
Image John Montgomery Copyright 2007

http://www.kornkreise-forschung.de

Image
Steve Alexander Copyright 2007
Reconstruction of the
2007 West Overton formation

By Zef Damen
A new picture from West Overton on August 17
shows a stylistic repeat of Toot Baldwin and Sugar Hill, but now
its "day cube" symbols have been cut almost in half, and have
been arranged into groups of six. Hence in the context of other
crop pictures over the past few weeks, it could mean "6 x 0.5 =
3". Recall how Sugar Hill on August 1 said "18", while Stanton
St. Bernard on August 12 said "6".
Technically each day-cube symbol from West
Overton has been sliced off at all of its corners. In which
case, each could represent one-third of a day, giving 6 x 1/3 =
2 rather than 6 x 1/2 = 3. And so August 16 at midnight (when it
appeared) plus 2 full days = August 18 at midnight.

Click on hot spots to link to previous formations.

Click on hot spots to link to previous formations.
But I found such details hard to draw by
Powerpoint, and chose for that reason to say "cut in half"
instead. Any geometers in the audience would be welcome to
disagree. Clever, clever, clever! As Alexander Thom once wrote,
"I find the intelligence of those people who lived long ago in
the British Isles to be somewhat superior to my own."

Here is the precise geometrical
relationship between West Overton and two other crop
pictures from Toot Baldwin or Sugar Hill.
I did some calculations of
volume or surface area, in order to estimate "how many cubic
days" their new "triangular pyramid" symbol might represent,
but the mathematics quickly became too complicated to show
here! No more than half a day anyway.
One of your more
mathematically-minded readers may wish to contribute an
exact solution.


Click on hot spot to see Sugar Hill
RED COLLIE |

Image
Steve Alexander Copyright 2007

Image
Lucy Pringle
Copyright 2007

This reminded me of an article I had read in
Popular Science years ago about a tile shape which I believe
originated in ancient Persian tile mosaics. It is one shape
which can be used in many patterns to fill any flat surface, or
tile any flat surface. The crop circle of August 17 shows such a
tile pattern as it uses only on tile shape and one design within
that shape. The entire circle explanation may be no more
complicated than that. The overall patterns reflect complex
geometry as a natural consequence of their seemingly endless
ways of combining.
Timothy K. Price |

Diagram
Bertold Zugelder Copyright 2007
|