Problem #PRU-5147

Problems Combinatorics

Problem

Jess and Tess are playing a game colouring points on a white plane. Jess is moving first, she chooses a colourless point on a plane and colours it red. Then Tess makes a move, she chooses \(2022\) colourless points on the plane and colours them all green. Jess then moves again, and they take turns. Jess wins if she manages to create a red equilateral triangle on the plane, Tess is trying to prevent that from happening. Will Jess always eventually win?