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A rotation combined with an expansion or geometric contraction.

A ball of radius 1.

Kepler's original name for the small stellated dodecahedron.

A function f(x) has a vertical tangent line at x_0 if f is continuous at x_0 and lim_(x->x_0)f^'(x)=+/-infty.

The generalization of a Voronoi polygon to n dimensions for n>2.

The geometric centroid of a quadrilateral lamina is the center of its Wittenbauer's parallelogram.

A method of constructing uniform polyhedra.

Any sum of a selection of Pi_ks, where Pi_k denotes a k-D polytope.

A k-chain whose bounding (k-1)-chain vanishes.

The 11-cell is a regular 4-dimensional structure that cannot be represented in 3-dimensional space in any reasonable way and is highly self-intersecting even in 4-dimensional ...