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    Polyhedron Diagonal

    Definition

    The diagonal of a polyhedron is any line segment connecting two nonadjacent vertices of the polyhedron. Any polyhedron having no diagonals must have a skeleton which is a complete graph. The only simple polyhedron with no diagonals is the tetrahedron. The only known toroidal polyhedron with no diagonals is the Császár polyhedron.

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