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Fibonacci numbers & golden section 1.618..
Message posted by T. LUK (via 203.83.78.208) on July 27, 2001 at 11:05 PM (ET)
I read some books above numbers are very very very closed. But they are calculated from different formula / method.
Are there are proof which shows they are the same ??
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Re: Fibonacci numbers & golden section 1.618..
Message posted by JG (via 128.8.22.37) on July 29, 2001 at 6:50 AM (ET)
Fibonacci numbers are a simple sequence of numbers whose ratios approach a certain limit. Limits, by definition, can be approached but never reached.
Re: Fibonacci numbers & golden section 1.618..
Message posted by Vagabondo (via 63.249.68.68) on September 1, 2001 at 12:29 AM (ET)
I dont think JG answered T.LOK's question. Maybe he should rephrase it.
Re: Fibonacci numbers & golden section 1.618..
Message posted by Vagabondo (via 63.249.68.68) on September 1, 2001 at 12:38 AM (ET)
...Yes, the series is "very close" to the Golden Section but not a perfect match. The series matches the section most closely at the 34/55 ratio....It narrows as you move down or until it disappears when the ratio is 1/1.
...I'll check this next but I suspect that the upper reaches of the series approaches the golden section but never quite reaches it. Probably because it's a form of infinity.
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