# 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 } } }