Fredkin's Game

Fredkin's Game is a two-player mathematical puzzle involving a 3x3 grid with numbered tiles. Players take turns swapping two tiles or moving one tile into the empty space, aiming to reach a specific target arrangement. The game explores concepts of permutation and parity, illustrating how certain configurations can be rearranged through legal moves. It serves as a visual and interactive way to understand underlying principles of permutations, such as which arrangements are reachable through specific moves, highlighting fundamental ideas in combinatorics and group theory.