The other side of the coinIt could be defined as the 'round off of the square', although the purpose remains to define circumference and circle. I wanted to expose it to re-propose on balance the extreme linearity of the procedure as well as the charm of discovery.
Once the key of derivation of the π has been identified, reversing the path leads us to appreciate a sort of message, which brings us closer to the acquisition of all that has been described so far, starting from the Square Root of the Golden Section.
Instead of striving to mirror the
A line tangent to it, reduced to a chord at the two points where it intersects the larger circle, will be equivalent to that hinge which is √Φ, virtually providing the measurement of the circumference.
The parameter is substantial, not only in geometry and mathematics but on a physical and quantum level. It is the soul of what we call pi.Eg. four strings in quadrangular symmetry add together the length of the circumference while necessarily crossing;
and the symbolism of the figure highlights an irreplaceable ratio that helps even more to conceive the relevance of the square root and the golden section, in order to extrapolate the π.
Opening your mind to the native π – not to its circular version intended by a road paved with polygons – the aforementioned intermediary factor between Unity and Φ, becomes equally the conversion factor between square and circle: to carry it out in every sense just multiply the π: