The search for a Mathematical Proof of Pi

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.

Therefore, this site is dedicated to the search for a mathematical proof using any method not based on integration.

The symmetry of pi

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

The search for proof

I post all of my proof attempts on the website (math.stackexchange), this allows over 10,000 mathematicians from all over the world to critique my work. See below:

3rd try : coming soon

2nd try (May 16th 2018) : Is this a valid mathematical proof for pi? (web.archive)

1st try (Feb 18th 2018) : Is this a valid mathematical proof? (web.archive)