(a) The vertices of a regular 10-gon are painted in turn black and white. Two people play the following game . Each in turn draws a diagonal connecting two vertices of the same colour . These diagonals must not intersect . The winner is the player who is able to make the last move. Who will win if both players adopt the best strategy?
(b) Answer the same question for the regular 12-gon . (V.G. Ivanov) combinatorial geometrycombinatoricsregular polygonColoringdiagonalgame strategygame