Fibonacci Sequence Documentary - Golden Section Explained - Secret Teach...
Δημοσιεύτηκε στις 26 Ιαν 2016
Fibonacci Sequence Documentary, Golden Section Explained - Secret Teachings
The
Fibonacci spiral is named after Italian mathematician Fibonacci. His
1202 book Liber Abaci introduced the sequence to Western European
mathematics, although the sequence had been described earlier as
Virahanka numbers in Indian mathematics. By modern convention, the
sequence begins either with F0 = 0 or with F1 = 1. The sequence
described in Liber Abaci began with F1 = 1.
Fibonacci numbers are
closely related to Lucas numbers. They are intimately connected with
the golden ratio or golden mean; for example, the closest rational
approximations to the ratio are 2/1, 3/2, 5/3, 8/5, ...
Fibonacci
numbers appear unexpectedly often in mathematics, so much so that there
is an entire journal dedicated to their study, the Fibonacci Quarterly.
Applications of Fibonacci numbers 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, such as
branching in trees, phyllotaxis (the arrangement of leaves on a stem),
the fruit sprouts of a pineapple, the flowering of an artichoke, an
uncurling fern and the arrangement of a pine cone's bracts. This movie
also deals with the magical applications of the sequence, the pentagram
or pentacle being a Fibonacci spiral borrowed directly from nature, and
also many practical applications and mathematical ideas.
Subscribe to this channel - https://www.youtube.com/channel/UCPi6...
Fibonacci Sequence Wiki - https://en.wikipedia.org/wiki/Fibonac...
Math is Fun - https://www.mathsisfun.com/numbers/fi...
The Magic of the Fibonacci Sequence - http://www.wakingtimes.com/2014/12/28...
Life and Numbers of Fibonacci - https://plus.maths.org/content/life-a...
Platonic Realms - http://platonicrealms.com/encyclopedi...
Fibonacci biography - http://www-groups.dcs.st-and.ac.uk/~h...
The Fibonacci Association - http://www.mathstat.dal.ca/fibonacci/
Fibonacci Numbers in Nature - http://britton.disted.camosun.bc.ca/f...
Fibonacci Retracement - http://www.investopedia.com/ask/answe...
Fibonacci and the Golden Ratio - http://www.investopedia.com/articles/...
Fibonacci Quarterly - http://www.fq.math.ca/
The Fibonacci Project - http://www.fibonacci-project.eu/
Fifteen Uncanny Examples of the Golden Ratio in Nature - http://io9.gizmodo.com/5985588/15-unc...
As always, use this info to gather more info.
The
Fibonacci spiral is named after Italian mathematician Fibonacci. His
1202 book Liber Abaci introduced the sequence to Western European
mathematics, although the sequence had been described earlier as
Virahanka numbers in Indian mathematics. By modern convention, the
sequence begins either with F0 = 0 or with F1 = 1. The sequence
described in Liber Abaci began with F1 = 1.
Fibonacci numbers are
closely related to Lucas numbers. They are intimately connected with
the golden ratio or golden mean; for example, the closest rational
approximations to the ratio are 2/1, 3/2, 5/3, 8/5, ...
Fibonacci
numbers appear unexpectedly often in mathematics, so much so that there
is an entire journal dedicated to their study, the Fibonacci Quarterly.
Applications of Fibonacci numbers 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, such as
branching in trees, phyllotaxis (the arrangement of leaves on a stem),
the fruit sprouts of a pineapple, the flowering of an artichoke, an
uncurling fern and the arrangement of a pine cone's bracts. This movie
also deals with the magical applications of the sequence, the pentagram
or pentacle being a Fibonacci spiral borrowed directly from nature, and
also many practical applications and mathematical ideas.
Subscribe to this channel - https://www.youtube.com/channel/UCPi6...
Fibonacci Sequence Wiki - https://en.wikipedia.org/wiki/Fibonac...
Math is Fun - https://www.mathsisfun.com/numbers/fi...
The Magic of the Fibonacci Sequence - http://www.wakingtimes.com/2014/12/28...
Life and Numbers of Fibonacci - https://plus.maths.org/content/life-a...
Platonic Realms - http://platonicrealms.com/encyclopedi...
Fibonacci biography - http://www-groups.dcs.st-and.ac.uk/~h...
The Fibonacci Association - http://www.mathstat.dal.ca/fibonacci/
Fibonacci Numbers in Nature - http://britton.disted.camosun.bc.ca/f...
Fibonacci Retracement - http://www.investopedia.com/ask/answe...
Fibonacci and the Golden Ratio - http://www.investopedia.com/articles/...
Fibonacci Quarterly - http://www.fq.math.ca/
The Fibonacci Project - http://www.fibonacci-project.eu/
Fifteen Uncanny Examples of the Golden Ratio in Nature - http://io9.gizmodo.com/5985588/15-unc...
As always, use this info to gather more info.
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