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Let the divisor function d(n) be the number of divisors of n (including n itself). For a prime p, d(p)=2. In general, sum_(k=1)^nd(k)=nlnn+(2gamma-1)n+O(n^theta), where gamma ...

Johnson solid J_(90).

The path traced out by a point P on the edge of a circle of radius b rolling on the outside of a circle of radius a. An epicycloid is therefore an epitrochoid with h=b. ...

An area-preserving affine transformation. Equiaffinities include the crossed hyperbolic rotation, elliptic rotation, hyperbolic rotation, and parabolic rotation.

The radius of the smallest circle centered at one of the points of an N-cluster, which contains all the points in the N-cluster.

A 100-sided polygon, virtually indistinguishable in appearance from a circle except at very high magnification.

A circle-preserving transformation composed of an even number of inversions.

A polynomial with real positive coefficients and roots which are either negative or pairwise conjugate with negative real parts.

A curve created by starting with a circle, dividing it into six arcs, and flipping three alternating arcs. The process is then repeated an infinite number of times.

An unsolved problem in mathematics attributed to Lehmer (1933) that concerns the minimum Mahler measure M_1(P) for a univariate polynomial P(x) that is not a product of ...