|
Click on the
picture above for a larger view
Over
the decades, a number of crop circles have presented an undeniable
challenge to those who still insist that
human beings are the sole creators of the
crop circle
phenomenon. The
Woodborough Hill Crop Circle
that appeared on August 12, 2000, and which was the finale of the 2000 crop circle
season, is one such formation.
At the time it
was one of the most complex and geometrically rich patterns ever to
appear. It sat nested between Picked Hill and Woodborough Hill,
close to Alton Priors and Alton Barnes. The formation
measured 250 feet in diameter and was composed of over 300
individual standing triangles that were arranged around a set of
thirteen concentric rings. The triangles created an effect of
spiraling curves which crossed and overlapped.
The Woodborough Hill formation also had the unmistakable geometric
imprint of various natural forms, such as a sunflower seed head,
pine cone etc. This template is created by interlocking Fibonacci
spirals. It followed the pattern of previous (and subsequent) crop
circles that depicted mathematical sequences that generate natural
forms. The Fibonacci curve is also a proto fractal. It is
self-referential and mandala-like at any point down its curvature.
This spectacular
design was based on the Golden Mean spiral, a mathematical ratio
found in nature, and commonly referred to as
phi. There is a way to
draw a Golden Mean spiral by using a square and applying the phi
ratio (1:1.618) to generate the various compass points required to
grow the spiral. In the case of the Woodborough Hill 2000 crop
circle, this would have to have been repeated 22 times, reversed and
then overlaid. Fourteen concentric rings would then have to be
inscribed to complete the matrix. Then the crops would have to have
been laid down in alternate segments. If you’re feeling lost here,
then you’re getting the point. This is almost (if not in fact) a
supernatural task.
In addition, the entire 'sunflower' crop glyph consists of 22x2
spirals (clockwise, and counterclockwise), followed by 14 radial
circles. Effectively this produces 44/17, or 22/7 – that other most
significant
mathematical ratio -
the
ratio of a circle's circumference to its diameter in Euclidean
geometry
(3.141...) -
called
pi.
Once again, the
Circlemakers used brilliance and beauty in a
most benevolent form of communication
to beguile us into wonder and enquiry. |