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Art Meets Mathematics in the Fourth Dimension

Name: Art Meets Mathematics in the Fourth Dimension
Brand: Springer International Publishing AG
SKU: 16082800
Price: 51.27 EUR
Availability: InStock
Author: Stephen Leon Lipscomb
ISBN: 9783319381046

Stephen Leon Lipscomb

Jezik

Engleski

Knjiga Meki uvez

Libristo kod: 16082800

Nakladnici Springer International Publishing AG, studeni 2016

To see objects that live in the fourth dimension we humans would need to add a fourth dimension to o... Cijeli opis

Libristo kod: 16082800

125 b

51.27 €

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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.