The "Pi-drawer" made easy

Following a period of essential maturation, this third edition of the Pi-drawer retraces the conceptual framework that led to the immediate extraction of π from the circle. It explains the underlying premises and the steps of its development in a direct, straightforward manner, aiming to maximize understanding of a procedure that stands on its own — almost as if it needed no demonstration, but only a clear vision of objective data. It may seem like an oxymoron, but its greatest challenge for me was precisely its implicit, elusive circular simplicity. As for me, forgive my lack of academic formalism, I belong to an antiquity in which the primary qualification was knowledge. Be that as it may, the Pi-drawer is the only method available to mathematical science throughout the millennia known to current civilization, for calculating the native Pi rather than an inevitably approximate simulation of it, given the geometric principle whereby an arc —even one consisting of just three imaginary points— will always be longer than the chord formed by its two endpoints. . As things stand, is the prevailing value of π 3.14159 sufficiently reliable for all types of calculations? The Pi-drawer proves the opposite, since if one pours such fervor into trillions of decimal places, the third digit of the correct 3.14460 counts more than all the subsequent ones. It does so in two stages, through a process that — in spite of no small amount of effort — I might present as elementary: it maps one-eighth of the circumference onto a line segment, thus identifying it geometrically. generates a clear and well-founded comparison context, which will allow it to be calculated with impeccable algebraic precision, without the need for speculation. It is simply a matter of acknowledging this — something that, I believe, the entire scientific community will not be enabled to put off for too many Pi Days.