The Fibonacci Series
Fibonacci Leonardo of Pisa (1170-1250), nickname Fibonacci, was born in Pisa, Italy. He made many contributions to mathematics, but is best known by laypersons for the sequence of numbers which carries his name:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, ...
This sequence is constructed by choosing the first two numbers (the "seeds" of the sequence) then assigning the rest by the rule that each number be the sum of the two preceding numbers. This simple rule generates a sequence of numbers having many surprising properties, of which we list but a few:
Take any three adjacent numbers in the sequence, square the middle number, multiply the first and third numbers. The difference between these two results is always 1.
Take any four adjacent numbers in the sequence. Multiply the outside ones. Multiply the inside ones. The first product will be either one more or one less than the second.
The sum of any ten adjacent numbers equals 11 times the seventh one of the ten. Mesoamericans thought the numbers 7 and 11 were special.
This is but one example of many sequences with simple recursion relations.
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The author goes on to explain how this is a classic example of people being bamboozled by a pattern that may explain nothing.
The author contends that the Golden Ratio is overhyped nonsense that has never answered any great question but is held up as the proof that "God is a Mathematician".
Indeed there are many people with an agenda to use science to prove their religion. We are seeing quite a lot of this in the area of quantum physics at the moment. This is a good area for such things because of the heavy reliance of quantum physics on mathematics.
The whole science of quantum physics rests on the premise of the Planck Constant, a magic number, derived as much from magic as science.
We have moved from deterministics science that is proved by observable phenomena, to a probabilistic science that is based on the mumbo jumbo of mathematical concepts and has moved into theology.
Furthermore, they have created the wonderful "peer review" process. Lots of people (who are on the same side) all chime in and agree with concepts that go where they want them to, but disagree with those that lead elsewhere. In this way a theological council is created that determines what is a Theory and what is not.
Excellent article indeed, shows why you have to dig beneath the surface of anything that is presented by our scientists. A knowledge of their agenda will usually help . People in our current society accept too much on faith yet they doubt God, how strange.
This was my favourite piece:
"Of course all of this is patently nonsense. Mathematics doesn´t "explain" anything in nature, but mathematical models are very powerful for describing patterns and laws found in nature. I think it´s safe to say that the Fibonacci sequence, golden mean, and golden rectangle have never, not even once, directly led to the discovery of a fundamental law of nature. When we see a neat numeric or geometric pattern in nature, we realize we must dig deeper to find the underlying reason why these patterns arise. "
What he is basically saying is that you should look beyond the theory because a set of facts can be used to produce multiple theory´s, often totally contradictory to each other, but each provable by the same facts.
Something to bear in mind when considering things like the Ganesh particle theory.
Reminds me of a quote by Einstein,
"If the facts don´t prove your theory then just change your facts".
This is the full excellent article.
http://www.lhup.edu/~dsimanek/pseudo/fibonacc.htm