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:
“Man is a wingless animal with two feet and flat nails.”
—Plato (c. 427–347 B.C.)
“Have you ever been up in your plane at night, alone, somewhere, 20,000 feet above the ocean?... Did you ever hear music up there?... It’s the music a man’s spirit sings to his heart, when the earth’s far away and there isn’t any more fear. It’s the high, fine, beautiful sound of an earth-bound creature who grew wings and flew up high and looked straight into the face of the future. And caught, just for an instant, the unbelievable vision of a free man in a free world.”
—Dalton Trumbo (1905–1976)