Szilassi Polyhedron
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Szilassi Polyhedron

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. The Szilassi polyhedron is a nonconvex polyhedron, topologically a torus, with seven hexagonal faces. Each face of this polyhedron shares an edge with each other face. As a result, it requires seven colours to colour each adjacent face, providing the lower bound for the seven colour theorem. It has an axis of 180-degree symmetry; three pairs of faces are congruent leaving one unpaired hexagon that has the same rotational symmetry as the polyhedron. The 14 vertices and...