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I remained cheerful during faculty meetings by practicing writing backwards, upside down, and upside down and backwards, with both hands and the high hope of reaching perfection. I also doodled a checkered cube repeatedly to a point of wretched excess. I enjoyed filling in every other little square, though I was never able to alternate the colors of the checkers with complete success.
Is it possible to checker a cube completely? I think checkers of the same color will invariably meet at four of the cube's twelve edges. (Fig. 1 shows one of these flawed edges.) I've discovered, however, two ways to steer clear of this problem:
Or, if you're drawing a picture, you can simply eliminate the checkering problem by lopping off the offending checkers (fig. 3). This surgical method is used in "Blue Checkered Cloth" and "Spot of Sky".
