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Galilei, Galileo (1564-1642)

Measure what is measurable, and make measurable what is not so.

Quoted in H. Weyl, "Mathematics and the Laws of Nature" in I. Gordon and S. Sorkin (eds.), The Armchair Science Reader, New York: Simon and Schuster, 1959.

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Loci: Convergence

Euler Squares

by Elaine Young

Diagonalization

Placing a single color down a main diagonal of the pegboard begins this method. Then place another color on a parallel diagonal, noting this will leave a single peg of that color to be placed in the opposite corner. Continue to diagonalize by color. This is an eye-pleasing and symmetrical solution. Double diagonalization can be accomplished by placing color on one main diagonal and shape on the other second diagonal (see Figure 5).

 

Figure 5: double diagonalization solution

 


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