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

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:


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


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