Coloring

Puzzles

• cheese.cubeA cube of cheese is divided into 27 subcubes.
• four.color[ Editor: Has the four-color map problem been solved, and what about coloring maps on surfaces of higher genus, such as the torus? New
• four.color.proofFind the flaw in this short "proof" of the four color theorem. New, unsolved
• kites.and.darts.gameDevise a two-player game based on 3-coloring a tiling of kites and darts. New
• painted.cubeA painted wooden cube is cut into n^3 identical smaller cubes; give formulas for how many of the small... New
• triominoesThere is a chess board (of course with 64 squares).
• two.colored.planeAn infinite plane is colored in red and blue, each spot of color being finite. New
• unit.distanceColor every point of the plane with one of N colors so that no two points at distance 1 from one another have the same color. New