July 2013
Intermediate to advanced
282 pages
6h 28m
English
Content preview from Good Math
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Different Kinds of Symmetry
There are more kinds of symmetry than just mirrors. For example, look at the folloiwng figure, which shows multiple symmetries on a hexagon. A hexagon has two different kinds of mirror symmetries. But going beyond the mirror symmetry, it also has rotational symmetry: if you rotate a hexagon by 60 degrees, it’s indistinguishable from the hexagon before rotation.
Figure 12. Multiple symmetries—hexagon:
Hexagons have multiple symmetries—two kinds of mirror symmetry and a rotational symmetry.
All sorts of transformations can be described by groups as long as there’s some way in which the transformation can be performed ...
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I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.