Question

A regular 24-sided polygon is rotated with its center of rotation at its center.

What is the smallest degree of rotation needed to map the polygon back on to itself?

Answer 1

The smallest degree of rotation is called the angle of rotation. This can be calculated by dividing the angle of full rotation by the number of sides of a regular polygon. Since a full rotation is 360 degrees, we divide 360 by 24.

Thus, the smallest rotation needed to map the polygon back to itself is 15 degrees.