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This reasearch shows how to derive geometric theorems from crop circles.  The crop circles may also be decoded to yield musical notes.

Crop Circle Theorems

Analysis of the Locust Grove Crop Circle Formation

Analysis of the Miamisburg Crop Circle Formation

Analysis of the Geneseo Crop Circle Formation

Analysis of the Madisonville Crop Circle Formation

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Copyright 2007 and 2008 by C. D. Gragg, All rights reserved

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