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Opis

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.

Szczegóły książki

Kategoria Książki po angielsku Mathematics & science Mathematics Topology

• Pełny tytuł: Art Meets Mathematics in the Fourth Dimension
• Autor: Stephen Leon Lipscomb
• Język: Angielski
• Oprawa: Miękka
• Liczba stron: 184
• EAN: 9783319381046
• ISBN: 3319381040
• ID: 16082800
• Wydawca: Springer International Publishing AG
• Waga: 4392 g
• Wymiary: 254 × 178 × 9 mm
• Data wydania: 17. November 2016

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