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The statement "The group contains 5 versions of Th with 20 versions of D3 (10 axes, 2 per axis), and 6 versions of D5" is erroneous and should be corrected to "The group contains 5 versions of Th with 30 versions of D3 (10 axes, 3 per axis), and 30 versions of D5 (6 axes, 5 per axis)"
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I think that it is in order to begin with a paragraph that introduces the subject in common terms (known to people who haven't taken university courses in the subject). Thereafter, any technical term should be explained and/or linked to an explanatory article.
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is and I don't get a summary of the article; it is presenting specific points about symmetries, some of which appear to be in the body and some that don't. They may make more sense in the lead if there were a proper introduction to the topic.
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Yes, I think that is a good improvement that introduces the subject. There is likely an opportunity to further expand the lead to summarize more of the page, but your edit addresses my major concern. Thank you for the help.
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I'm not sure what to like "symmetry" to however. The main (math) article is much too general. I haven't found a simple explanation is what is meant by a geometric symmety in
Knowledge yet... Am I missing this?
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I added the cleanup tag because this article needs more work. I like the examples added at the end, but they should be cleaned up, and data tables (pasted from elsewhere) removed as redundant and messy.
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In a drive-by tagging in 2020, you added the lead-rewrite tag to this article. What did/do you consider to be the problem with the lead section?
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The first table in the section "As a point group" has a typo in the column "Abstract structure": the two entries are switched around.
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This article starts directly in mathematical language. For instance, the word "symmetry" is used with no link or explanation.
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Please do not remove data tables, it is convenient to have data about examples together on this page.--
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I do not see tables from elsewhere, just selected parts regarding the subject of the article.--
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In subgroups/polyhedron stabilisers, the article seems to claim that there is a subgroup of
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is ..."), instead of jumping into an explanation about sets of symmetries and orders. Per
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For a start, the lead should include the subject of the article and describe it (e.g., "
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The following
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has order 24, which would contradict
Lagrange's theorem. Surely this can't be right? --
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There are several places where information on symmetry groups can be found...
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Shouldn't the article say how the icosahedra; group acts on the icosahedron?
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Please remove the cleanup tag. I see no point for it. Please note that "
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A Commons file used on this page has been nominated for deletion
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And thank you for the subsequent article improvements!
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