Image:Hexominos.png

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All the 35 hexominoes. Yes, the filename is mispeled. This is an indexed .png file 337 x 433.

They're coloured according to their symmetry groups:

• 20 hexominoes (coloured black) have no symmetry. Their symmetry groups consist only of the identity mapping
• 6 hexominoes (coloured red) have an axis of mirror symmetry aligned with the gridlines. Their symmetry groups have two elements, the identity and an orthogonal reflection.
• 2 hexominoes (coloured green) have an axis of mirror symmetry at 45° to the gridlines. Their symmetry groups have two elements, the identity and a diagonal reflection.
• 5 hexominoes (coloured blue) have point symmetry, also known as rotational symmetry of order 2. Their symmetry groups have has two elements, the identity and a 180° rotation.
• 2 hexominoes (coloured purple) have two axes of mirror symmetry, both aligned with the gridlines. Their symmetry groups have four elements.

Generated and uploaded by AndrewKepert 01:02, 26 Nov 2003 (UTC)

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