Voronoi Diagrams are a geometric object formed by a set of points in the plane called "sites," and a corresponding set of polygonal "cells," each composed of the region for which a particular site is the closest out of all the sites. But what happens when you place the sites at random? This video asks specifically what we can expect for the average perimeter of one of the cells given the total number of sites. In the full video, I show my viewers' strategies to solve this problem and there are a bunch of cool, unexpected results! Check it out here: • Why are these simple polygons so hard to m...
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