Question 73
Olga and Sasha play a game on an infinite hexagonal grid. They take alternating turns in placing a counter on a free hexagon of their choice, with Olga opening the game. Beginning from the 2018th move, a new rule will come into play. A counter may now be placed only on those free hexagons having at least two occupied neighbours.
A player loses when she or he either is unable to make a turn, or has filled a pattern of the rhomboid shape below with counters (rotated in any possible way). Determine which player, if any, possesses a winning strategy.
A player loses when she or he either is unable to make a turn, or has filled a pattern of the rhomboid shape below with counters (rotated in any possible way). Determine which player, if any, possesses a winning strategy.