Talk:Equidissection

Next steps

If anyone would like to improve this article, here are my general ideas. I hope this helps!

The Overview section is just an overview of the best results and the background necessary to understand what they say. The History section is really for anything else, including partial results and (high-level) explanations of proof techniques. There is much more material that could be added to both sections. I don't think it would be terribly valuable to walk through the proof process in detail, building up intermediate lemmas or anything like that, but widely useful lemmas might be mentioned in either section if they help smooth anything over.

There's probably some amount of rebalancing to be done between this article and Monsky's theorem. Some of the history and generalizations can be copied over there. It might then be appropriate to slim down the corresponding passages here. But not too much; we wouldn't want this article to place undue weight on the other results. There should be an even level of detail throughout.

As far as I know, the Bibliography section already contains the entire literature on the subject! Many of the articles haven't yet been referenced in the body, so there's an obvious opportunity for expansion. It would also be nice to add MR numbers to the citation templates.

The article should have more diagrams: more examples of dissections and visualizations of proofs. Most treatments of Monsky's theorem color the vertices red, green, and blue, so these colors should be avoided for other purposes. In the lead image, I colored the triangle interiors cyan, yellow, and magenta. Melchoir (talk) 21:35, 6 August 2012 (UTC)

Re the choice of colors for the diagrams: see User:KSmrq#Opponent colors for a set of colors chosen to be more legible to color-blind people. —David Eppstein (talk) 21:46, 6 August 2012 (UTC)

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