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- # first group is generated by mirrors in axial planes: an 8-group
- GROUP
-
- 1 0 0 0
- 0 1 0 0
- 0 0 1 0
- 0 0 0 1
-
- # gen a
- -1.61803 1.61803 0 -2.05817
-
- -1.61803 0 0 -1.27202
-
- 0 0 1. 0
-
- 2.05817 -1.27202 0 2.61803
- # gen d
- -1.61803 1.61803 0 2.05817
-
- -1.61803 0 0 1.27202
-
- 0 0 1. 0
-
- -2.05817 1.27202 0 2.61803
- # gen b
- 1. 0 0 0
-
- 0 -1.61803 1.61803 -2.05817
-
- 0 -1.61803 0 -1.27202
-
- 0 2.05817 -1.27202 2.61803
- # gen e
- 1. 0 0 0
-
- 0 -1.61803 1.61803 2.05817
-
- 0 -1.61803 0 1.27202
-
- 0 -2.05817 1.27202 2.61803
- # gen c
- 0 0 -1.61803 -1.27202
-
- 0 1. 0 0
-
- 1.61803 0 -1.61803 -2.05817
-
- -1.27202 0 2.05817 2.61803
- # gen f
- 0 0 -1.61803 1.27202
-
- 0 1. 0 0
-
- 1.61803 0 -1.61803 2.05817
-
- 1.27202 0 -2.05817 2.61803
- # gen A
- -1.61803 -1.61803 0 -2.05817
-
- 1.61803 0 0 1.27202
-
- 0 0 1. 0
-
- 2.05817 1.27202 0 2.61803
- # gen D
- -1.61803 -1.61803 0 2.05817
-
- 1.61803 0 0 -1.27202
-
- 0 0 1. 0
-
- -2.05817 -1.27202 0 2.61803
- # gen B
- 1. 0 0 0
-
- 0 -1.61803 -1.61803 -2.05817
-
- 0 1.61803 0 1.27202
-
- 0 2.05817 1.27202 2.61803
- # gen E
- 1. 0 0 0
-
- 0 -1.61803 -1.61803 2.05817
-
- 0 1.61803 0 -1.27202
-
- 0 -2.05817 -1.27202 2.61803
- # gen C
- 0 0 1.61803 1.27202
-
- 0 1. 0 0
-
- -1.61803 0 -1.61803 -2.05817
-
- 1.27202 0 2.05817 2.61803
- # gen F
- 0 0 1.61803 -1.27202
-
- 0 1. 0 0
-
- -1.61803 0 -1.61803 2.05817
-
- -1.27202 0 -2.05817 2.61803
- unit { =
-
- GROUP
- 1 0 0 0
- 0 1 0 0
- 0 0 1 0
- 0 0 0 1
-
- -1 0 0 0
- 0 1 0 0
- 0 0 1 0
- 0 0 0 1
-
- 1 0 0 0
- 0 -1 0 0
- 0 0 1 0
- 0 0 0 1
-
- 1 0 0 0
- 0 1 0 0
- 0 0 -1 0
- 0 0 0 1
-
- -1 0 0 0
- 0 -1 0 0
- 0 0 1 0
- 0 0 0 1
-
- 1 0 0 0
- 0 -1 0 0
- 0 0 -1 0
- 0 0 0 1
-
- -1 0 0 0
- 0 1 0 0
- 0 0 -1 0
- 0 0 0 1
-
- -1 0 0 0
- 0 -1 0 0
- 0 0 -1 0
- 0 0 0 1
-
- unit { =
-
- GROUP
-
- # 3-fold rotation around corner of cube: permute axes
-
- 1 0 0 0
- 0 1 0 0
- 0 0 1 0
- 0 0 0 1
-
- 0 1 0 0
- 0 0 1 0
- 1 0 0 0
- 0 0 0 1
-
- 0 0 1 0
- 1 0 0 0
- 0 1 0 0
- 0 0 0 1
-
-
- unit { =
- OFF
- 10 3 0
- 0.7579059138615393 0 0
- 0.76651332039993 0.03177568660262966 0
- 0.761643475234047 0 0.3154303394649576
- 0.7690740946291093 0.02763226360843495 0.3108379510433509
-
- 0.7861517593139627 0 0.2661280023229838
- 0.7738976242448507 -0.01982764615896841 0.2833485453167403
- 0.769074105124659 -0.02763227943718742 0.3108379445592113
-
- 0.4753137794988412 0.502946214098463 0.4582362038235173
- 0.4584672578570311 0.4905491851102674 0.478294998570738
- 0.4582361416623694 0.4753138842983664 0.502946150726337
-
- 4 0 1 3 2
- 4 4 5 8 7
- 4 5 6 9 8
- }
- }
- }
-