Fibonacci Mystery - Numberphile

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I needed this for my coding assignment.

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Thi lottry 3up nambr ghep,saudi arb

whats he playing at 0, the root note?

I always thought it started with 0

the remander is called mod it's mod ( x , 7 )

Did he mean for his shirt to match the chairs? Like is that the shirt he always wears in that lecture hall?😂

Where is the music?

There's something innately wrong about him saying 5/5=0. Like I know that's the remainder, but it feels wrong. It reminds me of another formula I saw in a devlog a bit ago, where in hyperbolic space, the area defined by a triangle is A = π - (a + b + c), where a, b, & c are each angle of the triangle. This leads to my favorite thing to confuse people: "So all the angles are 0 and the area is π."

And you have modular arithmetic

ironic really that as a musician that he chose 7 for each of the "pure" musical notes (i.e. no sharps/flats) and it resulted in a repeating sequence of 16 which fits perfectly into a standard musical rhythm of 4/4 which could fill 1 bar as 16th notes, 2 bars as 8th notes or 4 bars as quarter notes

Idk why the way James reveals pisano = fibonacci is funny to me

Rachmaninoff's sonata 2 has a descending fibonacci sequence as the melody

Would love if you had presented the proofs for these

What about the elephant in the room? No matter how many zeros you add it will never be 1

Not to subjectify his physicality, but he has the most charming dimples. ^___^ ;P What a knowledgeable and engrossing educator! I love math, but (1) despite being in advanced classes, I didn't have the best educators and (2) I didn't really apply myself... (libarts was more rewarding to me at the time...). These vids scratch the itch to better understanding, and having knowledgeable and engaging educators helps a great deal! THX!!!!

What is the length of the Pisano period for the number 1? :)

James is my favourite, he’s always so excited!!

It's not too hard to prove that the sequence will always repeat. It starts with 1, 1 and each digit has n options mod n. So there are n² possibilities for adjacent digits. This, after n² numbers, you've already encountered every possibility so it must repeat.

Was expecting "modulo" stories to appear so I could say, "look, wave-packaging" logarithmic spin-spiral number condensation .. but , not sure...

Almost a decade later and I still love coming back to these videos. I’m done with college and working full time but seeing these videos make me want to learn again

0 to 1

is like

from nothing to something

What is the equation for the number of elements in the period?

I wonder if your composer ever worked with Derek Amato's compositions given his back story?

How sunburnt are you in this video 🙂

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how is 5 divided by 5 zero

I am keen on solving the twin primes problem, and have done some research in this regard.
My objective is to get the money offered for solving this millineum problem in this instance...
Can you help me ?

Do prime numbers in the Fibonacci sequence have any interest

My channel has several playlists on Fibonacci tools used in technical analysis for those who are interested.

With over two thousand comments (whew when did numberphile become so popular) I was hoping that someone would mention Lost and the numbers found on the hatch.

Reflecting this old input with a newly released video of Bob Greenyer it might look like a pattern of physics, elements, creation, mathematics and the outcome of some interesting issue that is abled to explain some open questions but at the same time to remind us of what we already had at hand

The fibonacci sequence done in an Ulam spiral gives some really cool new patterns :)

Couldn't you just say "mod 7" and leave it at that?

10 years after release, this vid found me. As I watch educational stuff in math, physics and tech to calm me down after a panic attack or when my anxiety goes through the roof. And today you did a great job by doing so. Thank you. You matter, even in ways you might not think.

I founded that 3 makes a sequence by 7 numbers
Proof:
1
1
2
0
2
2
1
0
1
1
2
0
2
2
1

Seems like the proper proof of the existence of such a period in any modulus could easily use the pigeon hole principle combined with the remainders following the Fibonacci rule to show you must repeat, which is the same idea behind showing rational numbers must have a repeating or terminating decimal expansion.

I have discovered that Minus Fibonacci sequence, F(n)=F(n-1)-F(n-2), starting with any two numbers produces a perfect cyclic sequence with a cycle of 6.
Minus Tribonacci has a cycle of 4.
Minus Oddnacci has a cycle of (Odd+1) whereas Minus Evennacci has a cycle of 2*(Even+1).
The operative equation for the golden ratio of Minus Fibonacci is x²-x+1=0, x=(1±√3i)/2=cos 60+i sin 60, hence a cycle of 6(=360/60).
I have some more interesting findings as well.

Do u no how he came up whit it

I can show u how he taught of it

10 is 6x10 100 is 3x100 1000 is 1.5x1000 is 10000 7500?

did nobody see the pattern of 60 300 and 1500? would the next not be 7500? and the next of that 37500 and so on?

f(5) / f(0) ?? 5/0

The Fibonacci sequence starts with 0, that is like 0, 1, 1, 2, 3, 5...