The Mysterious Spiral of The Infinity Tetration

This is a re-upload because my previous video uses a piece of music that is copyrighted.

[Geigenzaehler]

1:41
x=4 is another solution of that equation. But you can rule that out because the tetration is always less or equal 2

[MathematicsOne]

Phenomenal video! I look forward to seeing more 😊

[pauselab]

That’s like the 3b1b video on prime distribution

[bigfatpandalaktana]

Nothing like some beautiful convergence.

[moonwatcher]

Awesome video ❤ Interesting stuff, well explained, calm and elegant, including codes, references and acknowledgments. New subscriber, thank you very much!

[SoimulX]

I got inspired by this video and made a shader to see what happends when you repeatedly raise the pozition Z to a parameter C and the output is pretty interesting, makes for a good fractal.

[MrMusicM]

Love stuff like this. Thank you for sharing :)

[mxt-kaporal]

Wow, that's amazing.What a quality of production.Very interesting question Even if I'm not sure to have understood all. Keep it up, you deserve more sub 👍

[DavyCDiamondback]

Like if a fan spins so fast it looks like it's going slowly backwards

[dunnydunn]

Math can really be beautiful, when you're not just solving a lot of random questions on a hw sheet.

[engineerwrecker]

Welcome to the Tai Chi world. World that’s is like Jr high school. Filled with drama, frauds, and ego. True Tai Chi skill is hard to get or even understand. You can practice the movements for 20 years and still not be able to find the other persons “center”. It’s hard because you can be instructed on how to do it since it is a feel thing.

[Alexander-ohry]

I would love to see the exact formula of 0.44... + 0.36...i in terms of square roots, pi and e, to see where it actually comes from

[SerGio-xsss]

This pattern is really very interesting. Have you thought about doing the same exercise in 3D with i and j?

[hgh]

3:00 So we still have to figure out why z(3n), z(3n+1), z(3n+2) forms each branch?

[Spioy]

Надеюсь у этого канала когда-нибудь будет больше миллиона подписчиков

[azurebrown]

The prime numbers have a similar spiral!

[someonespecial]

I love the fact that tetration is slowly becoming more useful

[michaelnash]

How did you solve x=sqrt(2)^x ? Did you just use a good guess or is there a simple exact method for this type of thing?

[korigamik]

Bro, this is a great video. Can you share the source code fkr the animations that you created for this video?

[MrFreakHeavy]

What would an i-tower of length i look like? i tetrated to i? What does it equal to?
I am no mathematician. Just asking out of curiosity. Maybe too much explain in a comment.
Thanks for the video!