Crop-circle geometry

top-notch introductory articles

compiled by Jonah Ohayv



I. The mathematical eqivalents of musical tones and crop-circle's geometrical relations, by Gerald Hawkins and others:

http://www.cropcirclesecrets.org/hawkins.html
http://www.cropcirclesecrets.org/crop_circles_theorems.html
examples - http://www.cropcirclesecrets.org/hawkinsb.html and so on
http://cropcircleconnector.com/ilyes/ilyes16.html
http://www.cropcirclesecrets.org/crop_circles_diatonics.html
http://cropcircleconnector.com/Dutch/CROPCIRCLESAN%20QUANTUMMECHANICS.html


II. The many-faceted crop-circle geometrical research of Bert Janssen:

http://www.bertjanssen.nl/observations.html
http://www.cropcirclesandmore.com/content/welcome.html


III. A high-school textbook of crop-circle geometry, by Nick Kollerstrom:

http://www.hypermaths.org/cropcircles


IV. Dimensional leaps of Paul Vigay:

http://www.cropcircleresearch.com/articles/e001-cd1.html
http://www.cropcircleresearch.com/articles/e002-cd2.html


V. The "Snowflake" crop-circle as a Koch fractal:

http://www.cropcircleresearch.com/articles/e015-97report.html

(There was also another double-fractal snowflake-formation during the same summer.)


VI. Geometrical construction of crop-circles' shapes:

http://www.cropcircle-archive.com/1_UK/3_geo/geo.html click "geometry"
http://www.cropcirclesecrets.org/crop_circles_sacredgeo.html
http://www.zefdamen.nl/CropCircles/en/Crop_circles_en.htm
http://www.martinkeitel.net/cropcircles/ under "articles & research"
http://www.sayer.abel.co.uk/geometry.htm


VII. Pentagonal geometry behind crop-circles, by Wolfgang Schindler:

http://www.kornkreise.info/schindler click "T", then "evolution and geometry"


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