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These changed how I think about higher dimensions

501K views · Jun 30, 2020 · Education

Comments · 1K

  • @zachstar · 6 years ago · pinned

    Want a Klein bottle?: <a href="https://stemerch.com/collections/maths-toys/products/klein-bottle-1">https://stemerch.com/collections/maths-toys/products/klein-bottle-1</a>

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  • @CaptainSpock1701 · 6 years ago

    How many people associate a klein bottle with wild gray hair, exuberant arm movements and one very excited guy?

    1.8K

  • @trattoretrattore8228 · 6 years ago

    I&apos;ve never felt the need of a fourth dimension in my life so much before

    1K

  • @stepantalalayev6002 · 6 years ago

    Russians living in 4D be like: R Я

    898

  • @sunimod1895 · 6 years ago

    For some reason, nobody has ever explained to me a cube on 2d intersecting itself is like a Klein bottle on 3d intersecting itself. Idk why. I got the concept a while ago, but never had it explained like that.

    576

  • @vyznev · 6 years ago

    That feeling when you see a square with arrows that you drew in five minutes for a Wikipedia article back in 2006 show up on a YouTube thumbnail in 2020…

    416

  • @piguy314159 · 6 years ago

    What shape is Asteroids?<br><br>To answer this, we need to talk about parallel universes

    445

  • @randaljr.8581 · 6 years ago

    everytime the answer was torus, i really thought it was gonna be a sphere 😣

    368

  • @PapaFlammy69 · 6 years ago

    A classic game of Snecc?

    437

  • @lucaseduardooliveiracandid8117 · 6 years ago

    There is something about the thorus that took me quite some time to understand which is the difference between it and a sphere. I took a while to understand why the universe of the asteroids game couldn&apos;t be a sphere, since it is also true that in the sphere when you travel all the way to the left you come out on the right and the same is valid for up and down (and in the same orientation). The answer I found is that two perpendicular lines on the thorus only intersect once, whereas on the sphere they intersect twice. So if two spaceships would start at the same point in the universe of astroids and one travels up and the other travels to one side, let&apos;s say right, then they would meet again in the same point, the first comming from below and the second comming from the left (assuming equal lengths). However if the universe was a sphere, they would have to meet in another point, which would be the diametrically opposite to the one they started, whic is not the case. I just thought this would be something nice to point out

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  • @michaelz5633 · 6 years ago

    I remember when I was in grade 8 my math teacher spent a class talking about infinity and topology. That was the first time I felt math is interesting and I wanted to be a mathematician. 11 years later, unfortunately, pi is no longer pi to me. pi=e=3

    172

  • @garethgareth9783 · 6 years ago

    How many Topology videos can you make?<br>Zach Star: Yes.

    120

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