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Fibonacci in nature - patterns around us

If you think math is not cool (or if you think math is cool) you should watch these videos. Vi Hart is a "recreational mathemusician" that has put together a series of videos that demonstrate mathematics to kids using doodling games. This particular set of videos looks at things in nature that mimic the Fibonacci series.

Part 1:

http://youtu.be/ahXIMUkSXX0

Part 2:

http://youtu.be/lOIP_Z_-0Hs
Part 3:

http://youtu.be/14-NdQwKz9w

Thing is, they are really good for adults as well, and even though I consider myself pretty well versed in math, her methods really make me think. I would highly recommend her entire "Doodling in Math Class" series, as well her other videos.

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the periodic table of elements also works better

as a Fibonacci Spiral:
https://www.youtube.com/watch?v=qhg2uOSb-LA

Don't feed the pandas. Ever.

Great videos...

Thanks for posting.

Inspiration

I used the Fibonacci sequence and phi as inspiration for the columns and the granite statue in this video

http://www.youtube.com/watch?v=OdjrwF1OO7c

---Want to discuss politics with Mormons? Please read:

"Latter Day Liberty"-Connor Boyack(forward by Ron Paul

Doctrine and Covenants sections 134 & 89

Watch Secretary of Agg Ezra Taft Benson's discourse on "The Proper Role of Government"

Hey Mike

I am in my Masters Thesis for Architecture and will be demonstrating spatial designs just as you did.

what program did you use for your building renders?

They that give up liberty for security deserve neither.

The Romans used Fibonacci

The Romans used Fibonacci sequences in their constructions too, long before Fibonacci...in fact fibonacci proportions seem to be the most pleasing to the eye and tend to show up naturally in most construction. When other proportions are used, often the structure looks "odd" to us.

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"Ehhh, What's ups Doc?" B.Bunny "Scwewy Wabbit!"E. Fudd
People's Awareness Coalition: Deprogramming Sequence

Yes

My Masters Thesis is on the Fibionacci sequence in nature and architecture spaces.

The old roman and greek structures followed these principles and now its obvious as to why these buildings are 'sacred'

They that give up liberty for security deserve neither.

WOW

“Sell your cleverness and buy bewilderment”

Rumi

Bump

.

So glad I watched this

.

Cyril's picture

Also, on markets, Fibonacci Extensions, Retracements :

Also, on markets, Fibonacci Extensions, Retracements :

http://fibonaccigenius.com/fibonacci-explained/

http://fibonaccigenius.com/fibonacci-retracements/

(Though their actual usefulness / practicability is still the subject of debates.)

"Cyril" pronounced "see real". I code stuff.

http://Laissez-Faire.Me/Liberty

"To study and not think is a waste. To think and not study is dangerous." -- Confucius

If you read my post below

If you read my post below that begins about DNA, RN Elliott pioneered Fibonacci ratios in relation to markets. Someone trying to predict markets with Fibonacci retracement is going to likely be somewhat lost without knowing Elliott wave theory, and likewise Elliott wave theory requires knowing Fibonacci ratio.

----------------------------------------------------------
"Ehhh, What's ups Doc?" B.Bunny "Scwewy Wabbit!"E. Fudd
People's Awareness Coalition: Deprogramming Sequence

Cyril's picture

Thank you for the pointers.

Thank you for the pointers. Interesting. Looks promising read.

I won't miss to give a try to grok that.

"Cyril" pronounced "see real". I code stuff.

http://Laissez-Faire.Me/Liberty

"To study and not think is a waste. To think and not study is dangerous." -- Confucius

Sort of related

A short BBC video on bubbles:

https://www.youtube.com/watch?v=GKvT1lRWhE0

Sorry, the geek in me just can't get enough of this stuff.

Nature itself is a feedback loop with simple rules.

The rules are so simple and start at the subatomic level that every new variable entered as part of the input from the previous run of the equation will end up with patterns emerging. Beautiful patterns that are incredibly complex. But change one small factor somewhere early in the process and the pattern becomes vastly different.... but the method of creating the pattern doesn't change. Pattern formation is woven into the fabric of the universe and that naturally gives rise to more ever more complex patterns. Chaos and pattern are built into nature's most basic rules.

And that applies to any system that includes feedback loops and self organization, like evolution.

Are math patterns in nature evidence of Design?

Jefferson referred to, "the Laws of Nature and Nature's God", as the foundation on which to base his appeal for our independence from England and our duty as sovereigns. When consistent patterns emerge from the structure of DNA to the spirals of galaxies; AND ignorance of such patterns is taught throughout our school systems; then the systematic removal of such profound knowledge appears to have been purposely done to weaken the persuasive appeal to a Higher Law than man's.

http://www.youtube.com/watch?v=eYDwWbDhCEg

Find out just what any people will quietly submit to and you have the exact measure of the injustice and wrong which will be imposed on them. - Frederick Douglass

The Fibonacci sequence in Tool's Lateralus

This is awesome. It has been a long time since I stumbled upon the Fibonacci. Thanks for posting!

