The Pigeonhole Principle - Disk Coverings

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In 1834, Johann Dirichlet noted that if there are five objects in four drawers then there is a drawer with two or more objects. The Schubfachprinzip, or drawer principle, got renamed as the pigeonhole principle, and became a powerful tool in mathematical proofs.
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Contributed by: Ed Pegg Jr (March 2011)
Open content licensed under CC BY-NC-SA
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Details
Based in part on Erich's Packing Center: Covering http://www.stetson.edu/~efriedma/packing.html.
Permanent Citation
"The Pigeonhole Principle - Disk Coverings"
http://demonstrations.wolfram.com/ThePigeonholePrincipleDiskCoverings/
Wolfram Demonstrations Project
Published: March 15 2011