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331 Chinese Lattice Designs—Seeing What You Do<br />

The four lattices I’ve shown are checkerboard designs like this one<br />

in which a given motif<br />

is inscribed in squares in a rectangular array. The ‘‘H’’ alternates this way and that, left<br />

to right from side to side<br />

to correspond to contrasting colors or distinct labels (symbols). This makes it easy<br />

to use my schemas—first, x fi x þ tðxÞ to produce the checkerboard pattern, followed<br />

by x fi divðxÞ to inscribe the H and divide squares. There are two rules for the<br />

checkerboard<br />

where x is a square and an asymmetrically placed point to orient the H with respect to<br />

left and right diagonals. And going back and forth from rule 1 to rule 2, I get the series<br />

of shapes

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