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The dual of the inverted snub dodecadodecahedron U_(60) and Wenninger dual W_(114).

The dual of the snub dodecadodecahedron U_(40) and Wenninger dual W_(111).

A one-dimensional line segment where two two-dimensional faces of an n-dimensional polytope meet, also called a side.

There are 10 stellated regular 4-polytopes (Wells 1991, p. 209).

A relation "<=" is called a preorder (or quasiorder) on a set S if it satisfies: 1. Reflexivity: a<=a for all a in S. 2. Transitivity: a<=b and b<=c implies a<=c. A preorder ...

Associated with an irreducible curve of curve genus p, there are p linearly independent integrals of the first sort. The roots of the integrands are groups of the canonical ...

A right pyramid is a pyramid for which the apex lies directly above the centroid of the base. A regular pyramid is therefore a special case of a right pyramid.

The root lattice of a semisimple Lie algebra is the discrete lattice generated by the Lie algebra roots in h^*, the dual vector space to the Cartan subalgebra.

A polygon whose vertices do not all lie in a plane.

How can n points be distributed on a unit sphere such that they maximize the minimum distance between any pair of points? This maximum distance is called the covering radius, ...