Hilbert's Curve, and the usefulness of infinite results in a finite world

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by Super User, 4 years ago
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Space filling curves, turning visual information into audio information, and the connection between infinite and finite math.


For more information on sight-via sound, this paper is particularly thought provoking:

Von Melchner, Laurie, Sarah L. Pallas, and Mriganka Sur. "Visual behaviour mediated by retinal projections directed to the auditory pathway." Nature 404.6780 (2000): 871-876.

or this NYT summary:

http://www.nytimes.com/2000/04/25/science/rewired-ferrets-overturn-theories-of-brain-growth.html

Also check out this excellent podcast on Human echo-location:

http://www.npr.org/programs/invisibilia/378577902/how-to-become-batman

For anyone curious to read more about the connections between infinite and finite math, consider this Terry Tao blog post:

https://terrytao.wordpress.com/2007/05/23/soft-analysis-hard-analysis-and-the-finite-convergence-principle/