Any 2-coloring of the scope of equilateral triangle must create a monochromatic rectangular triangle ? - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-24T18:10:44Z http://mathoverflow.net/feeds/question/38420 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/38420/any-2-coloring-of-the-scope-of-equilateral-triangle-must-create-a-monochromatic-r Any 2-coloring of the scope of equilateral triangle must create a monochromatic rectangular triangle ? itamar 2010-09-11T18:55:16Z 2010-09-12T00:08:04Z <p>Hello All,</p> <p>I'm trying to prove something that we know that is correct but can't find how to do it or any example to show how to solve it.</p> <p>Any 2-coloring of the scope of equilateral triangle must create a monochromatic rectangular triangle (That all of its vertexes and in the same color and they are positioned on the scope of the original triangle).</p> <p>This problem is connected to Ramsey theory.</p> <p>Does anyone know how to prove it ?</p> <p>Cheers,</p> <p>Itamar</p>