noun - An infinite set of points extending into n dimensions. A one dimensional hyperplane is a line, two-dimensional is a plane, three dimensional is a realm, and four-dimensional is a flune. A hyperplane of n dimensions intersects a plane of n+1 dimensions into two parts. See the chart under tetraspace.

An affine set of dimension (n-1): {x: a'x = b}, where a is a nonzero vector, called the normal of the hyperplane.

a plane of various dimensions - the dimension of the plane is equal to l , the number of bits in the string

a concept in geometry

an example on a linear manifold