Worth watching. Great rock & roll mathmatics!
http://www.youtube.com/watch?v=wS7CZIJVxFY

Fibonacci numbers are a sequence in which the next number is the sum of the previous two. So what does this have to do with Tool? In 2001, Tool released the album Lateralus which is heavily based on the Fibonacci sequence. The actual song "Lateralus" follows the sequence very closely.

The song begins with the lyrics (numbers denote syllable counts):

1 - "Black"
1 - "Then"
2 - "White are"
3 - "All I see"
5 - "In My Infancy"
8 - "Red and yellow then came to be"
5 - "Reaching out to me"
3 - "Let's me see"

As you can see, it follows the sequence and when it reaches 8, it proceeds to go backwards. The song does eventually break the sequence, but there is a reason behind it:

"Over Thinking, Over Analyzing,
separates my body from my mind,
withering my intuition,
missing opportunities and I must
feed my will to feel my moment
drawing way outside the lines."

Lateralus suggests that we continue to expand our minds; Not to live life in a constant fashion but rather, spiral out and try new things.

"Reaching out to embrace the random
Reaching out to embrace whatever may come"

Truth is treason in an empire of lies

"We are eternal. All this pain is an illusion."

WHEN IS THE NEW ALBUM COMING!!!???

Sorry.

My favourite band of ALL TIME. I'm a little anxious for new material!

"We are not human beings having a spiritual experience; we are spiritual beings having a human experience"—Pierre Teilhard de Chardin

I like

the videos (Vi Hart) and Tool!

glad to see so many Tool fans here compared to years ago...

and I'm a major math nerdo too...

(Pi Phi Fibonacci Marco Rodin 432Hz....)

Love these kinda vids

Whats funny to me is in some movies, the "crazy" person who rights on walls, its often these shapes. Wonder if that is true of real "crazy" people. I'm sure its not...just a random thought lol

DNA follows a Fibonacci

DNA follows a Fibonacci pattern, so it follows that all things living would also follow that pattern through a fractal construction.

What's even more interesting is non living matter that maintains a Fibonacci pattern, such as Galaxy spirals; and human emotional nature following a Fibonacci pattern:

"Elliott discovered that the ever-changing path of stock market prices reveals a structural design that in turn reflects a basic harmony found in nature.

The Elliott Wave Principle is a detailed description of how groups of people behave. It reveals that mass psychology swings from pessimism to optimism and back in a natural sequence, creating specific and measurable patterns.

Elliott Wave Principle measures investor psychology, which is the real engine behind the stock markets. When people are optimistic about the future of a given issue, they bid the price up. (and vise versa when pessimistic)

Elliott’s pattern consists of “impulsive waves” and “corrective waves.” An impulsive wave is composed of five subwaves. It moves in the same direction as the trend of the next larger size. A corrective wave is divided into three subwaves. It moves against the trend of the next larger size. (3-5 itself creates a Fibonacci sequence)

Another key to applying the Elliott Wave Principle is Fibonacci ratios. Few investors realize that Fibonacci analysis of the markets was pioneered by R.N. Elliott."

http://www.elliottwave.com/introduction/apply_elliott_wave_p...

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"Ehhh, What's ups Doc?" B.Bunny "Scwewy Wabbit!"E. Fudd
People's Awareness Coalition: Deprogramming Sequence

Now I'm really learning new things

I could guess at a lot of the physical manifestations, but I never thought of looking for psychological implications of Fibonacci ratios.

spiral pattern...

Fascinating... I discovered a new species of microscopic plankton with a spiral pattern back in the 80s, see the picture:

http://www.bugware.com/gallery.html

It's the cylindrical one. I never considered any mathematical aspects, now will have to go back and count things.

Cool post!

'Cause there's a monster on the loose

Amazing

Funny thing is, I can almost see her doodling those in her math class!

Size...

The size of those fossils may not be apparent, but it's interesting that you can put rougly 100 of them side by side and they would only be 1 millimeter long.

'Cause there's a monster on the loose

Which leads to another thing that fascinates me

Scale. It boggles my mind that we see the same patterns on a gamut from the subatomic level to the galactic level (and probably beyond). Sometimes I wonder if we are particles running around on a proton in an atom that is part of something really, really big.

I don't know why...

But it's so hot when she says all that math stuff...

Cyril's picture

LMAO

LMAO

"Cyril" pronounced "see real". I code stuff.

http://Laissez-Faire.Me/Liberty

"To study and not think is a waste. To think and not study is dangerous." -- Confucius

Cyril's picture

Really sweet videos ! Thank you for posting.

Really sweet videos ! Thank you for posting.

"Cyril" pronounced "see real". I code stuff.

http://Laissez-Faire.Me/Liberty

"To study and not think is a waste. To think and not study is dangerous." -- Confucius

BRAVO!

Thanks so much for posting! That made my day.

adam t

Cyril's picture

Fibonacci hungry ?

Fibonacci hungry ?

There you go, dear OP ... Feel free to have a bite at my groceries :

http://www.cjandia.com/2012/06/x-calc

Enjoy. ;)

P.S.
Just one of my toy experiments with "big" numbers in the browser.

Even works on my "Windoze Phone", but YMMV :)

"Cyril" pronounced "see real". I code stuff.

http://Laissez-Faire.Me/Liberty

"To study and not think is a waste. To think and not study is dangerous." -- Confucius