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)
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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
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The 4 dimensional beings are equally confused when imagining 5d cubes
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Now I understand how my dog feels when I'm talking to it
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That "knot from hell" got me💀
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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
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There are some days when I feel pretty smart. This is not one of them.
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The joys of watching a forth dimensional object represented in a three dimensional form on a two dimensional medium.
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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.
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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.
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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?
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What if flat-earthers aren’t actually crazy but they are 2d creatures that can’t imagine 3 dimensions?
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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.
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Just took elementary topology this semester and this video would’ve been great for understanding euler characteristics and tilings
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In higher dimensions you will find sanitizers that remove 100% bacteria.
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This is the highest I’ve ever been despite never doing any drugs
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As someone learning French, I quite enjoyed the seemingly unintentional “loup in disguise” pun 😂
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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.
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I'm going for a job interview tomorrow in a 42-dimensional supermarket, so this video will be very helpful.
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“Yes, this example is pretty simplistic, but-“ Bro I have no idea what you’re saying
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6:23 the knot from hell 💀