Hilbert's Curve: Is infinite math useful?

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/sur2.pdf

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/album/the-music-of-3blue1brown

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Видео Hilbert's Curve: Is infinite math useful? канала 3Blue1Brown