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User:Tomruen/tempaa

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Enumeration[edit]

Coxeter group Extended
symmetry
Honeycombs
(with Branko Grünbaum's indices)
Chiral
extended
symmetry
Alternation honeycombs
[4,3,4]
[4,3,4]
6 22 | 7 | 8
9 | 25 | 20
[1+,4,3+,4,1+] (2) 1 | -
[2+[4,3,4]]
=
(1) 22 [2+[(4,3+,4,2+)]] (1) 1
[2+[4,3,4]]
1 28 [2+[(4,3+,4,2+)]] (1) -
[2+[4,3,4]]
2 27 [2+[4,3,4]]+ (1) -
[4,31,1]
[4,31,1]
4 1 | 7 | 10 | 28
[1[4,31,1]]=[4,3,4]
=
(7) 22 | 7 | 22 | 7 | 9 | 28 | 25 [1[1+,4,31,1]]+ (2) 1 | -
[1[4,31,1]]+
=[4,3,4]+
(1) -
[3[4]]
[3[4]] (none)
[2+[3[4]]]

1 6
[1[3[4]]]=[4,31,1]

=

(2) 1 | 10
[2[3[4]]]=[4,3,4]

=

(1) 7
[(2+,4)[3[4]]]=[2+[4,3,4]]

=

(1) 28 [(2+,4)[3[4]]]+
= [2+[4,3,4]]+
(1) -