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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. 〈 Berger | Dillon 〉‏ @InertialObservr 2 Nov 2019
      • Report Tweet
      • Report NetzDG Violation

      f(z)=z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^z^zpic.twitter.com/CrGQJ1dwhF

      36 replies 268 retweets 1,387 likes
    2. Lucas Vieira (LucasVB/1ucasvb)‏ @LucasVB 3 Nov 2019
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      Replying to @InertialObservr

      Do an animation with increasing layers!

      1 reply 0 retweets 2 likes
    3. Andrew M. Webb‏ @AndrewM_Webb 3 Nov 2019
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      Replying to @LucasVB @InertialObservr

      My attempt from 51 to 81 layers. I think the way I'm mapping arg(z) to hue is differentpic.twitter.com/y39dOW998Z

      1 reply 0 retweets 7 likes
    4. Lucas Vieira (LucasVB/1ucasvb)‏ @LucasVB 3 Nov 2019
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      Replying to @AndrewM_Webb @InertialObservr

      Can you do it continuously? Use z^(z^(t)) for starters, vary t from 0 to 1 at each step.

      1 reply 0 retweets 2 likes
    5. Andrew M. Webb‏ @AndrewM_Webb 3 Nov 2019
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      Replying to @LucasVB @InertialObservr

      Yeah, I've been trying to think of a way to interpolate the sequence continuously, because I'd like to visualise this as particles flowing around

      2 replies 0 retweets 2 likes
    6. Joshua Silva‏ @silvascientist 3 Nov 2019
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      Replying to @AndrewM_Webb @LucasVB @InertialObservr

      Tetration! It's actually an open question of how to extend iterated exponentiation from natural numbers to arbitrary real or complex values...

      1 reply 0 retweets 1 like
    7. Lucas Vieira (LucasVB/1ucasvb)‏ @LucasVB 3 Nov 2019
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      Replying to @silvascientist @AndrewM_Webb @InertialObservr

      Yeah, but I'm not suggesting that! I'm suggesting adding each new discrete power level continuously!

      1 reply 0 retweets 1 like
      〈 Berger | Dillon 〉‏ @InertialObservr 3 Nov 2019
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      Replying to @LucasVB @silvascientist @AndrewM_Webb

      Is there a guaranteed way to do that smoothly?

      10:07 AM - 3 Nov 2019
      • 1 Like
      • Joshua Silva
      2 replies 0 retweets 1 like
        1. Lucas Vieira (LucasVB/1ucasvb)‏ @LucasVB 3 Nov 2019
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          Replying to @InertialObservr @silvascientist @AndrewM_Webb

          Plenty of ways, but only for animation purposes. The easiest most natural way I can think of is mapping one level to the next by raising it to z^t for t changing from 0 to 1. So z -> z^(z^0.1) -> z^(z^0.2) -> ... -> z^(z^0.9) -> z^z.

          0 replies 0 retweets 3 likes
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        1. Joshua Silva‏ @silvascientist 3 Nov 2019
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          Replying to @InertialObservr @LucasVB @AndrewM_Webb

          Sure, there are plenty; in fact, I'm pretty sure you can do it analytically as well! The thorny research questions come from trying to find ways to do this that preserve certain properties you might hope for that parallel the properties of ^, x, +...

          1 reply 0 retweets 0 likes
        2. Joshua Silva‏ @silvascientist 3 Nov 2019
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          Replying to @silvascientist @InertialObservr and

          We're not even completely sure what those properties should be!

          0 replies 0 retweets 0 likes
          3. End of conversation

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