This guy revisits the ancient problem of squaring the circle
and shows that it is possible to square the circle _exactly_ and not just
approximately.
In the late 19th century pi was shown not to be an _algebraic_ number.
He does not challenge that proof.
What he has done is invalidate the assumption that the aforementioned proof
demonstrates the impossibility of squaring the circle.
His does this by showing that pi is a _composite_ and a _constructible_
number.
Unlike the proof of Fermat's last theorem, this is a proof that can be
followed without the need to know tons of higher math.
Harry
See:
http://members.ispwest.com/r-logan/math.html
quotes:
Many mathematicians believe that, because the number pi is transcendental
and not algebraic, and cannot be expressed in any form other than that of an
unending decimal or as the limit of an infinite sequence, it cannot be
constructed as a line segment by any method whatsoever. The fact that a
structure could exist, providing insight into this matter, is nowhere to be
acknowledged.
We are taught in high school geometry class that if the altitude be drawn
to the hypotenuse of a right triangle, each leg is the mean proportional
between the whole hypotenuse and the adjacent segment. This then is the
essence of what I call the pi/phi structure...
