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Poincare, Jules Henri (1854-1912)

Talk with M. Hermite. He never evokes a concrete image, yet you soon perceive that the more abstract entities are to him like living creatures.

In G. Simmons Calculus Gems, New York: McGraw Hill Inc., 1992.

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Loci: Convergence

Euler Squares

by Elaine Young

Knight's Move

Referring to Figure 6, place pegs of one shape (star) down a main diagonal. Beginning with the corner color (pink), choose another shape (circle) and place that color on the pegboard by counting out the knight’s move in chess, over two and up one. Continue placing shapes (square, hexagon, and triangle) of the same color using the knight’s move, “wrapping” around behind the board when necessary (see arrows in Figure 6). Continue placing shapes in the same order, ensuring that colors are placed on the knight’s move. This method also produces diagonalization by shape but incorporates a new color pattern.

 

Figure 6:  Wrapping around using the knight's move


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