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The Goldner-Harary polyhedron is the term given in this work to the polyhedral embedding of the Goldner-Harary graph. This solid is an augmented triangular dipyramid, a ...

Two distinct knots cannot have the same exterior. Or, equivalently, a knot is completely determined by its knot exterior (Cipra 1988; Adams 1994, p. 261). The question was ...

The great retrosnub icosidodecahedron, also called the great inverted retrosnub icosidodecahedron is the uniform polyhedron with Maeder index 74 (Maeder 1997), Wenninger ...

The great rhombic triacontahedron, also called the great stellated triacontahedron, is the dual of great icosidodecahedron uniform polyhedron. It is a zonohedron and a ...

The great snub dodecicosidodecahedron is the uniform polyhedron with Maeder index 64 (Maeder 1997), Wenninger index 115 (Wenninger 1989), Coxeter index 80 (Coxeter et al. ...

The great snub icosidodecahedron is the uniform polyhedron with Maeder index 57 (Maeder 1997), Wenninger index 116 (Wenninger 1989), Coxeter index 88 (Coxeter et al. 1954), ...

700 The great triambic icosahedron is the dual of the great ditrigonal icosidodecahedron U_(47) and Wenninger model W_(87) whose appearance is the same as the medial triambic ...

The great truncated icosahedron, also called the truncated great icosahedron, is the uniform polyhedron with Maeder index 55 (Maeder 1997), Wenninger index 95 (Wenninger ...

For any positive integer k, there exists a prime arithmetic progression of length k. The proof is an extension of Szemerédi's theorem.

The grid shading problem is the problem of proving the unimodality of the sequence {a_1,a_2,...,a_(mn)}, where for fixed m and n, a_i is the number of partitions of i with at ...