Galileo Galilei said he was reading the book of nature as he
observed pendulums swinging, but he might also simply have tried to
draw the numbers themselves as they fall into networks of
permutations or form loops that synchronize at different speeds, or
attach themselves to balls passing in and out of the hands of good
jugglers. Numbers are, after all, a part of nature. As such,
looking at and thinking about them is a way of understanding our
relationship to nature. But when we do so in a technical,
professional way, we tend to overlook their basic attributes, the
things we can understand by simply looking at numbers.
Tom Johnson is a composer who uses logic and mathematical models,
such as combinatorics of numbers, in his music. The patterns he
finds while looking at numbers can also be explored in drawings.
This book focuses on such drawings, their beauty and their
mathematical meaning. The accompanying comments were written in
collaboration with the mathematician Franck Jedrzejewski.
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