Lecture 8: The power tower puzzle
Added 2020-05-12 17:32:50 +0000 UTCI'm planning to end this series after ten episodes, making this the third to last. It involves several fun puzzles about a fun (and weird!) operation, really forcing you to think things through.
Comments
Well spotted! I talk about this briefly in the pinned comment on YouTube.
3blue1brown
2020-05-25 17:13:47 +0000 UTCYou forgot the parenthesis around the base: (-sqrt(2)). And this will make the expression uncomputable.
2020-05-22 23:00:41 +0000 UTCI can't yet explain what's happening with x = -sqrt(2), but I have three observations: 1. The fractal indicates that there _are_ points on the negative real axis where the tower converges (or rather: stays bounded?). 2. In the python script in the end, I think parentheses were missing. 3. When I add the parentheses in python, the values seem to oscillate.
2020-05-13 21:06:19 +0000 UTCI didn't hear 'it'; perhaps because the regiment is having target practice with small arms across the hill!
Gregor Shapiro
2020-05-13 08:02:23 +0000 UTCThanks! Yeah, I love this topic, and it opens so many other avenues of curiosity if you're willing to walk down them...
3blue1brown
2020-05-12 21:59:46 +0000 UTC
