Fibonacci Sequence Illustrated by Nature [PICS]

Nature illustrating fibonacci? Isn't that a bit back to front?

Cool article, I love the Fibonacci blocks with the tank!

hey that's pretty cool

Maybe mathematics is a truly way to explain creations . And we mistakenly turns to religions

Just like the movie "Pi" from 1998. Cool.

Nature is amazing.

Really interesting stuff, apart from the observation that nautilus shells DO NOT grow with a golden ratio spiral http://www.sciencenews.org/view/generic/id/6030/title/Sea_Shell_Spirals

"To be honest, the sequence sees little publicity these days outside of a Dan Brown novel and the occasionally nerdy conversation which may or may not involve warp core propulsion mechanics."

Thankyou for perpetuating the stereotype.

That's amazing

i like penisez lololollolllllll

Although the Fibonacci sequence and the golden ratio do make important appearances in nature, many of these examples are misleading or downright wrong.

Nautilus shells and galaxy arms form logarithmic spirals, but NOT golden spirals. The construction of a "spiral" using blocks with fibonacci lengths creates an approximation of a golden spiral, but it's NOT actually a golden spiral. (see http://en.wikipedia.org/wiki/Golden_spiral).

The idea that bones in the human hand have a relationship to the fibonacci sequence is not supported by science: http://www.citeulike.org/user/tfx/article/3328470.

Finally, what is surprisingly omitted is the connection to nature that first caused Fibonacci to discover the sequence: an investigation of ideal population growth of rabbits.

Great article and very well written :)

Have you ever tried to superimpose the nautilus shell and the Fibonacci spiral? They don't fit! Try it.

... also shows up in the stock market.

a nautilus does not follow fibonacci's sequence

Woah!
GR8 article!

really nice post,i've learned this golden number in math at university...
When we see real examples is more interesting, so, thanks for this post

adeux

"A Fibonacci spiral is formed by starting with a rectangle whose sides measure one number in the Fibonacci sequence by its consecutive number in the sequence." This article is full of grammatical errors, irrelevant asides, and plain, pure obfuscation. Let's hope the math is better.

Nice pictures. The so-called Fibonacci sequence is actually Indian. Leonardo Fibonacci published it in Liber Abaci but it was known in India before that:

http://en.wikipedia.org/wiki/Fibonacci
http://en.wikipedia.org/wiki/Fibonacci_number
http://www.cs.okstate.edu/~subhashk/GoldenMean.pdf

from the wiki on Fibonacci_number:
"The Fibonacci sequence was well known in ancient India, where it was applied to the metrical sciences (prosody), long before it was known in Europe. Developments have been attributed to Pingala (200 BC), Virahanka (6th century AD), Gop?la (c.1135 AD), and Hemachandra (c.1150 AD).[4]"

Thank you; this is a great post!. Fibonacci is one of my inspirations in my digital artwork.

No romanesco broccoli? Come on.

ferns are another great example you could use

As Phil Dale alluded to, you've got the cart before the horse.

Nature doesn't follow mathematical sequences, but mathematical sequences are derived from observations of nature.

Very interesting--looks like Brad did his research....

penis has a fibonnaci sequence on it!

We have to forget about fixing fibonacci to this sort of mathematical production, we should recognize it's nature in the fractal geometry, where this complexity that is manifested through the iteration and reiteration of several algorithms and simple equations such as the one fibonacci happened to name. we should realize that this process of complexity is produced from a single, simple equation, one that enables us mathematically to apply and comprehend how nature itself is configured and how life itself, on this particular planet, is possible.

never the less, let us consider what took for us, universally, to exist.
this sort of geometry is one we can relate mathematically with our experience of what is REAL.

think about it.

How many times do we have to look amazing creations like this and think, "Wow, this must have happened by the process of genetic mutations and natural selection over millions of years"?

That is ABSURD.

I one were to find, in the middle of nowhere, 50 fruits in five rows of ten, would they honestly attribute it to chance?

These examples are incredible--but they beg for an explanation that's worthy of their complexity.

good way to explain fibonacci code

FTA Efforts have been made to improve the illustration with special effects.

The Fibonacci Sequence gives me anxiety

It is intriguing how this math proportion can be applied to real life. It's almost like our creator used a formula. I've tested the golden ratio out and found that even our bicep to forearm proportion matches that golden ratio too. Fascinating! They have good in depth stuff of that on wikipedia too: http://en.wikipedia.org/wiki/Golden_ratio

The Great Pyramids at Giza also conform to the golden ratio, curvature of the earth.

Interestingly enough the "Golden mean" mapped on earth is The Kabba in Mecca. The biggest gathering of humans on earth (they circumnavigate this) and it is also a prayer direction for the worship of God.

Fibonacci is a great trading indicator.. i always use it with combination other indicator and its give more accurate analysis

It's interesting that you showed a nautilus shell as a Fibonacci
spiral. Measurements of real nautilus shells indicate a ratio
of lengths of successive shell layers of about 1.33 instead
of the Fibonacci ration of 1.618... It suggests a better
model for the nautilus shell is the Padovan spiral that has
a ratio of 1.324718...

http://www.sciencenews.org/view/generic/id/6030/title/Sea_Shell_Spirals

sick as!! maths really can be cool

Really great content, I learnt a lot from reading this.

cool aritcle and awsm pics illustrating fibonacci in nature..

Such a great presentation of the Fibonacci sequence - thanks!

I thought the article was ecclent with good easy to understand examples interesting -- to quote Einstein "GOD dosen't play dice with nature" !!

u guys r ruhtards

great intro,
When You get a chance have a think about the sequence in relation to "hidden" dimensions and Einstein-Rosen bridges(wormholes for trekkies).Thanks
and adieu.May Your God be with You.