Fibonacci Mystery - Numberphile

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Dr James Grime on the Pisano Period - a seemingly strange property of the Fibonacci Sequence.

NUMBERPHILE

Videos by Brady Haran

[TairyHesticles]

As someone that has always struggled greatly with mathematics, I find myself entranced with these videos. I never thought I'd see the day when math became interesting. Great work, guys.

[numberphile]

didn't realise we had been controversial!!!

[micheall]

The joy this man gets from Math is just infectious.

[carterpryor]

Funny to think this sequence started as a medieval joke about rabbit reproduction.

[ogracer]

i wish there were enthusiastic math teachers when i was young. all we seemed to have was grumpy, unkept men who smelt like tobacco.

[joeschmoe]

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

[GoggyboiYT]

Tool also wrote a song that incorporates the fibonacci sequence in both the vocals and the rythm. The song is called Lateralus.

[fmshazam]

Theres a great song by Tool using the fibonacci sequence to arrange the vowels called Lateralus

[CraigMansfield]

I like that he knows about the history of mathematicians.

[HerrBaton]

One of cool things about Pisano Periods is there are types of them. F.ex  n=5, 6, 7, 9, 14  can be 'cut' in two halves, and the respective digits add up to the divider. There are amazing orders in this sequence yet to be discovered I'm sure.

[ryeschultz]

As a non-mathematician I have to say this channel is teaching me a lot. For working on a spreadsheet I learned Modulus math to solve a problem. I am stoked that I connected that math to this before they showed how the remainders switched back after the divisor when adding them like fib. You guys are making a difference out here. I am certainly a bit stronger math wise than before.

[rillloudmother]

idk if anyone has said this, but the reason the musician divided by 7 is because that's how many notes are in a key or tonality in western music.

[Meier-dxwq]

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.

[tevadevere]

wow I just notice how sun burned he is

[helloitsme]

And if you divide by infinity, and the remainder pattern will be the fibonnaci sequence

[ewan.cartwright]

This and many other Videos are proving what's wrong with School! Education can be fun despite what the teachers say!

[AmberAmber]

+Numberphile -
I love your videos so much <3
I have bit of dyscalculia (just transposing, & a problem with sensing the passing of/ telling time).
Yet it NEVER exerts itself during your videos. I'm surmising it's the pace at which your proceed, the differently coloured pens, and the pleasing timbre of your voices which also match precisely what you're demonstrating.
Thank you for providing me with a way to love Numbers and Maths!!

[JesperoTV]

The comments:
20% "I never thought I would like math, but then I found this channel"
2% "Wow, James is so sunburnt!"
78% "THERE IS ALSO A SONG BY TOOL THAT USES THE FIBONACCI SEQUENCE HAVE U HEARD ABOUT IT?"

[tunarules]

It's also interesting to note that when dividing by:

10; the period is 60, or 6 times the divisible (10)

100; the period is 300, or 3 times the divisible (100)

1000; the period is 1500, or 1.5 times the divisible (1000)

The period length halves every time we jump up the base ten system.

I assume when dividing by 10 000 the period length will be 7500, or 0.75 of the divisible (10 000)

Just an interesting pattern I just noticed right now.


Also if numberphile ever read this I love you guys, I'm in school for philosophy but I find your videos so very interesting :)

[Ulkomaalainen]

I don't know whether it has been requested yet, but I'd really love to see a video on the connection between the Fibonacci sequence and the fraction 1/89.