Problem of the Week
for Friday, February 10
The Cube Game is played by two players. The players start at opposite corners of a cube.
Instead of taking turns, the players move at the same time. Each player moves from his current
position to any adjacent corner. The game ends when both players move to the same corner.
What is the length of the shortest possible game?
Eli's Solution: It is immpossible for the 2 people to collide. Here's how. No matter how you look the 2 people begin 3 steps away. On the first move, if they go towards each other they will be one apart. If they ar 1 apart, they can only go back to 3 apart or switch places. If they move away from each other, they will still be 3 points away from each other. |