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Titlebook: Art Meets Mathematics in the Fourth Dimension; Stephen Leon Lipscomb Book 2014Latest edition Springer International Publishing Switzerland

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发表于 2025-3-21 17:07:01 | 显示全部楼层 |阅读模式
期刊全称Art Meets Mathematics in the Fourth Dimension
影响因子2023Stephen Leon Lipscomb
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发行地址Develops the concept of the hypersphere dimensions as it relates to art, architecture, and mathematics.Includes illustrations to support mathematical analyses.Discusses computer software that enables
图书封面Titlebook: Art Meets Mathematics in the Fourth Dimension;  Stephen Leon Lipscomb Book 2014Latest edition Springer International Publishing Switzerland
影响因子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
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Grundlagen der Corporate Governance joins them by “gluing their surfaces.” In 20th Century language, Dante constructed a three-sphere ..; and the three sphere .. turned out to be fundamental to what is commonly called “Einstein’s Universe”. All of these models involve . constructed inside universes of dimensions three and four.
发表于 2025-3-22 05:45:56 | 显示全部楼层
hematical analyses.Discusses computer software that enables 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 i
发表于 2025-3-22 10:20:12 | 显示全部楼层
Problemstellung und Zielsetzung der Arbeit constructs the Empyrean as a mirror image of the classical Aristotle universe, and then “glues their 2-sphere boundaries” to form a 3-sphere. We essentially follow the article . by Mark Peterson, American Journal of Physics 47 (1979).
发表于 2025-3-22 15:59:10 | 显示全部楼层
,Dante’s 3-Sphere Universe, constructs the Empyrean as a mirror image of the classical Aristotle universe, and then “glues their 2-sphere boundaries” to form a 3-sphere. We essentially follow the article . by Mark Peterson, American Journal of Physics 47 (1979).
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