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The trilinear quotient of two points p:q:r and u:v:w is the point p/u:q/v:r/w.

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 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 point at which a curve or function crosses the x-axis (i.e., when y=0 in two dimensions).