Crop-circle geometry

compiled by Jonah Ohayv

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

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

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

IV. Dimensional leaps of Paul Vigay:

V. Rotating tetrahedra and crop-circles, by Jens Rowold:

VI. 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.)

VII. Geometrical construction of crop-circles' shapes:

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