structural:reformatting
Geometry

The geometric notions of an affine space, projective space, convex set, and cone have related notions of basis. An affine basis for an n -dimensional affine space is n + 1 {\displaystyle n+1} points in general linear position. A projective basis is n + 2 {\displaystyle n+2} points in general position, in a projective space of dimension n. A convex basis of a polytope is the set of the vertices of its convex hull. A cone basis consists of one point by edge of a polygonal cone. See also a Hilbert basis (linear programming).