Adventures in Mathematical Reasoning by Sherman Stein

Author:Sherman Stein
Language: eng
Format: epub, azw3
Publisher: INscribe Digital
Published: 2001-04-14T04:00:00+00:00

Because the couplets at the ends of this string are the same, we can bend the string into a circle. The figure below shows how this is done, first gradually forming a spiral, then figuratively gluing the matching ends pq together so the two p's merge and so do the two q's.

We can change any full string for triplets into a wheel with eight symbols in this manner. For instance, the full string for triplets, ababbbaaab, becomes the wheel shown here. (Read the wheel clockwise, starting at the leftmost a.)

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