The Fibonacci Sequence: Nature's Code

Hank introduces us to the most beautiful numbers in nature - the Fibonacci sequence.

References:

[BinaryBard]

The Fibonacci sequence is actually the calmest thing I can think of to calculate in stressful situations. It's easy, it's simple, and it's everywhere--and as the numbers get higher, it's JUUUUST difficult enough to make one forget about all the crazy junk going on around one. Works for me.

[aeroscience]

"Math wasn't made up to harass English majors"
-hank green

[abdulrahmanalsaleh]

You explained the Fibonnacci sequence in a much more interesting and engaging point of view than my classes ever will

[Psnym]

The Fibonacci Sequence is so important and Hank is such an awesome presenter and this was just not his best day. I would love, LOVE it if this were re-done. For a random video it would not be worth it but this is something really accessible that unlocks SO MUCH else about nature

[PINKiller]

There was this one time when I was trying to write efficient code for dynamic shadows for a game.
I worked it all out in my head and came to the conclusion that there was a very specific numeric sequence that I needed to hardcode to make my technique work properly.

Turns out it was the fibonacci sequence. Oh Universe, how I love thee.

[salvodippolito]

Hank looks so hammered/ bored in this video:D

[laurensit]

Fibonacci's Sequence is all around us in nature. The sequence of numbers can be seen in plants, fruits, and animals. Also the golden ratio and golden rectangle all revert back to the Fibonacci Sequence of numbers. Dividing a number by the one before will give you the same ratio. This is known as the golden ratio (Phi). The golden rectangle can be divided into a serious of squares that have dimensions of the Fibonacci Sequence.

[bllackbllade]

I learned more math from this and the arabic numerals videos you did then all the info my teachers tried to ram into my head without explaining it properly.Great job from the entire team working on this.

I kind of suck at exact sciences but I learned a lot from all your crash course series and I will keep studying until i can make a living of either anatomy or math.Hope you do a crash course series on math after you are done with anatomy and big history.

[meatychunkz]

I love the way he is usually so enthusiastic when talking about science but when it comes to maths...

[switzerlandful]

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144... (...233.377.610...)
- I was noticing a while back that 144 is the 12th # in the sequence...
- 12 is also its root
- &if you take144's mirror-441, it's root is 21, the mirror of 12 who's square is 144
- same thing with 13 (13x13=169 31x31=961)
( I haven't bothered to check how many more numbers might do that but I notice that not all do, so that' is kind of interesting but I don't know if its profound or significant) or if I should see it as pointing toward something else.

Also, this could be meaningless or just coincidence... but I was also recalling how I read that the Mayan's use 144, 000 (144, 000 days in a Baktun) and also 144, 000 is used in the Christian Bible too. Maybe someone has some thoughts on this too.

Also, the divine number is neat in the way in which if you square 1.618 it will be roughly the same as if you added 1.0 to it. Kind of weird.

[bhaskartripathi]

0:33 - "The sequence was first described by Indian Mathematicians and Mr Fibonacci introduced it to Europe".
Fibonacci is just one small concept of Vedic Mathematics. But you will find all such re-packaged stuff named after either European, American or Greek mathematicians.

[susanreed]

That was the best explanation of the the fibonacci number I've seen up to date!

[ralitsakost.]

probably first and probably last time commenting on Youtube :) :
After years of watching CrashCourse i decided to watch this math video and i see this guy and think "lol is this john green? looks like him but i feel its not" so i check out the comments to find out the name of this guy cause i've seen him in CrashCourse but i just blanked and couldn't come to terms with it. found out its hank green. searched him. found out his brother is john green. my world is complete. Life makes sense. (no wonder he looks the same but different in crash course videos.)

what i learned the most from this video : hank and john are brothers and more than 1 green exists and hank lives in montana and the Fibonacci sequence was made 1300 years ago in India.

I hope that one day you too can solve life and feel wholeheartedly complete with a simple math video - 3 min 19 sec of your life.

[GreebleClown]

Uh, Hank? You're not as energetic as usual, you doing okay?

[Isuckatvideogames]

"Over thinking, over analyzing separates the body from the mind"
-Maynard James Keenan

[PrestonSmithsMusic]

I love your show, dude. Very well done. As an artist, I use this sequence in every piece of art I make. I learned very quickly that incorrect use the sequence always results in a botched piece. You should consider tying this episode into Mandelbrot's set, which are a direct correlation to this sequence in surprising ways.

[bananagomm]

aww, no energy-hank, thanks for making me fall in love with fibonacci almost seven years later!

[ChrisHelms]

Fibonacci is my favorite number sequence. I remember learning about it first on PBS's Square One TV during the Mathnet portion of the show. They made it fun and interesting, and I was a Fibonacci Fan for life!

[superhappyjen]

Incidentally I've always found English (and other languages) to be a lot like math. A structured sentence is like an equation and each are governed by rules that must be followed for clarity. Art is very mathematical too, with variations on the golden rectangle, and triangular compositions popping up everywhere. English, Math, and Art were my fave subjects in high school.

[riblaalbir]

In my opinion we didn't create math we discovered it