Wikipedia:Reference desk/Archives/Mathematics/2014 July 5

= July 5 =

How to categorize these images?
I recently uploaded these two images to supplement the four referenced in the Fundamental polygon article. What categories should I put them in? In particular, I don't know if they're actually fundamental polygons or not: it's been a while since I've proven that something is a closed surface. Jbeyerl (talk) 17:37, 5 July 2014 (UTC)
 * It's not definite, but I lean against those ending up being manifolds. The group representation for the first would be A2 = 1, and the second would be A2B&minus;2 = 1.  — Arthur Rubin  (talk) 01:17, 8 July 2014 (UTC)
 * A2 = 1 is the projective plane. For the second, by cutting diagonally from the top left to the bottom right, then gluing along A, you get the standard presentation of the Klein bottle.--Antendren (talk) 04:42, 8 July 2014 (UTC)