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A translation along a straight line L and a rotation about L such that the angle of rotation is proportional to the translation at each instant. Also known as a twist.

The mathematical object kappa which controls the rate of geodesic deviation.

A conjecture that, as proved by Parshin (1968), implies the Mordell conjecture.

External (or positive) and internal (or negative) similarity points of two circles with centers C and C^' and radii r and r^' are the points E and I on the lines CC^' such ...

A curve similar to the sine function but possibly shifted in phase, period, amplitude, or any combination thereof. The general sinusoid of amplitude a, angular frequency ...

The dual polyhedron of the small retrosnub icosicosidodecahedron and Wenninger dual W_(118).

The small world problem asks for the probability that two people picked at random have at least one acquaintance in common.

A curve on the surface of a sphere. Examples include the baseball cover, Seiffert's spherical spiral, spherical helix, and spherical spiral.

The image on the Riemann sphere of any circle under a complex rational mapping with numerator and denominator having degrees no more than n has length no longer than 2npi.

A function f(x) is said to be square integrable if int_(-infty)^infty|f(x)|^2dx is finite.