Wolfram Demonstrations Project
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Group of Symmetries of the Square

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.

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DETAILS

The operations are defined as follows:
= identity
= rotation 90° clockwise about the center
= rotation 180° clockwise around
= rotation 270° clockwise around
= reflection through the horizontal center line
= reflection through the vertical center line
= reflection through the main diagonal (upper-left to bottom-right vertex)
= reflection through the other diagonal (bottom-left to upper-right vertex)

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PERMANENT CITATION

"Group of Symmetries of the Square" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/GroupOfSymmetriesOfTheSquare/
Contributed by: Enrique Zeleny
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