The power tower puzzle | Ep. 8 Lockdown live math
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:
https://youtu.be/CfW845LNObM
Numberphile on Grahm's constant:
https://youtu.be/XTeJ64KD5c…
Watch on YouTube ↗
(saves to browser)
Chapters (25)
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 ho
16:49
Answer 3 and explanation
17:40
Checking logic behind 2 different problems of power towers whose answer converge
19:42
Checking same logic using Desmos graph tool i.e. Cobweb Graph (Desmos graph link
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 descri
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
Playlist
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