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If you name the verticies of the four rectangles A, B, C, and D.
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=[[HW2_MA453Fall2008walther|HW2]], Chapter 1 problem 13, Discussion, [[MA453]], [[user:walther|Prof. Walther]]=
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Problem Statement:
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'''Can somebody please write the problem statement?'''
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If you name the vertices of the four rectangles A, B, C, and D.
  
 
The rectangle would appear thus:
 
The rectangle would appear thus:
Line 6: Line 13:
 
The rectangle would have four transformations:
 
The rectangle would have four transformations:
  
Rotation of 0º (or 360º) : R_0
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Rotation of 0º (or 360º) : <math>R_{0}</math>
  
 
[[Image:R0_MA453Fall2008walther.png]]
 
[[Image:R0_MA453Fall2008walther.png]]
  
  
Rotation of 180º: R_180
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Rotation of 180º: <math>R_{180}</math>
  
 
[[Image:R180_MA453Fall2008walther.png]]
 
[[Image:R180_MA453Fall2008walther.png]]
  
  
Flip About a Horizontal Axis: H
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Flip About a Horizontal Axis: <math>H</math>
  
 
[[Image:H_MA453Fall2008walther.png]]
 
[[Image:H_MA453Fall2008walther.png]]
  
  
Flip About a Vertical Axis: V
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Flip About a Vertical Axis: <math>V</math>
  
 
[[Image:V_MA453Fall2008walther.png]]
 
[[Image:V_MA453Fall2008walther.png]]
  
 
From this, the Cayley table can easily be constructed.
 
From this, the Cayley table can easily be constructed.
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[[HW2_MA453Fall2008walther|Back to HW2]]
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[[Main_Page_MA453Fall2008walther|Back to MA453 Fall 2008 Prof. Walther]]

Latest revision as of 16:31, 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: 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

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