“Squaring the circle” for a “Celtic cross” on July 18, 2021 near Old
Whittington: what are the crop artists trying to tell us exactly?
We can see in this new crop picture both a four-armed “Celtic
cross”, and also a geometrical construction for “squaring the
circle”. What do we mean by “squaring the circle”? It means drawing a
square and circle of equal perimeters
or equal areas, using just a compass and
This crop picture shows five small circles of equal size: one at the
very centre of its large square and circle, plus four others at each of
four corners of its large square. Those five circles create the shape of
a “Celtic cross”.
Likewise its large square and large, thin circle show a well-known
geometrical diagram for “squaring the circle” (see
Squaring_the_circle). Each of its four “corner circles” also show
another thin circle, drawn around them, to suggest another unseen square
of equal perimeter for each thin, outlined circle.
The E.T. crop artists often draw a “Celtic cross”, as their symbol for
“planet Earth” with its four yearly seasons (see
Potterne comments). They also draw geometrical constructions for
“squaring the circle” (see times 3:15 or 8:40 of
WATCH). So by drawing these two images together, what are they
trying to tell us exactly?
We will have to go through some basic mathematics to explain. First,
please note that "squaring the circle" is sometimes used as a metaphor
for “trying to do the impossible” (see
Squaring_the_circle). Why should such a simple task be impossible?
Suppose we wish to construct a circle and square of equal perimeters. We
will need to equate the perimeter of a circle 2πr to the
perimeter of a square 4l. Yet there is no exact, finite solution
using a compass and straight edge! We can only approximate π by
Or suppose we wish to construct a circle and square of equal areas. We
will need to equate the area of a circle πr2
with the area of a square l2 . Again there is no
exact solution using a compass and straight edge. We can only
approximate π by 22/7.
In summary, when those crop artists draw a “Celtic cross” symbol for
“planet Earth”, along with a standard geometrical diagram for “squaring
the circle”, they mean that they are trying to do something
impossible for humans on planet Earth. They may hope to
accomplish their goals approximately, but not exactly.
What a troublesome species we are! Slowly-evolving primates, with a
climate-destroying economy based on fossil fuels, and a propensity for
nation-state warfare. What can any friendly E.T. do?
(Dr. Horace R. Drew)