Dive into a 54-minute mathematical exploration of the power tower puzzle in this engaging video from the 3Blue1Brown lockdown live math series. Explore the concept of tetration, analyze power tower convergence, and learn to use Python for iterative calculations. Discover the intricacies of Knuth's Up Arrow Notation and Graham's Number while engaging with audience questions and brainteasers. Visualize complex mathematical concepts using Desmos graph tools and delve into the fascinating world of power towers for complex numbers and fractal sets. Challenge yourself with homework puzzles and gain insights into advanced mathematical concepts through clear explanations and interactive demonstrations.
Overview
Syllabus
Question 1.
Answer 1.
Introduction to tetration.
How exponentiation works in tetration.
Python program for power tower iterations.
Question 2.
Python Program regarding question 2.
Answer 2 and explanation.
Power tower for infinite size converges or not? (Thumbnail question) .
Question 3.
Footage of Grant's setup arrangement problem due to construction-work back at home..
Answer 3 and explanation.
Checking logic behind 2 different problems of power towers whose answer converges to the same value (Is it even possible?).
Checking same logic using Desmos graph tool i.e. Cobweb Graph (Desmos graph link in description) .
Question 4.
Questions from audience tweets.
Knuth's Up Arrow Notation and Graham's Number (Check Numberphile video in description) .
Answer 4 and explanation.
Homework/Challenge Puzzle .
Thumbnail question power tower logic.
Audience questions from twitter.
Power tower for complex numbers/Fractal set.
Brainteaser .
More questions from tweets.
Notes for lock-down series in Grant's Tweeter .
Taught by
3Blue1Brown
