M2617

Part of Kvant 2020

Problems(1)

Monochromatic triangle of area one

Source: Kvant Magazine No. 8 2020 M2617

The points in the plane are painted in 100 colors. Prove that there are three points of the same color that are the vertices of a triangle of area 1.
Proposed by V. Bragin

combinatorial geometrycombinatoricsKvant