The Flat Projective Plane
In the projective plane P2, a point x is represented by the homogeneous coordinate (x1, x2, x3). If we think of (x1, x2, x3) as a point in real space R3 with the third value of the homogeneous coordinate as a value in the z direction, then P2 can be visualized as R3.
Read more about this topic: Real Projective Plane
Famous quotes containing the words flat and/or plane:
“I don’t like your miserable lonely single “front name.” It is so limited, so meagre; it has no versatility; it is weighted down with the sense of responsibility; it is worn threadbare with much use; it is as bad as having only one jacket and one hat; it is like having only one relation, one blood relation, in the world. Never set a child afloat on the flat sea of life with only one sail to catch the wind.”
—D.H. (David Herbert)
“We’ve got to figure these things a little bit different than most people. Y’know, there’s something about going out in a plane that beats any other way.... A guy that washes out at the controls of his own ship, well, he goes down doing the thing that he loved the best. It seems to me that that’s a very special way to die.”
—Dalton Trumbo (1905–1976)