3-Sphere

Stephen Leon Lipscomb
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Stephen Leon Lipscomb: University of Mary Washington

Chapter Chapter 1 in Art Meets Mathematics in the Fourth Dimension, 2014, pp 1-9 from Springer

Abstract: Abstract Since the beginning of human civilization, man has struggled to understand his universe. Ironically, the Aristotle (384-322 BC) spherical model, with earth at the center, was fundamental to Dante’s (1265-1321 AD) model which, in turn, underlies the so-called Einstein (1879-1955 AD) Universe. In common language, the Aristotle model involves a solid ball with a spherical surface, and Dante’s model adds a mirror-image solid ball to Aristotle’s and then joins them by “gluing their surfaces.” In 20th Century language, Dante constructed a three-sphere S 3; and the three sphere S 3 turned out to be fundamental to what is commonly called “Einstein’s Universe”. All of these models involve spheres constructed inside universes of dimensions three and four.

Keywords: Line Segment; Extra Dimension; Human Vision; Solid Ball; Dimension Perspective (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-06254-9_1

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DOI: 10.1007/978-3-319-06254-9_1

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