





Among the first people to
study the geometry of crop circles were John Martineau and Wolfgang
Schindler. They mainly studied the formations of the early 90s.
Both John and Wolfgang concentrated on the outer shape of the
patterns trying to find some relationship between the different elements
in a pattern. And they sure found it! I highly recommend John
Martineau's booklet "Crop Circle Geometry" published by Wooden
Books and his book "A Book of Coincidence" which is
unfortunately out of print. This book is also published by Wooden Books. 



Where John was working with different sorts of geometry, Wolfgang
Schindler concentrated on just pentagonal geometry. In this section I
will show you just one of Wolfgang's findings. It is a rather simple
example, but it shows perfectly how far their findings reach. The
example shown is the formation that appeared in 1990 near Chilcomb Down
in England. 
Wolfgang Schindler 



Chilcomb
Down, England 1990
If we draw a circle, that
has it centre point in the left circle of the formation and meets the
right circle of the formation, this newly constructed circle precisely
touches two tramlines (orange lines) that seemed to have nothing to do with the
formation. In this new imaginary circle we can construct a pentagram. This
pentagram precisely cuts the centre of the outer box, and exactly crosses
one of the edges of the inner boxes. Furthermore, the ring of the
formation fits perfectly into the pentagram. 






Apart from this, if we
construct a circle around the right circle of the formation, this
imaginary circle meets the ring of the formation, and just touches one of
the edges of the outer boxes. In this imaginary circle we can construct a
pentagram. This pentagram precisely crosses one of the edges of the inner
boxes, whereas the right circle of the formation perfectly fits into the
pentahedron of the pentagram. 






On top of that, we can construct a circle
that has its centre point in the left circle of the formation and its
perimeter in the centre of the right circle of the formation. In this
large, imaginary circle we can also construct a pentagram. And this
pentagram too meets one of the edges of the outer boxes. And the ring of
the formation fits perfectly into the pentahedron of this pentagram. 






Anyone who knows anything about geometry will
know that all of this goes way beyond chance. There is no way that this
could be a coincidence. And once again, this is only a simple example.
John Martineau and Wolfgang Schindler found many formations that were far
more complex.
But it goes further. The shown sophisticated geometry contains an extra
dimension. A hidden, internal geometry. Read the next sections to find out
more about this internal geometry. 






