It's interesting that the host's mathematical training leaps into view several times in this video. E.g. he's never heard of Coxeter groups before, but when told of the definition he immediately thought of reflections (which is exactly the right intuition: reflection groups are finite Coxeter groups).
Hmm, sorry don't know off the top of my head since it's not my area of mathematics. Try looking through the bibliography of Wikipedia articles would be my suggestion.
I absolutely adore sphere packing, both as a basic curiosity and because it's a surprisingly deep and connected subject! So glad to see this video!! Thanks!! Is "circle" vs "sphere" preferred term? Ah I see how it works out. Huge thank you to Alex for an extraordinary talk!
We mostly talked about circle packings (2d case). We talk about sphere packings (3d) a bit towards the end. I think "sphere packing" suggests dimension 3 and above, so for the sake of accuracy, it made more sense to title the episode in terms of circle packings. Hopefully sphere packings in greater depth and from other perspectives will be a future topic!
It's interesting that the host's mathematical training leaps into view several times in this video. E.g. he's never heard of Coxeter groups before, but when told of the definition he immediately thought of reflections (which is exactly the right intuition: reflection groups are finite Coxeter groups).
Also, I see no mention of Ford circles, a lovely related circle packing!
Ford circles are very deep as they form a Stern-Brocot type structure. Also Epic circles, as discussed in Numberphil.
Loved the “Langlands Program” video on Quanta Magazines educational outreach
I believe Alex was the narrator and writer
Really enjoyed this episode :)
What would be some further reading suggestions on circle packings and that particular conjecture for a math enthusiast but not a mathematician?
Hmm, sorry don't know off the top of my head since it's not my area of mathematics. Try looking through the bibliography of Wikipedia articles would be my suggestion.
@@TimothyNguyen thanks! I'll also try asking chatgpt 😅
What an amazing guy
I absolutely adore sphere packing, both as a basic curiosity and because it's a surprisingly deep and connected subject! So glad to see this video!! Thanks!!
Is "circle" vs "sphere" preferred term? Ah I see how it works out.
Huge thank you to Alex for an extraordinary talk!
We mostly talked about circle packings (2d case). We talk about sphere packings (3d) a bit towards the end. I think "sphere packing" suggests dimension 3 and above, so for the sake of accuracy, it made more sense to title the episode in terms of circle packings. Hopefully sphere packings in greater depth and from other perspectives will be a future topic!
interesante :)
Love you timothy