2020-05-12

[public] 459K views, 18.4K likes, 147 dislikes audio only

3Blue1Brown

A fun puzzle stemming from repeated exponentiation.

Full playlist: https://www.youtube.com/playlist?list=PLZHQObOWTQDP5CVelJJ1bNDouqrAhVPev

Home page: https://www.3blue1brown.com

Brought to you by you: https://3b1b.co/ldm-thanks

Notes by Ngân Vũ:

https://twitter.com/ThuyNganVu/status/1261014161464516608?s=20

Play along on Desmos:

https://www.desmos.com/calculator/nul32eaaa9

Related videos.

Calculus series:

https://www.youtube.com/playlist?list=PLZHQObOWTQDMsr9K-rj53DwVRMYO3t5Yr

In particular look at:

/youtube/video/CfW845LNObM

Numberphile on Grahm's constant:

/youtube/video/XTeJ64KD5cg

Thanks to these viewers for their contributions to translations

Hebrew: Omer Tuchfeld

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Video timeline (thanks to user "noonesperfect")

0:36 Question 1

1:13 Answer 1

1:29 Introduction to tetration

3:37 How exponentiation works in tetration

6:10 Python program for power tower iterations

8:40 Question 2

9:32 Python Program regarding question 2

10:37 Answer 2 and explanation

13:18 Power tower for infinite size converges or not? (Thumbnail question)

15:21 Question 3

16:28 Footage of Grant's setup arrangement problem due to construction-work back at home.

16:49 Answer 3 and explanation

17:40 Checking logic behind 2 different problems of power towers whose answer converges to the same value (Is it even possible?)

19:42 Checking same logic using Desmos graph tool i.e. Cobweb Graph (Desmos graph link in description)

28:12 Question 4

28:51 Questions from audience tweets

29:15 Knuth's Up Arrow Notation and Graham's Number (Check Numberphile video in description)

32:32 Answer 4 and explanation

37:29 Homework/Challenge Puzzle

39:20 Thumbnail question power tower logic

40:55 Audience questions from twitter

41:45 Power tower for complex numbers/Fractal set

45:19 Brainteaser

48:06 More questions from tweets

53:17 Notes for lock-down series in Grant's Tweeter

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The live question setup with stats on-screen is powered by Itempool.

https://itempool.com/

Curious about other animations?

https://www.3blue1brown.com/faq#manim

Music by Vincent Rubinetti.

Download the music on Bandcamp:

https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown

Stream the music on Spotify:

https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u

If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people.

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3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe

Various social media stuffs:

Website: https://www.3blue1brown.com

Twitter: https://twitter.com/3blue1brown

Reddit: https://www.reddit.com/r/3blue1brown

Instagram: https://www.instagram.com/3blue1brown_animations/

Patreon: https://patreon.com/3blue1brown

Facebook: https://www.facebook.com/3blue1brown