Tree Gaps and Orchard Problems - Numberphile

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  • Published on Jan 26, 2018

  • Get 10% off at Squarespace: https://www.squarespace.com/numberphile This feature features Ben Sparks... More links & stuff in full description below ↓↓↓ Ben Sparks Twitter: https://twitter.com/SparksMaths More of Ben on Numberphile: https://youtu.be/ETrYE4MdoLQ https://youtu.be/kbKtFN71Lfs Geobra file relevant to this video: https://www.geogebra.org/m/uPTEQnZs Infinity with James Grime: https://youtu.be/elvOZm0d4H0 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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  • Daily Drum Lesson
    Daily Drum Lesson 1 year ago

    There is a German saying: "Den Wald for lauter Bäumen nicht sehen" / "To not see the forest because of too many trees" .. This suddenly makes sense.

  • Kevin Potts
    Kevin Potts 1 year ago

    I love the "mindfuck" aspect of mathematics and I always have. It's stuff like this where reality and intuition are on complete opposite ends of the spectrum that I love the most.

  • HasekuraIsuna
    HasekuraIsuna 1 year ago

    Pi, fibonacci, golden ratio, probability, magnitudes of infinity, Riemann zeta function... it's like all these years of watching numberphile has prepared us for this one video lol

  • Tibees
    Tibees 1 year ago

    Somewhat unrelated but I was told by a guy who works in forestry that sometimes trees are planted in a fibonacci arrangement to maximise sunlight exposure. In a spiral like that seen in the centre of a sunflower

  • Cody'sLab
    Cody'sLab 9 months ago

    So if I'm understanding this correctly you would see no trees since in-order to see something that is a point (infinitely thin trunk) you would need to have them in every direction you look so every point is blocked out and you see a "solid" wall but since there are infinitely more gaps due to irrational fractions than there are blocked points you see no trees. That is wild isn't it!?

  • Seth Person
    Seth Person 1 year ago

    This infinite orchard almost solved world hunger, but unfortunately the harvesters couldn't find any trees since they were all points and had a 0% chance of being seen.

  • Sebastián Espejo Loyaga

    So many shout outs to Dr. James Grime. It's like he knows he's the best Numberphiler.

  • eggory
    eggory 1 year ago

    What does it mean that the golden ratio is "the least well approximated by a rational number"? I'd like to see a video just about that. It sounds like a very interesting property.

  • myantispambox
    myantispambox 1 year ago

    The golden ratio strikes again.

  • fprintf
    fprintf 1 year ago

    This was brilliantly presented and really fun. I would never think of this type of problem but I am super glad to have stumbled upon the fact that this kind of thinking exists!

  • Adam Weishaupt
    Adam Weishaupt 1 year ago

    If a tree falls in an infinite forest but you're looking in an irrational direction, does it make any sense?

  • Chris Star
    Chris Star 1 year ago

    If a mathematician walks into an orchard

  • Tricky
    Tricky 1 year ago

    The Fibonacci bit at the end there really blew me away.

  • The Gentle One
    The Gentle One 1 year ago (edited)

    Cast: Riemann's Zetafunction, the Golden Ratio, the Fibonacci Sequence, Pi, Primes

  • Dave Curran
    Dave Curran 1 year ago

    Here is Douglas Adams using the same maths: “It is known that there are an infinite number of worlds, simply because there is an infinite amount of space for them to be in. However, not every one of them is inhabited. Therefore, there must be a finite number of inhabited worlds. Any finite number divided by infinity is as near to nothing as makes no odds, so the average population of all the planets in the Universe can be said to be zero. From this it follows that the population of the whole Universe is also zero, and that any people you may meet from time to time are merely the products of a deranged imagination.”

  • ardenthebibliophile

    I think if you’re allergic to apple trees and find yourself in the middle of an infinite apple forest you’ve made some wrong choices in life!

  • Manuel Brand
    Manuel Brand 1 year ago

    Moral of the story:

  • Martin Heermance
    Martin Heermance 1 year ago

    Every direction you look you won't see a tree sounds like something out of the Hitchhiker's guide.

  • Tymoteusz Czech
    Tymoteusz Czech 1 year ago

    Clickbait title: "Mathematician proves that you can't see forest for the trees"

  • MishapTrap
    MishapTrap 1 year ago

    "There is unrest in the forest, there is trouble with the trees, for the maples want more sunlight, and the oaks ignore their pleas."