Talk:List of spherical symmetry groups

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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)[reply]

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)[reply]

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)[reply]

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)[reply]

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)[reply]

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)[reply]

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)[reply]

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

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)[reply]