(New page: If you name the verticies of the four rectangles A, B, C, and D. The rectangle would appear thus: Image:R0.png The rectangle would have four transformations: Rotation of 0º (or 360...)
 
Line 11: Line 11:
  
  
Rotation of 180º: <math>R_180</math>
+
Rotation of 180º: <math>R_(180)</math>
  
 
[[Image:R180_MA453Fall2008walther.png]]
 
[[Image:R180_MA453Fall2008walther.png]]

Revision as of 17:16, 7 September 2008

If you name the verticies 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.

Alumni Liaison

Prof. Math. Ohio State and Associate Dean
Outstanding Alumnus Purdue Math 2008

Jeff McNeal