Latest revision as of 15:31, 22 October 2010

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.

@@ Line 1: / Line 1: @@
-If you name the verticies of the four rectangles A, B, C, and D.
+=[[HW2_MA453Fall2008walther|HW2]], Chapter 1 problem 13, Discussion, [[MA453]], [[user:walther|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:
@@ Line 6: / Line 13: @@
 The rectangle would have four transformations:
-Rotation of 0º (or 360º) : <math>R_{180}</math>
+Rotation of 0º (or 360º) : <math>R_{0}</math>
 [[Image:R0_MA453Fall2008walther.png]]
-Rotation of 180º: <math>R_{0}</math>
+Rotation of 180º: <math>R_{180}</math>
 [[Image:R180_MA453Fall2008walther.png]]
-Flip About a Horizontal Axis: H
+Flip About a Horizontal Axis: <math>H</math>
 [[Image:H_MA453Fall2008walther.png]]
-Flip About a Vertical Axis: V
+Flip About a Vertical Axis: <math>V</math>
 [[Image:V_MA453Fall2008walther.png]]
 From this, the Cayley table can easily be constructed.
+----
+[[HW2_MA453Fall2008walther|Back to HW2]]
+[[Main_Page_MA453Fall2008walther|Back to MA453 Fall 2008 Prof. Walther]]