“If you’ve done six impossible things this morning, why not round it off with breakfast at Milliway’s—the Restaurant at the End of the Universe!”–Douglas Adams
I recently finished reading the book “The Joy of Pi” by David Blatner. There is a chapter about the concept of squaring a circle, also called the quadrature of a circle. The idea is that, with just a ruler and a compass, you construct a square of equal area to a given circle.
It turns out it cannot be done. It is, in this iteration of the multiverse, impossible. Not difficult, or implausible or really hard. Impossible. You cannot square a circle in a finite number of steps given the conditions of using only a ruler and a compass.
That it is impossible does not prevent people from trying. Individuals do derive solutions to squaring the circle, and sometimes the derivation is erroneous, and sometimes they have a solution that requires a new value for pi.
Pi is the ratio of the circumference of a circle to its diameter. Take the circumference of a circle, divide it by its diameter and get the endless, or transcendental, number 3.141592654….(1) That number is part of the fabric of this universe. It is a fundamental part of how life, the universe, and everything is put together (2). It is a curious psychopathology that some people feel that all of known mathematics is wrong, and that they have a solution to an impossible problem and that they have discovered the hither to unknown, one true value of pi as a result.