Projective Geometry
In the theory of projective planes, oval is used to mean a set of n + 1 points in a projective plane of order n, with no three on a common line (no three points are collinear). See oval (projective plane).
An ovoid in the finite projective geometry PG(3,q), is a set of q2 + 1 points such that no three points are collinear. At each point of an ovoid all the tangent lines to the ovoid lie in a single plane.
Read more about this topic: Oval
Famous quotes containing the word geometry:
“The geometry of landscape and situation seems to create its own systems of time, the sense of a dynamic element which is cinematising the events of the canvas, translating a posture or ceremony into dynamic terms. The greatest movie of the 20th century is the Mona Lisa, just as the greatest novel is Gray’s Anatomy.”
—J.G. (James Graham)