My example of a fractal is a SNOWFLAKE. This is an example of a fractal because if you take away a fragment of the whole it looks just the same as the whole.
http://dazed.org/npa/npj/200008/fractal1.jpg
The video below explains how people we knew about fractals we would believe that math was present in nature/snowflakes due to symmetry, because the same pattern was viewed on both sides, so there was a complete balance.
http://www.youtube.com/watch?v=BLTr2MhRwdg
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