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)
“Nowadays the host does not admit you to his hearth, but has got the mason to build one for yourself somewhere in his alley, and hospitality is the art of keeping you at the greatest distance. There is as much secrecy about the cooking as if he had a design to poison you.”
—Henry David Thoreau (1817–1862)
“The theory of rights enables us to rise and overthrow obstacles, but not to found a strong and lasting accord between all the elements which compose the nation.”
—Giuseppe Mazzini (1805–1872)