Connection With Projective Planes
Given a planar ternary ring, one can construct a projective plane in this way ( is an extra symbol not in ):
- We define the incidence relation in this way :
One can prove that every projective plane is constructed in this way starting with a certain planar ternary ring. However, two nonisomorphic planar ternary rings can lead to the construction of isomorphic projective planes.
Read more about this topic: Planar Ternary Ring
Famous quotes containing the words connection with, connection and/or planes:
“Self-expression is not enough; experiment is not enough; the recording of special moments or cases is not enough. All of the arts have broken faith or lost connection with their origin and function. They have ceased to be concerned with the legitimate and permanent material of art.”
—Jane Heap (c. 1880–1964)
“Accept the place the divine providence has found for you, the society of your contemporaries, the connection of events.”
—Ralph Waldo Emerson (1803–1882)
“After the planes unloaded, we fell down
Buried together, unmarried men and women;”
—Robert Lowell (1917–1977)