Same perimeter, different areas: Which is the largest? The Isoperimetric Problem

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  • čas pƙidĂĄn 21. 03. 2024
  • 🌟 Welcome to MathVerse Animated! 🌟
    Dive deep into the heart of mathematics with our inaugural video: "The Isoperimetric Problem."
    🔍 Join us on a captivating exploration of one of the most intriguing puzzles in geometry and calculus. From the ancient mathematicians of Greece to the modern minds of today, this video unveils the secrets behind shapes and their perimeters.
    💡 Discover the origins of the Isoperimetric Problem and its significance in mathematical history. Unravel the mysteries surrounding optimal shapes and their boundaries, as we delve into the quest for maximizing area while minimizing perimeter.
    đŸŽ„ Through engaging visuals and clear explanations, we'll guide you through the various approaches and solutions proposed by mathematicians over the centuries. Witness the beauty and elegance of mathematical reasoning as we unravel this timeless enigma.
    🚀 Whether you're a seasoned mathematician, a curious learner, or simply fascinated by the wonders of the universe, this video promises to ignite your imagination and expand your understanding of the world around us.

Komentáƙe • 34

  • @benhur2806
    @benhur2806 Pƙed měsĂ­cem +17

    0:17 - Simple! Wrap the fence around yourself as tightly as possible, and shout "I define my current location to be outside of the enclosed area!"

  • @ShivacuuM
    @ShivacuuM Pƙed 10 dny +3

    Finally a video with the perfect speed and rigor level
    So hyped to watch more of it

  • @jaafars.mahdawi6911
    @jaafars.mahdawi6911 Pƙed měsĂ­cem +9

    This is so RICH of a video! Chapeau bas!

  • @PictooMath
    @PictooMath Pƙed 18 dny +3

    Your words were clear and your proofs were amazing. I really enjoy to watch this!

  • @ydjemmada
    @ydjemmada Pƙed měsĂ­cem +10

    Excellent work! It's fantastic to see Algerian content utilizing manim on CZcams.
    Just a suggestion: you may want to consider improving the sound recording quality.

  • @newwaveinfantry8362
    @newwaveinfantry8362 Pƙed 19 dny +2

    8:30 - I don't think you need this. Gamma is continuous and [a,b] is compact. Thus gamma([a,b]) is compact in R^2. Thus it is bounded, so it is rectifiable.

  • @taylorsmiles4143
    @taylorsmiles4143 Pƙed 23 dny +3

    Great video. Looking forward to more.

  • @konstantin7596
    @konstantin7596 Pƙed 10 dny +3

    So nice!

  • @newwaveinfantry8362
    @newwaveinfantry8362 Pƙed 19 dny +2

    Underrated video.

  • @leobro2666
    @leobro2666 Pƙed měsĂ­cem +4

    Simply astonishing !

  • @rezkichemlal4998
    @rezkichemlal4998 Pƙed měsĂ­cem +7

    Keep up the good work

  • @aminezemirni
    @aminezemirni Pƙed měsĂ­cem +8

    Good job, team ❀❀❀❀

  • @lexkoal8657
    @lexkoal8657 Pƙed 12 dny +2

    Nice video. Visuals are good, but there are some issues with audio. Sometimes it's good, sometimes it's bad, overall, inconsistent

  • @AndrewBalm
    @AndrewBalm Pƙed 24 dny +3

    Very nice content!

  • @rujon288
    @rujon288 Pƙed měsĂ­cem +5

    very good video

  • @DanDart
    @DanDart Pƙed 5 dny

    Ah yes, Mr. Fence and Mr. Field, thanks Kjartan Poskitt!

  • @SarahAliradi
    @SarahAliradi Pƙed měsĂ­cem +8

    Break a leg guys đŸ©”đŸ˜

  • @John-pp2jr
    @John-pp2jr Pƙed 29 dny +2

    Circle.

  • @ucngominh3354
    @ucngominh3354 Pƙed 24 dny +2

    hi

  • @pandavroomvroom
    @pandavroomvroom Pƙed 29 dny +2

    why is the "proof" of arclength not a proof

    • @MathVerseAnimated
      @MathVerseAnimated  Pƙed 29 dny +3

      Well, "The sum becomes an integral and Δsomething becomes d something" is not really a mathematical sentence. If you want to make it into a proof, you have to use something like Riemann sums or similar to show that the sum converges to the integral.

  • @notu483
    @notu483 Pƙed měsĂ­cem +4

    Try not to spit in the mic

    • @MathVerseAnimated
      @MathVerseAnimated  Pƙed měsĂ­cem +2

      Thank you, we will be more mindful new time!

    • @benhur2806
      @benhur2806 Pƙed měsĂ­cem +3

      ​@@MathVerseAnimatedYou might want to install a pop filter...

    • @lunam7249
      @lunam7249 Pƙed 29 dny +1

      mics should be at least 2 feet from your mouth better 3 feet!!

    • @user-oc4gu9kb3p
      @user-oc4gu9kb3p Pƙed 16 dny +3

      Try to be more polite next time... you are watching for free, remember.

    • @lunam7249
      @lunam7249 Pƙed 15 dny +1

      @@user-oc4gu9kb3p he was spitting in the mic...its not an AMSR pervo channel...