Saturday, 13 March 2010

This should get the kids back into mathematics

Fibonacci Spiral

Seen over at imgur and also at fridley.

Fibonacci numbers are the numbers in the following order:
0,\;1,\;1,\;2,\;3,\;5,\;8,\;13,\;21,\;34,\;55,\;89,\;144,\; \ldots.
After the 0 and 1, each number is the sum of the previous two. A Fibonacci spiral can be created by drawing arcs connecting the opposite corners of squares in a Fibonacci tiling. In the picture above, the "squares" have side-lengths 1, 1, 2, 3, and 5.

Edit: Just in case it wasn't obvious, this post is more humour than maths. The curve would actually be a parabola (I think). If you look hard enough in nature, you can find all sorts of curves - see Fibonacci Flim-Flam for an overview of this idea.
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