HW2, Chapter 1 problem 13, Discussion, MA453, Prof. Walther

Problem Statement:

Can somebody please write the problem statement?

If you name the vertices of the four rectangles A, B, C, and D.

The rectangle would appear thus:

The rectangle would have four transformations:

Rotation of 0º (or 360º) : $R_{0}$

Rotation of 180º: $R_{180}$

Flip About a Horizontal Axis: $H$

Flip About a Vertical Axis: $V$

From this, the Cayley table can easily be constructed.