Jonathan Shewchuk

people.eecs.berkeley.edu/~jrs

Office 529 Soda Hall Computer Science Division University of California at Berkeley Berkeley, California 94720-1776 (510) 642-3936 [five ten NICE ZEN] Office hours By appointment only (until Spring 2026). Email is the best way to contact me. There's a chance you'll find me in my office afternoons or early evenings…

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Math & Algorithms 1

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Counterintuitive Properties of High Dimensional Space (2018)

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Our geometric intuition developed in our three-dimensional world often fails us in higher dimensions. Many properties of even simple objects, such as higher dimensional analogs of cubes and spheres, are very counterintuitive. Below we discuss just a few of these properties in an attempt to convey some of the weirdness…