Permutations are the most general kind of symmetry. In her talk, Lara Pudwell introduces patterns that permutations can either contain or not contain, and counts how often they appear in some well-known families of permutations. If you do this, then some familiar number series will turn up. When she shows off at the end with some atomic numbers I thought that you, @johncarlosbaez, might like to know that particular result, and I suppose you might also enjoy the rest of this nice lecture!
Lara Pudwell: Patterns in Permutations - MAA MathFest 2023
https://www.youtube.com/watch?v=rxJQ3ZVLRVE
It's easy going and only very little mathematical prerequsites are required.
[#]LaundryLectures
=> More informations about this toot | View the thread
In that light, here's my suggestion: After honoring Roger Penrose last year, who, don't get me wrong, certainly deserved any prestigious award, he's still much more of a mathematician, so something like the Fields Medal might have been much more fitting, even back when he was young enough to fit their profile. But nevermind, Ed Witten got that one, one of the most intimidating theoretical pysicists you might imagine, and not a mathematician.
So this is the second year in a row where the Nobel for physics didn't go to a physicist. Maybe the reason is simply that physicists have stopped making progress. There is just nothing to award for, so of course the commitee reached out to adjacent professions. It's either that or not award the prize at all!
2/2
[#]NobelPrize #NobelPhysics #Nobel2024
=> More informations about this toot | View the thread
The controversy around this year's physics Nobel seems to be still on-going. See, for example, the joint release of a reaction video on Computerphile and Sixty Symbols:
https://www.youtube.com/watch?v=itywoDU3sL8q
(by @computerphile, and @sixtysymbols)
Wherein both sides express their surprise between the lines. But you have to take into account that the Nobel commitee always and above all has been celebrating popularizers, they never intended to emphasize the first person to come up with a most influential idea, nor the one who did all the work..
That's likely the reason why so few women got awarded this prestigious prize, as it is even more of a privilege to be in a position to popularize science, hard working female scientists rarely attain. See here for a take by Angela Collier towards that end:
https://www.youtube.com/watch?v=zS7sJJB7BUI
(by @acollierastro)
Or my friend John Baez' take, he also suggested to maybe tone down the scandalizing.
https://mathstodon.xyz/@johncarlosbaez/113272834785880929
(by @johncarlosbaez)
Which is certainly going to work. On social media. Telling people not to get agitated. I'm sure it came as a total surprise when people expressed their feelings even more vigorously in response.
1/2
=> More informations about this toot | View the thread
It uses parallel projection, and the camera plane sits right in the middle of the spheroid. That means that the white light sphere should not be visible when it's in the upper half of the screen. I added a simple hack to show it anyways.
=> More informations about this toot | View the thread
Another shadertoy: "Sphere in Mirrored Spheroid"
https://www.shadertoy.com/view/MXfyDM
This one featured 2015 on @johncarlosbaez' AMS blog "Visual Insight"
https://blogs.ams.org/visualinsight/2015/04/15/sphere-in-mirrored-spheroid/
Back then it took tens of minutes to get a nice picture. I spent hours staring at this thing, so it was certainly worth a remake. This new raytracer's quality is a bit lower than in John's blogpost, mostly because I haven't implemented anti-aliasing (supersampling). But boy, it is fast!
Look at the bottom of the source for some more ideas to animate.
=> More informations about this toot | View the thread
=> This profile with reblog | Go to RefurioAnachro@mathstodon.xyz account This content has been proxied by September (3851b).Proxy Information
text/gemini