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Shadows of RealityThe Fourth Dimension in Relativity, Cubism, and Modern Thought$
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Tony Robbin

Print publication date: 2006

Print ISBN-13: 9780300110395

Published to Yale Scholarship Online: October 2013

DOI: 10.12987/yale/9780300110395.001.0001

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PRINTED FROM YALE SCHOLARSHIP ONLINE (www.yale.universitypressscholarship.com). (c) Copyright Yale University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in YSO for personal use.date: 19 September 2021

The Origins of Four-Dimensional Geometry

The Origins of Four-Dimensional Geometry

(p.3) 1 The Origins of Four-Dimensional Geometry
Shadows of Reality

Tony Robbin

Yale University Press

This chapter takes a look at four-dimensional geometry, which Hermann Grassmann envisioned as a system where space and its geometric elements and descriptions can be assumed to other dimensions. The chapter describes the advancements to four-dimensional geometry over the years, most notably with Washington Irving Stringham's approach. Here he defined coverings, or the three-dimensional cells of four-dimensional figures, that allowed the figures to be folded up. The chapter also looks at Victor Schlegel, William Story, T.P. Hall, and Simon Newcomb, who are all notable individuals in the history of the field. It can be noted that their efforts helped in the progress of four-dimensional geometry, which ended up entering the areas of fine arts and physics.

Keywords:   four-dimensional geometry, Hermann Grassmann, geometric elements, Washington Irving Stringham, coverings, Victor Schlegel, William Story, T.P. Hall, Simon Newcomb, history

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