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:
“... geometry became a symbol for human relations, except that it was better, because in geometry things never go bad. If certain things occur, if certain lines meet, an angle is born. You cannot fail. Its not going to fail; it is eternal. I found in rules of mathematics a peace and a trust that I could not place in human beings. This sublimation was total and remained total. Thus, Im able to avoid or manipulate or process pain.”
—Louise Bourgeois (b. 1911)