Talk:List of spherical symmetry groups

Untitled

I started this article while trying to understand the Symmetry Groups named with the polyhedral solid articles.

User:Patrick linked in article Point_groups_in_three_dimensions (Thanks!) which is very helpful, but I think this article is still useful for a quick reference.

I never heard of point-groups before and might have never found that article since I was thinking "sphere"!

I'll be working to get more sphere symmetry images showing the fundamental domains.

I'd like to keep this article short (printable in 1-2 pages), but at least some column descriptions would be helpful to add at the bottom.

Tom Ruen 23:40, 9 October 2005 (UTC)

rotation groups?

It would be great to list the rotation groups separately. It's hard to tell right now, which ones are rotation groups.--345Kai 08:13, 29 September 2006 (UTC)

Reworked

I made some major reworking, including all the symmetry notations I've found in various sources. Tom Ruen (talk) 05:16, 23 June 2011 (UTC)

Merge?

Should this article be merged into Point groups in three dimensions?

It seems to me that the content of this article strongly overlaps the content of the point-group article, with the exception of the diagrams.

Lpetrich (talk) 21:43, 3 July 2011 (UTC)

The intention of this article is a compact list of groups and notations. (+I'm still looking to see how widely used the Conway notation is.) More cross-linking is be good. If you want to copy tables from here (w/o diagrams, or Conway notation), that seems useful! -Tomruen 75.146.178.58 (talk) 05:49, 5 July 2011 (UTC)

Subgroup relations

I'm interested in showing subgroup 'tree' structures like these, although I don't have a definitive source listing all subgroups of a given 3D point group (These trees were only confirmed via Stella (software), which computes the symmetry and subgroups from a given polyhedron), so I thought I'd post my effort here, until I can get confirmation. Tom Ruen (talk) 01:09, 13 October 2012 (UTC)

Tetrahedral symmetry	Octahedral symmetry	Icosahedral symmetry

Here's a similar tree for [4,3], and [6,2] subgroups, using Intl notation: SockPuppetForTomruen (talk) 21:46, 6 November 2012 (UTC)

Hi, I've made tidy SVG versions of the above graphs. ~ Keiji (iNVERTED) (Talk) 16:53, 2 March 2014 (UTC)

Tetrahedral symmetry	Octahedral symmetry	Icosahedral symmetry

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Geo

Geo is in column headings, but it is never defined. If it is an abbreviation, it should be followed by a period. Comfr (talk) 18:02, 2 September 2023 (UTC)