# empty triangle

## Monochromatic empty triangles ★★★

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If is a finite set of points which is 2-colored, an *empty triangle* is a set with so that the convex hull of is disjoint from . We say that is *monochromatic* if all points in are the same color.

**Conjecture**There exists a fixed constant with the following property. If is a set of points in general position which is 2-colored, then it has monochromatic empty triangles.

Keywords: empty triangle; general position; ramsey theory