By studying nature you can observe in its truest form, architectural and structural genius. Whether you believe in intelligent design or evolution, the natural world is a perfectly designed structure, a millennia of genetic refinement, or combination of the both.
Though seemingly random, through close observation a pattern of simple repetition is showcased in even the simplest of forms.
http://upload.wikimedia.org/wikipedia/commons/3/32/Golden_Rectangle_Construction.svg
http://www.xgoldensection.com/xgoldensection.html
http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibnat.html
Fibonacci sequences are not in all natural forms, but still it is erie how often it is found.
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