Icosian game

The Icosian Game is a mathematical and combinatorial puzzle created by the British mathematician Sir William Rowan Hamilton in 1857. It involves finding a Hamiltonian path or cycle in a polyhedron's graph structure, specifically related to the vertices of an icosahedron. In the game, players are tasked with finding a route that visits each of the 12 vertices of a regular icosahedron exactly once and returns to the starting point.