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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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Exercise your imagination, with fractional dimensions

Exercise your imagination, with fractional dimensions

(p.273) 45 Exercise your imagination, with fractional dimensions
How to Free Your Inner Mathematician

Susan D'Agostino

Oxford University Press

“Exercise your imagination, with fractional dimensions” offers a basic introduction to fractional dimensional objects. Unlike a one-dimensional line, a two-dimensional piece of paper, or a three-dimensional box, the dimension of a fractional dimensional object may not be represented by a whole number. The fractional dimensional Koch curve, for example, has approximately 1.26185 dimensions. The discussion is enhanced with numerous hand-drawn sketches providing instruction on how to construct and compute the dimension of the Koch curve. Mathematics students and enthusiasts are encouraged to exercise their imaginations in mathematical and life pursuits as a way of opening themselves up to more of life’s unusual possibilities. At the chapter’s end, readers may check their understanding by working on a problem. A solution is provided.

Keywords:   imagination, fractional dimension, Koch curve, math, student

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