Thinking Mathematically (6th Edition)

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

Chapter 5 - Number Theory and the Real Number System - 5.5 Real Numbers and Their Properties; Clock Addition - Exercise Set 5.5 - Page 310: 77

Answer

Seven-fold rotational symmetry.

Work Step by Step

Consider the given design. Rotate it with the${{\left( \frac{360}{7} \right)}^{\circ }}={{51.43}^{\circ }}$. It will be same as original shape. On $7$ such rotations, the same position will achieve. Thus, the given design has seven-fold symmetry.
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