A question about dissecting spherical triangles - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-23T08:24:40Z http://mathoverflow.net/feeds/question/32299 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/32299/a-question-about-dissecting-spherical-triangles A question about dissecting spherical triangles Garabed Gulbenkian 2010-07-17T17:41:32Z 2010-07-17T19:23:36Z <p>Do there exist spherical triangles which are not isoceles but are the union of a finite collection of (two or more) congruent triangles with pairwise disjoint (and non-empty) interiors?</p> http://mathoverflow.net/questions/32299/a-question-about-dissecting-spherical-triangles/32307#32307 Answer by Tom Goodwillie for A question about dissecting spherical triangles Tom Goodwillie 2010-07-17T19:23:36Z 2010-07-17T19:23:36Z <p>Yes. Take any equilateral triangle and divide it into six congruent triangles barycentrically. The union of three of those parts is a non-isosceles right triangle.</p>