# Template talk:Symmetry

From LifeWiki

Can we get some documentation for this template? I know what, say, D8 symmetry is, but "complete square symmetry" is not something I understand right way. Apple Bottom (talk) 22:50, 8 April 2016 (UTC)

- Sorry for not doing this sooner. I posted documentation.
- Are there other suggested (simpler but not ambiguous) names for these categories? I would argue that names like "D4" is not only confusing for someone who hasn't seen it before but also that it is ambiguous, since for example "D4" refers to two different symmetries (either symmetry of the D
_{4}group which is all symmetry and what Catagolue calls "D8", or Catagolue's "D4" which is reflection in both orthogonal axes). FractalFusion (talk) 18:48, 9 April 2016 (UTC)

- Thanks for the documentation!

- Yes, good point about D4 having distinct possible meanings. Catagolue uses D4_+ and D4_x to designate these, and also distinguishes whether the axes of symmetry fall between rows/columns of cells, or on them. So there is, for instance, D4_+1, D4_+2 and D4_+4, as well as D4_x1 and D4_x4, and assuming you know what these mean they'll you exactly what sort of symmetry a pattern has. (FWIW the D8_* symmetries on Catagolue are also distinct, and both represent actual D8 symmetry.)

- Of course the notation is rather opaque if you're not familiar with it, and on top of that I don't know if the finer distinctions are in widespread use in the Life community. Either way I'd suggest adding a page on Symmetry explaining the different ways in which a pattern can be symmetric; this might also help Catagolue users. Apple Bottom (talk) 12:42, 10 April 2016 (UTC)