After 3 years I think I am finally getting somewhere..

The Universal Diagram

The following interactive diagram unites the triangle, square and the circle. Please use the following versions of (4/π+π/4), or try a cosmic number.

a) 2.0586377081326109957667309528 (calculator Pi)
b) 2.0578869977020399139902399165 (rootwo Pi)
c) 2.0581710272714922503219810475 (golden Pi)

Universal Maths
= (X) ≥ 1
= (1/X) ≤ 1

= B = (X - 1/X)
= C = (X + 1/X)

show values/hide equations?

Yes, I know that in 1882 Lindemann proved that π (3.141) is transcendental, but nobody has ever proved that π = 3.141. The way the value is currenlty calculated is by using a method of integration, and as you can see here, I believe at best it is a very close approximation.

A detailed look at the mathematics of the giza plateau, including the Sphinx and the three pyramids of the pharaohs Khufu, Khafra, and Menkaura.

The search for symmetry

Because the circle and the square are both symmetrical, we would expect pi/the 'squared circle' to have perfect symmetry.

Below we can see the symmetry of the tangents to the arc.

Below we can see the symmetry of the quarter squared circle.

By combining two quarter squared circles, we get the following ten formations.

The images below show the five fold symmetry of the squared circle.

My books on pi

All my work is available for free. If pi was golden (work in progress).


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