:CDel 3.png File:CDel node 1.png ₂₇, File:CDel node 1.png File:CDel 3.png File:CDel node 1.png File:CDel 4.png File:CDel node.png File:CDel 3.png File:CDel node 1.png File:CDel 3.png File:CDel node 1.png ₂₈, File:CDel node 1.png File:CDel 3.png File:CDel node 1.png File:CDel 4.png File:CDel node 1.png File:CDel 3.png File:CDel node 1.png File:CDel 3.png File:CDel node 1.png ₂₉
[(3,3)[3,3,4,3^*]] =[(3,3)[3^{1,1,1,1]] =[3,4,3,3]}	File:CDel node c2.png File:CDel split1.png File:CDel nodeab c1.png File:CDel 4a.png File:CDel nodea.png File:CDel 3a.png File:CDel nodea.png =File:CDel nodeab c1.png File:CDel split2.png File:CDel node c2.png File:CDel split1.png File:CDel nodeab c1.png = File:CDel node c2.png File:CDel 3.png File:CDel node c1.png File:CDel 4.png File:CDel node.png File:CDel 3.png File:CDel node.png File:CDel 3.png File:CDel node.png	×4	File:CDel node.png File:CDel 3.png File:CDel node 1.png File:CDel 3.png File:CDel node.png File:CDel 4.png File:CDel node.png File:CDel 3.png File:CDel node.png ₍₂₎, File:CDel node 1.png File:CDel 3.png File:CDel node.png File:CDel 3.png File:CDel node 1.png File:CDel 4.png File:CDel node.png File:CDel 3.png File:CDel node.png ₍₄₎, File:CDel node 1.png File:CDel 3.png File:CDel node 1.png File:CDel 3.png File:CDel node 1.png File:CDel 4.png File:CDel node.png File:CDel 3.png File:CDel node.png ₍₇₎, File:CDel node h.png File:CDel 3.png File:CDel node h.png File:CDel 3.png File:CDel node h.png File:CDel 4.png File:CDel node.png File:CDel 3.png File:CDel node.png ₍₁₃₎

References

@@ Line 1: / Line 1: @@
 The [3,4,3,3], {{CDD|node|3|node|4|node|3|node|3|node}}, [[Coxeter group]] generates 31 permutations of uniform tessellations, 28 are unique in this family and ten are shared in the [4,3,3,4] and [4,3,3<sup>1,1</sup>] families. The alternation (13) is also repeated in other families.
+{| width=540
+|
 {{Hidden begin| titlestyle = background:lightgrey;| title=F4 honeycombs}}
 {| class=wikitable
@@ Line 52: / Line 54: @@
 {{CDD|node_1|3|node_1|3|node_1|4|node|3|node}} <sub>[[Truncated 24-cell honeycomb|(7)]]</sub>,
 {{CDD|node_h|3|node_h|3|node_h|4|node|3|node}} <sub>[[Snub 24-cell honeycomb|(13)]]</sub>
-|}{{Hidden end}}<noinclude>
+|}{{Hidden end}}
+|}<noinclude>
 ==References==

Difference between revisions of "Template:F4 honeycombs"

Revision as of 04:53, 27 January 2016

References

Navigation menu

Personal tools

Namespaces

Variants

Views

More

Search

Navigation

Tools