Related pagesLinear spaces
Steiner triple systems
lines through any given point. The number of lines becomes
In particular, we have the basic equation vr=kb. If v=b, then we have a so called symmetric design.
A Steiner System is called a block plan if . Obviously, the block plans are exactly the finite linear spaces with an equal number of points on each line. Special and important examples of these geometries are the finite affine and projective planes, respectively.