![]() C1v |
![]() ![]() ![]() C2v |
![]() ![]() ![]() C3v |
![]() ![]() ![]() C4v |
![]() ![]() ![]() C5v |
![]() ![]() ![]() C6v |
---|---|---|---|---|---|
![]() Order 2 |
![]() Order 4 |
![]() Order 6 |
![]() Order 8 |
![]() Order 10 |
![]() Order 12 |
![]() ![]() ![]() [2] = [2,1] D1h |
![]() ![]() ![]() ![]() ![]() [2,2] D2h |
![]() ![]() ![]() ![]() ![]() [2,3] D3h |
![]() ![]() ![]() ![]() ![]() [2,4] D4h |
![]() ![]() ![]() ![]() ![]() [2,5] D5h |
![]() ![]() ![]() ![]() ![]() [2,6] D6h |
![]() Order 4 |
![]() Order 8 |
![]() Order 12 |
![]() Order 16 |
![]() Order 20 |
![]() Order 24 |
![]() ![]() ![]() ![]() ![]() |
![]() ![]() ![]() ![]() ![]() |
![]() ![]() ![]() ![]() ![]() | |||
![]() Order 24 |
![]() Order 48 |
![]() Order 120 | |||
Coxeter notation expresses Coxeter groups as a list of branch orders of a Coxeter diagram, like the polyhedral groups, ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
In geometry, Coxeter notation (also Coxeter symbol) is a system of classifying symmetry groups, describing the angles between fundamental reflections of a Coxeter group in a bracketed notation expressing the structure of a Coxeter-Dynkin diagram, with modifiers to indicate certain subgroups. The notation is named after H. S. M. Coxeter, and has been more comprehensively defined by Norman Johnson.
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