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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: R0 MA453Fall2008walther.png

The rectangle would have four transformations:

Rotation of 0º (or 360º) : $ R_{0} $

R0 MA453Fall2008walther.png


Rotation of 180º: $ R_{180} $

R180 MA453Fall2008walther.png


Flip About a Horizontal Axis: $ H $

H MA453Fall2008walther.png


Flip About a Vertical Axis: $ V $

V MA453Fall2008walther.png

From this, the Cayley table can easily be constructed.


Back to HW2

Back to MA453 Fall 2008 Prof. Walther

Alumni Liaison

Correspondence Chess Grandmaster and Purdue Alumni

Prof. Dan Fleetwood