Group of Symmetries of the Square

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The table shows the group of symmetries of a square. Two operations of the group are applied successively to the colored squares. Their product is shown in the table.
Contributed by: Enrique Zeleny (March 2011)
Open content licensed under CC BY-NC-SA
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Details
The operations are defined as follows:
= identity
Permanent Citation
"Group of Symmetries of the Square"
http://demonstrations.wolfram.com/GroupOfSymmetriesOfTheSquare/
Wolfram Demonstrations Project
Published: March 7 2011