Four Bug Problem

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Four bugs start at the four vertices of a unit square. Each one moves toward their counterclockwise neighbor at a constant speed. This Demonstration shows the curves they trace. The classic mice problem, solved in the MathWorld link, determines the distance that each bug travels.
Contributed by: Joaquín García Domínguez (March 2012)
With additional contributions by: Pablo Alberca Bjerregaard
Open content licensed under CC BY-NC-SA
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"Four Bug Problem"
http://demonstrations.wolfram.com/FourBugProblem/
Wolfram Demonstrations Project
Published: March 9 2012