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Art Meets Mathematics in the Fourth Dimension. 2nd ed. 2014

Art Meets Mathematics in the Fourth Dimension. 2nd ed. 2014

・ISBN 978-3-319-06253-2 hard EUR 49.99

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お気に入り
著者・編者Lipscomb, Stephen Leon,
出版社 (Springer International Publishing AG, SZ)
出版年月2014
ページ数184 pp.
言語ENG
ニュース番号<A05-38363>

解説

To see objects that live in the fourth dimension we humans would need to add a fourth dimension to our three-dimensional vision. An example of such an object that lives in the fourth dimension is a hyper-sphere or "3-sphere." The quest to imagine the elusive 3-sphere has deep historical roots: medieval poet Dante Alighieri used a 3-sphere to convey his allegorical vision of the Christian afterlife in his Divine Comedy. In 1917, Albert Einstein visualized the universe as a 3-sphere, describing this imagery as "the place where the reader's imagination boggles. Nobody can imagine this thing." Over time, however, understanding of the concept of a dimension evolved. By 2003, a researcher had successfully rendered into human vision the structure of a 4-web (think of an ever increasingly-dense spider's web). In this text, Stephen Lipscomb takes his innovative dimension theory research a step further, using the 4-web to reveal a new partial image of a 3-sphere. Illustrations support the reader's understanding of the mathematics behind this process. Lipscomb describes a computer program that can produce partial images of a 3-sphere and suggests methods of discerning other fourth-dimensional objects that may serve as the basis for future artwork.