Maths and music

Answers to Task 3a: the Symmetries of the Square

The 8 symmetries are:

• leaving the square alone
• rotating it through 90 degrees clockwise about its centre
• rotating it through 180 degrees clockwise about its centre
• rotating it through 270 degrees clockwise about its centre (or you could call that a rotation through 90 degrees anticlockwise)
• reflecting it about a vertical axis through the centre
• reflecting it about a horizontal axis through its centre
• reflecting it about a diagonal axis running from top left to bottom right through the centre
• reflecting it about a diagonal axis running from bottom left to top right through the centre

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