Shared August 11, 2017
Visualizing high-dimensional spheres to understand a surprising puzzle.
Home page: https://www.3blue1brown.com/
Brought to you by you: http://3b1b.co/high-d-thanks
And by Brilliant: https://brilliant.org/3b1b
Check out Ben Eater's channel: https://www.youtube.com/user/eaterbc
Animations largely made using manim, a scrappy open source python library. https://github.com/3b1b/manim
If you want to check it out, I feel compelled to warn you that it's not the most well-documented tool, and it has many other quirks you might expect in a library someone wrote with only their own use in mind.
Music by Vincent Rubinetti.
Download the music on Bandcamp:
Stream the music on Spotify:
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.
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, and click the bell to receive notifications (if you're into that).
If you are new to this channel and want to see more, a good place to start is this playlist: http://3b1b.co/recommended
Various social media stuffs:
The Perfect Cosmological Principle | Return of the Steady State Universe
The Banach–Tarski Paradox
But how does bitcoin actually work?
Perfect Shapes in Higher Dimensions - Numberphile
How Earth Moves
Every Way to Cook an Egg (59 Methods) | Bon Appétit
Everything is Connected -- Here's How: | Tom Chi | TEDxTaipei
Who cares about topology? (Inscribed rectangle problem)
Hilbert's Curve: Is infinite math useful?
Feynman's Infinite Quantum Paths | Space Time
Edward Snowden: How Your Cell Phone Spies on You
The hardest problem on the hardest test
Pi hiding in prime regularities
Fractals are typically not self-similar
Which Way Is Down?
Some light quantum mechanics (with minutephysics)
A Journey into the 4th Dimension - Perspective [Part 1]
Leonard Susskind on The World As Hologram
What Does a 4D Ball Look Like in Real Life? Amazing Experiment Shows Spherical Version of Tesseract