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 Dec16 awarded Caucus Jan30 awarded Yearling May25 comment Monochromatic degenerate triangles in a two-coloring of the plane So a monochromatic (1,1,1) implies a (1,1,2) fairly quickly, as does a (2,2,2). But our abundance of $\sqrt{3}$ length equilaterals gets us nothing. May20 answered Modified two child problem. Find the probability that both are girls, given that at least one is a girl born in March. May19 awarded Student May18 comment Monochromatic degenerate triangles in a two-coloring of the plane Oops - swapped an Exists for a For All. Thanks @Phira. May18 revised Monochromatic degenerate triangles in a two-coloring of the plane Fixed exists/forall mixup May17 asked Monochromatic degenerate triangles in a two-coloring of the plane May15 comment Monochromatic triangles in a two-coloring of the plane Thanks for the reference, @ZsbánAmbrus May15 awarded Editor May15 revised Monochromatic triangles in a two-coloring of the plane added 12 characters in body May15 asked Monochromatic triangles in a two-coloring of the plane May15 awarded Supporter May15 awarded Revival May14 answered Identical colored squares in plane May11 comment Identical colored squares in plane One nice consequence of the requirement that square edges be parallel to table edges is this: Three squares pairwise intersecting implies overlap of all three. May11 comment Identical colored squares in plane No, @RossMillikan is right: use of the geometry of the squares is crucial. His counterexample that ignores the shape/size/orientation requirements is enough to show this. Jul1 awarded Teacher Jul1 answered Vertices of intersection between N spheres