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Titlebook: Looking at Numbers; Tom Johnson,Franck Jedrzejewski Book 2014 Springer Basel 2014 nature.platonic.symmetry

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发表于 2025-3-21 16:38:57 | 显示全部楼层 |阅读模式
书目名称Looking at Numbers
编辑Tom Johnson,Franck Jedrzejewski
视频videohttp://file.papertrans.cn/589/588628/588628.mp4
概述Mathematics and music from a platonic point of view.Numbers as Pythagoras might have seen them.Numbers producing images and music too ?.Includes supplementary material:
图书封面Titlebook: Looking at Numbers;  Tom Johnson,Franck Jedrzejewski Book 2014 Springer Basel 2014 nature.platonic.symmetry
描述.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..​.
出版日期Book 2014
关键词nature; platonic; symmetry
版次1
doihttps://doi.org/10.1007/978-3-0348-0554-4
isbn_softcover978-3-0348-0553-7
isbn_ebook978-3-0348-0554-4
copyrightSpringer Basel 2014
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Book 2014hemselves 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
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Clarinet Trio,ways to do this. If you don’t believe me, or if you want to know how this was calculated (and if you are not a specialist, you probably don’t), you can consult his article in the ., No. 22 (2000) [5].
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Permutations,mber in one of these drawings represents a particular note in a particular composition, but all the numbers here represent a particular point in some sort of logical sequence, in some system of permutations or combinations, in some network of sets and subsets.
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,Kirkman’s Ladies, A Combinatorial Design,f my “counting music”, even simpler ones, but I was always interested in finding new directions in all this. One new direction presented itself quite unexpectedly in 2003, when I heard a piece by a young Dutch composer, Samuel Vriezen. Using a scale of only 11 notes, Vriezen constructed 11 five-note
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