2player game, coloring lattice points
Source: 8th QEDMO problem 8 (15. 1. 2011) https://artofproblemsolving.com/community/c1512515_qedmo_200507
May 15, 2021
combinatoricslatticecombinatorial geometryColoring
Problem Statement
Albatross and Frankinfueter are playing again: each of them takes turns choosing one point in the plane with integer coordinates and paint it in his favorite color. Albatross plays first. Someone wins as soon as there is a square with all four corners in the are colored in their own color. Does anyone has a winning strategy and if so, who?