Block Design Theory
The Fano plane is a small symmetric block design, specifically a 2-(7,3,1)-design. The points of the design are the points of the plane, and the blocks of the design are the lines of the plane. As such it is a valuable example in (block) design theory.
Read more about this topic: Fano Plane
Famous quotes containing the words block, design and/or theory:
“Dug from the tomb of taste-refining time,
Each form is exquisite, each block sublime.
Or good, or bad,—disfigur’d, or deprav’d,—
All art, is at its resurrection sav’d;
All crown’d with glory in the critic’s heav’n,
Each merit magnified, each fault forgiven.”
—Martin Archer, Sir Shee (1769–1850)
“What but design of darkness to appall?—
If design govern in a thing so small.”
—Robert Frost (1874–1963)
“The struggle for existence holds as much in the intellectual as in the physical world. A theory is a species of thinking, and its right to exist is coextensive with its power of resisting extinction by its rivals.”
—Thomas Henry Huxley (1825–95)