The weirdest fact about Polygons that I know.

I thought I knew a lot about regular polygons before I saw @BerrySmile3 twitter where he shared this wonderful fact !
I had even more fun proving it, hope you enjoy it !
Patreon: / metamaths
Source code for animations: github.com/univalency/Manim-a...
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(00:00) - Explaining the mystery
(00:54) - Rigorous definition
(01:26) - Let' s prove !
(04:13) - Complex ?
#geometry

Пікірлер: 21

  • @hvok99
    @hvok99 Жыл бұрын

    Thank you so much for making this, I rarely do this for mathtube videos but I wrote down the proof step by step and go so much joy out if seeing it all together. This was candy!!

  • @MetaMaths

    @MetaMaths

    Жыл бұрын

    Happy to hear that ! This problem is truly surprising

  • @JoelChang
    @JoelChang2 жыл бұрын

    But...it's not Korean, but actually Japanese tweet.😆

  • @muleboy3537

    @muleboy3537

    Жыл бұрын

    Also, our kind video host did not “discover” the content from the tweet, nor was he “inspired” - he /learned/ it from the original Japanese source. I dunno why he plays with words like this, it doesn’t lessen the value of his contribution to be clear that he is explaining someone else’s conclusions.

  • @ZomB1986

    @ZomB1986

    Жыл бұрын

    His name is written in hiragana, and curiously phonetically spells "Berry slime" (usually katakana is used for phonetic spelling)

  • @samueldeandrade8535

    @samueldeandrade8535

    5 ай бұрын

    ​@@muleboy3537 did the "host" say he discovered or was inspired by the content?

  • @Snowflake_tv
    @Snowflake_tv2 жыл бұрын

    0:55 Are you using translation-app from Korean to Japanese? That's Japanese. Korean letters are not those. "안녕하세요 눈꽃입니다." This is composed of Korean letters.

  • @FaranAiki

    @FaranAiki

    Жыл бұрын

    No, @BerrySlime3 is Japanese.

  • @michaelmam1490

    @michaelmam1490

    Жыл бұрын

    He probably just misspoke

  • @artsmith1347

    @artsmith1347

    Жыл бұрын

    Google detected as Korean and translated as: "Hello Snowflake."

  • @ARBB1
    @ARBB12 жыл бұрын

    Great video. A neat little fact!

  • @tradingishard2038
    @tradingishard20382 жыл бұрын

    This is Pythagoras theorem on steroids

  • @gustavocortico1681
    @gustavocortico16812 жыл бұрын

    Wait. Can you define pi using that?

  • @MetaMaths

    @MetaMaths

    2 жыл бұрын

    You will be dealing with infinite sums of sines as you go to the limit which looks hard. But try it !

  • @schweinmachtbree1013
    @schweinmachtbree1013 Жыл бұрын

    Calling roots of unity 'complex analysis' is like calling modular arithmetic 'ring/field theory'...

  • @MetaMaths

    @MetaMaths

    Жыл бұрын

    Very valuable comment

  • @princehickmon2170
    @princehickmon21702 жыл бұрын

    What is the prerequisites for this video?

  • @quantumgaming9180

    @quantumgaming9180

    Жыл бұрын

    What do you mean by that

  • @user-zm4pb5xs6m
    @user-zm4pb5xs6m2 жыл бұрын

    응 너거일 볼거다

  • @artsmith1347

    @artsmith1347

    Жыл бұрын

    Google detected as Korean and translated as: "yes you will see"

  • @rafiihsanalfathin9479
    @rafiihsanalfathin9479 Жыл бұрын

    Ur video is too fast