Perfect Shapes in Higher Dimensions - Numberphile
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Carlo Sequin talks through platonic solids and regular polytopes in higher dimensions. Extra footage (Hypernom): https://youtu.be/unC0Y3kv0Yk More videos with with Carlo: http://bit.ly/carlo_videos Edit and animation by Pete McPartlan Pete used Stella4D --- http://www.software3d.com Epic Circles: https://youtu.be/sG_6nlMZ8f4 NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile Videos by Brady Haran Support us on Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ A run-down of Brady's channels: http://www.bradyharan.com Sign up for (occasional) emails: http://eepurl.com/YdjL9
Comments
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There's a game called Meigakure that using 4D object in 3D perspective
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The first minute and a half taught me why D&D uses all the weird dice, lol
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I'm just loooost
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I made it to minute 19 until I just couldn't follow it anymore
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People spend years to understand this thats why hes so old
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i mean spheres though for start
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dimensions should have a eccentricity equilibrium.
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sthree
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5:18. But I didn't ask anything...............................
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His voice is perfect for telemarketing I expected at the end of every sentence to end with "only for $19.99".
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I've looked at hypercube rotations in virtual reality (oculus rift dev kit 1), and that really helped me to get a grasp on 4D-objects. I think that's the only solid approach there is to really get a grasp on this; since that's the best we can do. When playing a game, you're always looking at 2D-shadows from 3D-objects and that way it's still possible for your brain to translate it back to an inner representation of the 3D-model. So trying to view 4D-objects on a 2D-screen or even a single frame of a 4D-object in 3D-space (such as the 3D-print) just lacks an entire dimension. For everyone having access to a virtual reality device
even if just onceI suggest you try it! -
Yes, ok, I agree, exactly
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Aren't we all just 3 dimensional shades of a bigger universe?
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Fantastic video! Absorbing this content is a true, natural high for the brain. Most excellent!
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Watch this while smoking weed
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How would other figures look in additional dimensions?
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I'm really confused as to how the utah tea cup is considered a platonic solid, anyone get where this comes from?
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Just as the cube and octahedron have reciprocal corners and faces ie 6 faces and 8 corners (cube) and 8 faces and 6 corners (octahedron) so do dodecahedron (12 faces,20 corners) and icosohedron (20 faces,12 corners) ,and I need to do more on the dihedral angle perspective, I still feel there may be more to discover about them at the higher dimensions.
Grateful for your enlightening discourse.
I was ok with the platonic solids and use exactly this method to explain to orhers, thanks again. -
Just as the cube and octahedron have reciprocal corners and faces ie 6 faces and 8 corners (cube) and 8 faces and 6 corners (octahedron) so do dodecahedron (12 faces,20 corners) and icosohedron (20 faces,12 corners) ,and I need to do more on the dihedral angle perspective, I still feel there may be more to discover about them at the higher dimensions.
Grateful for your enlightening discourse.
I was ok with the platonic solids and use exactly this method to explain to orhers, thanks again. -
Love the contents in this video.
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