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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.
Contributed by:
Enrique Zeleny
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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)
RELATED LINKS
Group
(
Wolfram
MathWorld
)
Multiplication Table
(
Wolfram
MathWorld
)
Rotation
(
Wolfram
MathWorld
)
Reflection
(
Wolfram
MathWorld
)
Symmetry
(
Wolfram
MathWorld
)
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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