Strange Spheres in Higher Dimensions All the Numbers - Numberphile 1 day ago   10:33

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Video features Matt Parker. More links & stuff in full description below ↓↓↓

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More from this interview: https://up-tube.com/upvideo/EYMPcZCVrZp

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Matt's book on 4D stuff:http://bit.ly/Matt_4D_US or http://bit.ly/Matt_4D_UK

Brady's new show, The Unmade Podcast: https://www.unmade.fm/

The man who loved circles: https://up-tube.com/upvideo/NmzHPY1BUuf

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Comments 1473 Comments

Numberphile
Parker CIRCLE T-Shirts and Mugs: https://teespring.com/stores/parker-circle
Edward Herrod
Ever since this video entered my youtube recommended, I've been calling oranges Parker spheres.
Dragoon GT
We need to get the Klein bottle dude on this ASAP
Megin M
Does it really "escape the box"? Would the volume of the higher dimension box not also expand with the extra dimensions, thus always able to contain the sphere?
Jeremy Redd
Spheres going beyond kissing? Sphereotica? I thought this was a family friendly channel ;)
Contessa Adella
Still didn’t help me understand the topology of a 4D sphere....but I guess in 4D the containing box would be a tesseract and each packing sphere must fit into each of the eight cubes the tesseract is made from....suitably deformed to fit in our 3D of course. The 4D sphere in question fits in the smaller central cube, but irl has the same size as the packing spheres around it. But still...how does the 4D curvature relate to the 3D sphere.
Manny Hatz
TARDIS
tingying liu
A four dimensional cube you needed nine spears to make it
tingying liu
The 4 dimensional square or cube you can find it on Wikipedia
Orion D. Hunter
try 9d
HormersdorfLP
Reminds me of valculating the volume density of alpha iron
MyOwn Meadow
The circles went from kissing, to eating each other’s jaw.
Martim Machado
id like to see how is it to live in 8< dimensions
mrAKkiller
Pointy huh? But I suppose the curvature is constant across the entire sphere. Or would you perhaps consider a 3d sphere pointy because it purtrudes beyond the circle on your 2d-slize?
Tom Williams
In 1d, the radius of the central square is √1-1
I. George
it gets to prove higher dimensions dont make sense
Xnoob Speakable
The sphere in the middle is 9 in 100D
iqbaltrojan
2:24 also bad at drawing oranges
Alex King
The game of set in the background

Lit
א Antor
The square and sphere won't getting bigga
That's cause Matt Parker is my.....
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All the Numbers - Numberphile Strange Spheres in Higher Dimensions 1 day ago   14:27

Matt Parker talks about numbers - as he often does. His book "Humble Pi" is at: http://bit.ly/Humble_Pi
More links & stuff in full description below ↓↓↓

The book on Amazon: https://amzn.to/2NKposg

Numberphile podcast is on your podcast player.
Or the website is: https://www.numberphile.com/podcast
And it's on YouTube too: http://bit.ly/Numberphile_Pod_Playlist

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A bit of extra footage from this interview: https://up-tube.com/upvideo/YfODusxj5nt

More videos with Matt: http://bit.ly/Matt_Videos

Transcendental Numbers with Simpon Pampena: https://up-tube.com/upvideo/frHH2oMgstZ

The Mile of Pi: https://up-tube.com/upvideo/0e3pRXMvYzt

Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile

We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. https://www.simonsfoundation.org/outreach/science-sandbox/

And support from Math For America - https://www.mathforamerica.org/

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Editing of this video by Pete McPartlan.

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Yes we went for the sometimes English spelling constructable... Constructible is more common and probably better!