MathDB

3

Part of 1998 Swedish Mathematical Competition

Problems(1)

moves on a cube 5x5

Source: 1998 Swedish Mathematical Competition p3

4/2/2021
A cube side 55 is made up of unit cubes. Two small cubes are adjacent if they have a common face. Can we start at a cube adjacent to a corner cube and move through all the cubes just once? (The path must always move from a cube to an adjacent cube).
combinatorics