It all started early 1996 with my
attempts to reconstruct certain formations on paper by means of a ruler
and a pair of compasses. I didn't use the ruler to measure, only to draw
straight lines. I was therefore working with mere construction. The
results were fascinating.
One of the findings was
that the formations I studied turned out to have exactly the same basic
pattern. The diagram on the right shows this basic pattern. It is very
simple and you most likely have made this pattern many times while you
were bored during the mathematic lessons at school.
Look at the section
Crop Circle Reconstructions - the Basis
for all the steps needed to construct this basic pattern.
The three constructed
lines in the basic pattern are perpendicular to the sides of the
equilateral triangle and are dividing these sides exactly in half.
It is important to notice
that this is not a coincidence, but the result of the used geometrical
reconstructing different crop circles you will see that this happens
over and over again. You will for example find perfect ratios, diatonic
ratios of which you will think it's all-coincidental. But it is not. It
is just the simple consequence of the used techniques. In geometry there
is no such thing as coincidence. It all follows strict rules. Every new
element is determent by previous elements. Taking the 'basic pattern' as
starting point, one can reconstruct many crop formations. For instance
the formation that appeared near Winterbourne Bassett in 1995.
Bassett, England 1995
formation is a very good example showing clearly how all the different
elements in the formation are connected to each other. One element
follows logically out of the previous one. There is nothing random about
construct the basic pattern. Then construct a circle and three sets of
lines as indicated in the diagrams.
construct two other sets of lines. See diagrams.
a big circle as shown in the diagram. Finally construct a small circle
using the dimensions at the bottom of the diagram and place this circle
in the center.
With this the reconstruction is finished. Just rub
out the appropriate lines, fill in the center circle and you have the
crop formation as it appeared near Winterbourne Bassett.
of course nice to know that different elements within a crop circle are
connected, but it goes a lot further. I urge you to read the sections
Size, Placing and Ratios,
In these sections you will see how far reaching this internal geometry is
and what the implications are.