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.
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Famous quotes containing the words block, design and/or theory:
“For Jews demand signs and Greeks desire wisdom, but we proclaim Christ crucified, a stumbling block to Jews and foolishness to Gentiles...”
—Bible: New Testament, 1 Corinthians 1:22-3.
“What but design of darkness to appall?—
If design govern in a thing so small.”
—Robert Frost (1874–1963)
“The weakness of the man who, when his theory works out into a flagrant contradiction of the facts, concludes “So much the worse for the facts: let them be altered,” instead of “So much the worse for my theory.””
—George Bernard Shaw (1856–1950)