We didn't invent mathematics, we discovered it. Fibonacci numbers - from Wikipedia : The Fibonacci sequence is named after Fibonacci . His 1202 book [Liber Abaci](http://en.wikipedia.org/wiki/Liber Abaci "Liber Abaci") introduced the sequence to Western European mathematics,[[5]](http://en.wikipedia.org/wiki/Fibonacci number#cite note-FOOTNOTEPisano2002404.E2.80.935-5) although the sequence had been described earlier in [Indian mathematics](http://en.wikipedia.org/wiki/Indian mathematics "Indian mathematics").[[6]](http://en.wikipedia.org/wiki/Fibonacci number#cite note-GlobalScience-6)[[7]](http://en.wikipedia.org/wiki/Fibonacci number#cite note-HistoriaMathematica-7)[[8]](http://en.wikipedia.org/wiki/Fibonacci number#cite note-Donald Knuth 2006 50-8) By modern convention, the sequence begins either with F 0 = 0 or with F 1 = 1. The Liber Abaci began the sequence with F 1 = 1.Fibonacci numbers are closely related to [Lucas numbers](http://en.wikipedia.org/wiki/Lucas number "Lucas number") in that they are a complementary pair of Lucas sequences . They are intimately connected with the golden ratio ; for example, the closest rational approximations to the ratio are 2/1, 3/2, 5/3, 8/5, ... . Applications include computer algorithms such as the Fibonacci search technique and the Fibonacci heap data structure, and graphs called Fibonacci cubes used for interconnecting parallel and distributed systems. They also appear in biological settings,[[9]](http://en.wikipedia.org/wiki/Fibonacci number#cite note-S. Douady and Y. Couder 1996 255.E2.80.93274-9) such as branching in trees, phyllotaxis (the arrangement of leaves on a stem), the fruit sprouts of a pineapple ,[[10]](http://en.wikipedia.org/wiki/Fibonacci number#cite note-Jones 2006 544-10) the flowering of an artichoke , an uncurling fern and the arrangement of a pine cone 's bracts.[[11]](http://en.wikipedia.org/wiki/Fibonacci number#cite note-A. Brousseau 1969_525.E2.80.93532-11) *** More amazing fractal geometry images demonstrating how complexity in nature can spontaneously arise from simple repeated mathematical patterns or algorithms here Melvyn Bragg and guests discuss the Fibonacci Sequence here   
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