game on equilateral grid - All-Russian MO 1996 Regional (R4) 9.4
Source:
September 23, 2024
combinatoricscombinatorial geometrygame
Problem Statement
There is a token in one of the nodes of a hexagon with side , divided into regular triangles (see figure). Two players take turns moving it to one of the neighboring nodes, and it is forbidden to go to a node that the token has already visited. The one who loses who can't make a move. Who wins with the right game?
https://cdn.artofproblemsolving.com/attachments/2/f/18314fe7f9f4cd8e783037a8e5642e17f4e1be.png