MathDB

2

Part of 1989 Austrian-Polish Competition

Problems(1)

equilateral triangle with monochromatic vertices (2 colours only)

Source: Austrian Polish 1989 APMC

4/30/2020
Each point of the plane is colored by one of the two colors. Show that there exists an equilateral triangle with monochromatic vertices.
Coloringcombinatoricscombinatorial geometryEquilateral