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Euler Squares - Knight's Move

Elaine Young

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

Elaine Young, "Euler Squares - Knight's Move," Convergence (May 2011)