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How to Free Your Inner MathematicianNotes on Mathematics and Life$
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Susan D'Agostino

Print publication date: 2020

Print ISBN-13: 9780198843597

Published to Oxford Scholarship Online: April 2020

DOI: 10.1093/oso/9780198843597.001.0001

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Go outside your realm of experience, on a hypercube

Go outside your realm of experience, on a hypercube

(p.259) 43 Go outside your realm of experience, on a hypercube
How to Free Your Inner Mathematician

Susan D'Agostino

Oxford University Press

“Go outside your realm of experience, on a hypercube” explains how and why mathematicians conceive of cubes in many dimensions, including a four-dimensional hypercube. Einstein’s special theory of relativity and the mathematics of string theory—a subfield of physics that seeks to understand the structure of the universe—both require more than the three dimensions with which we are familiar. The discussion, which focuses on how to make a four-dimensional hypercube, is enhanced with numerous hand-drawn sketches. Mathematics students and enthusiasts are encouraged to go outside their realm of experience in both mathematical and life pursuits. At the chapter’s end, readers may check their understanding by working on a problem. A solution is provided.

Keywords:   hypercube, dimension, four-dimensional, fourth dimension, theory of relativity, math, student

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