Wednesday, September 14, 2005

Geometric Reconstructions of Crop Circles


What are ruler-and-compass constructions? In contrast to making use of a ruler with divisions to take the measure of things and express it in metres or feet, ruler-and-compass constructions only use undivided rulers and compasses.
Not all patterns can be constructed by (strict) ruler-and-compass rules. For instance, a regular heptagon � 7-sided polygon � can not be constructed in this way. See the ruler-and-compass constructions page to learn more. There are, however, other ways of constructing odd-numbered polygons. Refer to the non ruler-and-compass constructions page.
How are cropcircle reconstructions worked out? Usually, it takes a number of steps. First, I use MS Word, insert the aerial picture as a background image and draw ellipses and lines over it as accurately as possible in accordance with the pattern. This helps to get an idea about the internal relationships, and to have a means to make measurements.

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