If looking at this picture, what do you see? A plant?Picture from reference 1How about now? A tree with number of branches in the same level:  1, 2, 3, 5, 8, 13 ….Picture from reference 1Those are Fibonacci numbers.Can we model it differently? How about a tree structure2?


b
|
a
_|_
a b
_| \
a b a
_| | |_
a b a a b
_| | |_ |_ \
a b a a b a b a

Or, more precisely, a model described by the following2:


Initial State: b
b -> a
a-> ab

At what level did we exactly subtract knowledge? I think the picture is our data; and the numbers, or the tree are information; when we built the model, or when we know that the numbers are Fibonacci numbers, that’s when we subtracted knowledge – “the number of branches in any stage of the sneezewort plant growth is a Fibonacci number, and can be represented by such a model… However, even when we built the model, we might still not know that this model will generate a Fibonacci number. That, as I understand, shows that knowledge have different levels – as we might think, the Fibonacci numbers may represents something we haven’t found out, or there are some patterns hidden in this number, similar to we saw in the movie Pi. By the way, the plants does exist in nature, it’s called sneezewortReference:1. Fibonacci Numbers in Nature. at http://britton.disted.camosun.bc.ca/fibslide/jbfibslide.htm2. i501_lecture7_slides.pdf. at http://www.informatics.indiana.edu/rocha/i501/pdfs/i501_lecture7_slides.pdf

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