For most people, the word “polyhedron” conjures up an image of a cube, a tetrahedron, or something similar—a solid figure with flat faces. If the polyhedron is regular, each face has the ...

The resulting polyhedron looks like a faceted, angular wreath or crown. In effect, the flatness of the original rectangle is preserved in the individual faces of this toroidal polyhedron.

The (3,6)-polyhedra have precisely 4 triangular faces and they cover the complete graph K 4. Therefore, the eigenvalues 3, -1, -1, -1 of K 4 are also eigenvalues of every (3,6)-polyhedron. Patrick ...

It is known that we can always 3-triangulate (i.e. divide into tetrahedra with the original vertices) convex polyhedra but not always non-convex ones. Polyhedra topologically equivalent to ball with p ...

He asked if there are 3 matchings that collectively cover all but two edges in a 2-connected toroidal cubic graph. Archdeacon, Bonnington, and Siran (unpublished work) have examined many ...