The things you'll find in higher dimensions

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Published 2019-06-07
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This video covers a range of what shapes and properties you'd encounter in higher dimensions.

Why there are only 5 platonic solids proof:    • So why are these the only (regular) d...  

Numberphile Video on Klein Bottles:    • Klein Bottles - Numberphile  

Sphere Packing: www.quantamagazine.org/sphere-packing-solved-in-hi…

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All Comments (21)
  • @zachstar
    My brain hurts... Want a Klein Bottle?: stemerch.com/collections/maths-toys/products/klein… Edit: Some people have pointed out that the dimension in which the sphere surpasses the cubes volume is much higher than 262 and after finding a calculator that could handle these numbers I'm getting the same thing (around dimension 1205 is when it finally happens). And again here is the link for the proof of the 5 platonic solids video: https://youtu.be/04eVLnPrpEY
  • @yeeeessssssssss
    The 4 dimensional beings are equally confused when imagining 5d cubes
  • @HSC82388
    Now I understand how my dog feels when I'm talking to it
  • @oinkoink3669
    Let us all acknowledge Maryna Viazovska. She is the ukrainian mathematicia mentioned at 16:33, who found out about the packing in 8 and 24 dimensions. Last year she got a fields medal
  • @TasX
    There are some days when I feel pretty smart. This is not one of them.
  • @nixmaritimus836
    The joys of watching a forth dimensional object represented in a three dimensional form on a two dimensional medium.
  • @SteedRuckus
    I've always thought that things people find "supernatural" were just random higher-dimension objects moving through 3D space. It would explain the "appearance" and "disappearance" aspect.
  • @lorderik237
    60 seconds in, and I'm already far more interested in this than anything taught to me in the 4 years I spent in high school.
  • so if 1D cant see 2D as being 2D, and 2D cant see 3D as being 3D and so on - then could we be surrounded by objects of infinite dimension without realising?
  • @davidtorres718
    What if flat-earthers aren’t actually crazy but they are 2d creatures that can’t imagine 3 dimensions?
  • @AC-km9ww
    This whole time I always thought "dimension" was referring to different realities. So when they say "dimensional beings", it has a whole new meaning to me now. And seems more plausible as well.
  • @kdurso7689
    Just took elementary topology this semester and this video would’ve been great for understanding euler characteristics and tilings
  • @user-le7ny8bq1l
    In higher dimensions you will find sanitizers that remove 100% bacteria.
  • @triskalii9427
    This is the highest I’ve ever been despite never doing any drugs
  • @geekymonkey
    As someone learning French, I quite enjoyed the seemingly unintentional “loup in disguise” pun 😂
  • @neubtuber
    Data sphere packing thing was really interesting, had no idea it was used that way. It's always cool to see how people come up with smart ways to organize information.
  • I'm going for a job interview tomorrow in a 42-dimensional supermarket, so this video will be very helpful.