The power tower puzzle | Lockdown math ep. 8
3Blue1Brown
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#### Published On May 12, 2020

A fun puzzle stemming from repeated exponentiation.
Brought to you by you: https://3b1b.co/ldm-thanks

Notes by Ngân Vũ:

Play along on Desmos:
https://www.desmos.com/calculator/nul32eaaa9

Related videos.
Calculus series:

In particular look at:
https://youtu.be/CfW845LNObM

Numberphile on Grahm's constant:
https://youtu.be/XTeJ64KD5cg

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Video timeline (thanks to user "noonesperfect")
0:36 Question 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
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.
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)
37:29 Homework/Challenge Puzzle
39:20 Thumbnail question power tower logic
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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