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06/13/08 - Cutting An Odd Figure

Actually, we printed, cut and taped this rather odd figure. It's a Szillasi polyhedron, and with the hole in the center, it is equivalent to a torus. It has seven faces, each touching the other six, so it demonstrates that you need at least seven colors to color a torus, unless you don't mind adjacent patches having the same color. It's also kind of odd looking, so it makes a pleasant addition to Domaine Cliché's collection of oddities. If you want to find out more, and maybe even make one of these for yourself, check out our Szillasi Polyhedron page.

Keywords: art, science