Shared July 21, 2017
Space-filling curves, turning visual information into audio information, and the connection between infinite and finite math (this is a re-upload of an older video which had much worse audio).
Supplement with more space-filling curve fun: https://youtu.be/RU0wScIj36o
For more information on sight-via sound, this paper involving rewiring a ferret's retinas to its auditory cortex is particularly thought-provoking: http://phy.ucsf.edu/~houde/coleman/su...
Alternatively, here is the NYT summary: https://goo.gl/qNuc14
Also, check out this excellent podcast on Human echolocation: https://goo.gl/23f4Yh
For anyone curious to read more about the connections between infinite and finite math, consider this Terry Tao blog post: https://goo.gl/NZ4yrW
Lion photo by Kevin Pluck
Music by Vincent Rubinetti: https://vincerubinetti.bandcamp.com/a...
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:
But how does bitcoin actually work?
Pi hiding in prime regularities
What does it feel like to invent math?
Who cares about topology? (Inscribed rectangle problem)
Solving 2D equations using color, a story of winding numbers and composition
The things you'll find in higher dimensions
The Perfect Cosmological Principle | Return of the Steady State Universe
This problem seems hard, then it doesn't, but it really is
Some light quantum mechanics (with minutephysics)
The Essence of Calculus, Chapter 1
Ramanujan's infinite root and its crazy cousins
Why do prime numbers make these spirals?
Thinking outside the 10-dimensional box
But what is a Neural Network? | Deep learning, chapter 1
The hardest problem on the hardest test
Darts in Higher Dimensions (with 3blue1brown) - Numberphile