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InertialObservr's profile
〈 Berger | Dillon 〉
〈 Berger | Dillon 〉
〈 Berger | Dillon 〉
@InertialObservr

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〈 Berger | Dillon 〉

@InertialObservr

PhD student of Theoretical Particle Physics @UCIrvine l @NSF Fellow l Physics & Math Animations l Patreon: https://www.patreon.com/inertialobserver …

DC → CA
youtube.com/c/InertialObse…
Joined August 2015

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    1. Greg Egan‏ @gregeganSF 23 Jul 2019
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      • Report NetzDG Violation

      Take any tetrahedron, and for each face compute its perimeter P, and the solid angle Ω it subtends as seen from the opposite vertex. Daniil Rudenko and @robinhouston have found a linear relationship between 1/P and cot(Ω/2). https://mathoverflow.net/questions/336464/a-curious-relation-between-angles-and-lengths-of-edges-of-a-tetrahedron/336777 …pic.twitter.com/6a8q1uzCrX

      1 reply 8 retweets 47 likes
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    2. Greg Egan‏ @gregeganSF 23 Jul 2019
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      The slope of each line is: 12 times the volume of the tetrahedron, divided by the product of its four face perimeters! The intercept is a bit more complicated. I give a formula for it at the linked Math Overflow page, but maybe it can be expressed in simpler geometric terms.

      4 replies 0 retweets 9 likes
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    3. 〈 Berger | Dillon 〉‏ @InertialObservr 23 Jul 2019
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      Replying to @gregeganSF @robinhouston

      That’s amazing.. it makes me wonder if it’s a 3D generalization of the famous V-E+F=2 relation ..

      2 replies 0 retweets 0 likes
    4. Nikita Lisitsa‏ @lisyarus 23 Jul 2019
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      Replying to @InertialObservr @gregeganSF @robinhouston

      There is: https://en.wikipedia.org/wiki/Euler_characteristic#Topological_definition …

      2 replies 0 retweets 1 like
    5. Nikita Lisitsa‏ @lisyarus 23 Jul 2019
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      Replying to @lisyarus @InertialObservr and

      TL;DR: the alternating sum of numbers of k-dim 'cells' (points - edges + faces - solid 3D cells + ...) is a topological invariant χ.

      2 replies 0 retweets 1 like
      〈 Berger | Dillon 〉‏ @InertialObservr 23 Jul 2019
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      Replying to @lisyarus @gregeganSF @robinhouston

      Nikita, I’m glad that I’m nocturnal and therefore our time zones have a nontrivial overlap

      12:58 AM - 23 Jul 2019
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      • Nikita Lisitsa
      2 replies 0 retweets 1 like
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        1. 〈 Berger | Dillon 〉‏ @InertialObservr 23 Jul 2019
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          Replying to @InertialObservr @lisyarus and

          also my girlfriend is Russian and I had her translate one of your tweets yesterday.. idk why I’m mentioning that but I am

          1 reply 0 retweets 1 like
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        1. Nikita Lisitsa‏ @lisyarus 23 Jul 2019
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          Replying to @InertialObservr @gregeganSF @robinhouston

          I am happy about it as well!

          0 replies 0 retweets 1 like
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