Hopf Fibrations

Exploring the structure of 4-dimensional objects through Hopf bundles.: philogb.github.io/page/hopf/

[@VinOnline]

This is the best video I have found on what a hopf fibration is

[@Zxv975]

I've heard (and been intimidated by) the phrase "Hopf fibration" before. I'm so glad I encountered this video and the associated Github page before I did any serious diving into the subject, because this was a great introduction.

[@philogb]

Thank you!!

[@philogb]

@@Zxv975 so glad to hear it was useful!

[@Daniel-yc2ur]

omg

[@Bestofchatgpt]

That was beautiful. I was wondering why 20% of traffic was coming from this video

[@mr.praiseworthy6306]

ah yes the second dimension in 4d being portrayed in 2d for 3d beings such as ourselves

[@gbagba81]

Ahh I see you're a man of culture as well

[@agentoranges]

Amazing. It finally clicked for me what the hopf fibration and spinors are with this.

[@ryang518]

Is it similar to the idea of "vibrations" in string theory which create different particles?

[@Lincoln_Bio]

@@ryang518 No, it's almost the opposite in a way, it maps 4 dimensional rotations in 3 dimensional space

[@nicholasandrzejkiewicz]

@@Lincoln_Bio reminds me of "bundles are mappings into the classifying space BG" and "group actions are mappings from the classifying space BG"

[@SB-yl1ng]

So incredible Philogb.

[@JackDaniels-ex9mf]

Ooohhh ok, that really cleared things up for me.

[@illygah]

Can you make the E8 Lattice into a Hopf Fibration(s)?

[@TheMemesofDestruction]

Love it! ^.^

[@akashsahi6874]

Well you earned a subscriber
It’s beautiful

[@davincerica7232]

I'm clueless 😐 I love it 😀

[@pingpenne9487]

'how to turn a sphere inside out'

[@fluxfaze]

Invokes visions of fusion reactor plasma field models.

[@Getfuckeddude]

This makes me feel tense…

[@justanedit001]

Biblically accurate Hopf

[@brendawilliams8062]

The musuc. The magic. The variety of expressions is not to only one person’s intellect

[@stardestroyer-ko9zb]

it looks like a fusion reactor

[@ganjanaut]

cool

[@jhonsillosanchez8494]

This reminds me of me when I play with a slinky

[@brandonb6164]

*adds to list of things I fully understand and comprehend...*

[@xicad1533]

she hopf on my fibration

[@ramesh_rm]

😎🤯🧠🙉

[@sunareii]

this video explains how I broke my slinky

[@chri-k]

This is a 2D projection of a 3D projection of a 2D object embedded in 4D space

[@user-ec5fs3sz5s]

не знаю что за тарвку вы там курили но я тоже хочу такую же

[@BRunoAWAY]

What is it?

[@Leo-mu8kn]

I assume it's some sort of object thing for math theory stuff, topology, manifolds, that kinda shiz bro idk

[@mkvenu7474]

If we extend our imagination, looks like an orbit.. al😱.

[@bigword3744]

That's some DMT shit

[@ninjacat230]

That's a funny word

[@Odd_Combo]

Never heard of this, but, the visual makes with think of a toroidal field, which is what I believe the Earth to be similar to.

[@angrychompski]

beans

[@wtfsamusidk7574]

Window's 98

[@sagrgywejhxcvx]

lookf nifse

[@killer_boss01]

Lsd