Definitions for ovoidˈoʊ vɔɪd
This page provides all possible meanings and translations of the word ovoid
an egg-shaped object
egg-shaped, elliptic, elliptical, oval, oval-shaped, ovate, oviform, ovoid, prolate(adj)
rounded like an egg
Something that is oval in shape.
Shaped like an oval.
Egg-shaped; shaped like an oval, but more tapered at one end; ovate.
In the projective space PG, with q a prime power greater than 2, an ovoid is a set of points, no three of which are collinear. When the largest set of non-collinear points has size eight and is the complement of a plane. An important example of an ovoid in any finite projective three-dimensional space are the points of an elliptic quadric. When q is odd or, no ovoids exist other than the elliptic quadrics. When another type of ovoid can be constructed : the Tits ovoid, also known as the Suzuki ovoid. It is conjectured that no other ovoids exist in PG. Through every point P on the ovoid, there are exactly tangents, and it can be proven that these lines are exactly the lines through P in one specific plane through P. This means that through every point P in the ovoid, there is a unique plane intersecting the ovoid in exactly one point. Also, if q is odd or every plane which is not a tangent plane meets the ovoid in a conic.
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