Talk:Digon

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"Physically impossible"? Mathworld has an illustration of a digon, along with a very different definition: "The digon is the degenerate polygon (corresponding to a line segment) with Schläfli symbol { 2 } ." Also, Dr. Micah Fogel at the Illinois Mathematics and Science Academy defines digons (and monogons) as "two special curved polygons that have no analogs among polygons with straight edges." Clearly a straight-edged digon would be physically impossible -- but do polygons necessarily have to have straight edges? Could two points connected by two curved lines qualify as a digon? The University of Wisconsin Oshkosh has a website discussing, "the two-sided polygon called a lune," including illustrations on how to calculate the area of such two-sided polygons. I'm not a mathematician, but after just five minutes of google searches I've found at least three sources that seem to be at-odds with the wikipedia definition. Could someone more knowledgeable about geometry expand (and correct, if need be) this article? 66.17.118.207 16:54, 6 June 2006 (UTC)

[edit] regular digon?

I don't think it makes sense to distinguish a regular digon. That is to say all digons on the sphere are regular since the edges must be great circles and two nonparallel great circles must intersect on two opposite points.

If there's no opinions, I'll remove the regular claim. Tom Ruen 01:23, 21 December 2006 (UTC)

Small correction perhaps. A digon can exist in a degenerate form on a sphere, just like in a degenerate form on the plane. So the only NONDEGENERATE digon on the sphere exists with polar vertices. Tom Ruen 01:27, 21 December 2006 (UTC)

Okay, I got creative, expanded an explantion of digons in polyhedra for Wythoff constructions. It might get a little off topic, but it was a pretty short article with just a definition! Tom Ruen 02:12, 21 December 2006 (UTC)

[edit] Oh no!

Didn't we all agree to let digons be bygones? McKay 05:40, 11 January 2007 (UTC)