Sunflowers and Fibonacci - Numberphile

We're planting sunflowers in the interests of numbery research and the memory of Alan Turing.

Get involved at http://www.manchestersciencefestival....

This video features Dr James Grime... More about him at http://singingbanana.com/

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Videos by Brady Haran

• Category

  Science & Technology

[Javier Pérez]

Brady! Were are those other videos James says you had filmed about Fibonacci numbers (0:14)? I can't find them anywhere!

[rageagainstthebath]

Wait, everybody, I thought the proper spelling is "golden ratio". What am I missing?

[Primus2X]

What's the relationship between pi and the golden ratio?

[Chun Fung LEUNG]

It is because Brady hasn't edited yet.

[VEROTIKAA]

I liked it n I think he is a handsome devil eh wouldn't mind to have him tend my garden :)

[danpaladin12]

yeah, but this was posted a year ago

[trihangamer]

he also said they arent edited and uploaded yet mate

[RosebudliasCabochons]

hi, where can we find the video for the grown sunflowers? Thanks.

[otakucode]

Pardon Alan Turing, Britain!

[Maledictator]

What a clever way to make James be your gardener, Brady

[anticorncob6]

No, only the last digit works in this case.

The pattern for the last digit goes:

0, 1, 1, 2, 3, 5, 8, 3, 1, 4, 5, 9, 4, 3, 7, 0, 7, 7, 4, ...

You add the last two numbers to get the next one, and if the answer is larger than 9, you only use the last digit, for instance after the 5 and 8 it's 3, though 5 + 8 = 13. I drew out this pattern and found it repeats after every 60 numbers. Thus to know the last digit of the n fibonacci number, you only need to know the remainder when divided by 60.