Fano Plane - Block Design Theory

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:

    Get behind me, Satan! You are a stumbling block to me; for you are setting your mind not on divine things but on human things.
    Bible: New Testament, Matthew 16:23.

    Jesus to Peter.

    Teaching is the perpetual end and office of all things. Teaching, instruction is the main design that shines through the sky and earth.
    Ralph Waldo Emerson (1803–1882)

    By the “mud-sill” theory it is assumed that labor and education are incompatible; and any practical combination of them impossible. According to that theory, a blind horse upon a tread-mill, is a perfect illustration of what a laborer should be—all the better for being blind, that he could not tread out of place, or kick understandingly.... Free labor insists on universal education.
    Abraham Lincoln (1809–1865)