Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 10 - Geometry - 10.7 Beyond Euclidean Geometry - Exercise Set 10.7 - Page 677: 45

Answer

Doesn’t make sense.

Work Step by Step

Objects such as leaves, snowflakes, coastlines and human vascular system are naturally self-similar objects. Any magnified portion of these objects shows the same pattern as that of the whole object. This is the complex geometry that nature shows in many forms. The self-similar objects are also created through computers using iteration and this complex geometry of self-similar objects is called fractal geometry. Therefore, fractal geometry, and not Euclidean geometry, serves as an excellent model for describing the diverse forms that arise in nature. The given statement does not make sense.
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