I think they explain each other. Fibonacci sequences have been noted to appear in biological settings, such as the branching patterns of leaves in grasses and flowers, branching in bushes and trees, the arrangement of pines on a pine cone,seeds on a raspberry, and spiral patterns in horns and shells (see phyllotaxis). The scales on the surface of a pineapple are arranged in two interlocking spirals, eight spirals in one direction, thirteen in the other; each being a Fibonacci number. Przemyslaw Prusinkiewicz has advanced the idea that these can be in part understood as the expression of certain algebraic constraints on free groups, specifically as certain Lindenmayer grammars.
Generally one sees Fibonacci numbers arise in the study of the fractal Fuchsian groups and Kleinian groups, and systems that possess such symmetries. For example, the solutions to reaction-diffusion differential equations (such as that seen in the Belousov-Zhabotinsky reaction) can show such a patterning; in biology, genes often express themselves through gene regulatory networks, that is, in terms of several enzymes controlling a reaction, which can be modelled with reaction-diffusion equations. Such systems rarely give the Fibonacci sequence exactly or directly; rather, the relationship occurs deeper in the theory. Similar patterns also occur in non-biological systems, such as in sphere packing models.
2006-08-13 17:19:15
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answer #1
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answered by Jerry M 3
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Absolutely not.
Scientific experiments are necessary simply because mathematics is not a perfect predictor of physical reality.
This is because mathematical reality and fantasy are made of the same stuff and where they diverge is nebulous at best.
Mathematics only describes nature to a finite degree of precision.
There is no mandatory interrelationship between what mathematics predicts and the physical reality we experience. All equations have a finite range of application, such as Newtonian theories of motion which have now been replaced by relativistic theories of motion in higher physics. Eventually, even relativity will require modification or replacement with another theory to go beyond its domain.
2006-08-13 17:19:22
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answer #2
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answered by Jay T 3
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have you ever heard of the number phi(1.618), like pi it goes on forever, but unlike pi this number occurs in more than just circles. it occurs in nature too, all over the place, plants and animals are proportionate to the number phi, Leonardo Davinci used it a lot, the number is all over the human body. This number i believe is the connection between math and nature. Math does not explain nature and vice versa. Rather they compliment each other, you can separate them and code and categorize them, however together they are even better. Phi
2006-08-13 17:08:01
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answer #3
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answered by Solomon Dump 3
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I think Mathematics exists apart from nature, and can only model itself. An "explanation" requires philosophy, which isn't provided in math.
2006-08-13 17:02:55
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answer #4
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answered by Anonymous
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A large part of studying nature is, of course, biology. To study biology you have to know chemistry. To study chemistry, you have to know physics. To study physics you have to know mathematics. So, mathematics must explain nature. :)
2006-08-13 17:03:56
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answer #5
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answered by cool_breeze_2444 6
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a paradox.
my answer is neither.
if there was no nature, there would not be any mathematics to base it upon, howerver, since there is nature, mathematics helps us understand the way it works in a way that is understandable to us.
2006-08-13 17:02:24
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answer #6
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answered by Borna F 2
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definite I do. in line with possibility it may be greater proper to declare good judgment fairly than arithmetic yet contained in the tip it makes no distinction. each and every thing we see would be defined with the aid of equations and formula. generally human beings get puzzled and picture that stuff like "love" and "sacrifice" can not be defined by utilising maths yet they might.. they're basically waves dealing with our neurons right this moment to our brains, responding to the outdoors international. needless to say in case you have faith in God then that's harder to have faith because of the fact God does not in positive condition into it everywhere. that's why i do no longer.
2016-09-29 06:00:44
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answer #7
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answered by ? 4
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lol.. ur thoughts determine ur dreams sometimes and your dreams determine you thoughts other times....by logic, nature explains maths and maths explains nature..........
2006-08-13 17:05:51
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answer #8
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answered by Funk-Ski Biznez Man 4
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