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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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Conclusion: Art, Math, and Technical Drawing

Conclusion: Art, Math, and Technical Drawing

(p.114) 11 Conclusion: Art, Math, and Technical Drawing
Shadows of Reality

Tony Robbin

Yale University Press

This chapter reviews the key concepts related to projective geometry, which is the field that has helped develop thinking on physics and mathematics. It first looks at the fact that Felix Klein admitted that projective geometry (e.g. the dual nature of objects) is important in developing thought. From here the discussion shifts to a study of the classical definition of time, before turning to the idea of space. The spatial model, light rays, the state space of quantum particles, and quantum foam are the other concepts that are reviewed in this chapter. The discussion ends with the main purpose of the book, which is as a proposal to remove the slicing model of four-dimensional figures and spacetime from one's thinking and replace it with the projection model to avoid blocks.

Keywords:   projective geometry, Felix Klein, time, space, spatial model, light rays, quantum particles, quantum foam, slicing model, projection model

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