An inversive plane is a class of incidence structure in mathematics.
It may be axiomatised by taking two classes, "points" and "circles" (or "blocks") with the properties
- any three points lie on exactly one circle;
- if P and Q are points and c a circle with P on c and Q not, then there is exactly one circle e containing P and Q and intersecting c only in P;
- there are four points not all on the same circle.
The finite inversive planes are precisely the designs. Such a design is always a Steiner system.
Read more about Inversive Plane: Ovoids, Derived Designs and Extensions
Famous quotes containing the word plane:
“with the plane nowhere and her body taking by the throat
The undying cry of the void falling living beginning to be something
That no one has ever been and lived through screaming without enough air”
—James Dickey (b. 1923)