The search for a Mathematical Proof of Pi

To understand my proof, you need to understand this mathematical identity.

To learn more about this identity, look at this image or mess around with this spreadsheet or this interactive diagram maths identity triangle.

A close look into the sin/cos relationship.

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.

Pi and the squared circle

In the following interactive diagram, please use the following versions of 4/π and comment below, which one you think is the correct value.

a) 1.2732395447351626861510701069801 (calculator Pi)
b) 1.2712753453503583545403454617905 (rootwo Pi)
c) 1.2720196495140689642524224617375 (golden Pi)

As you will see, only one value has perfect symmetry.

4/π = zoom = x = y =

The symmetry of the squared circle

4/π :

The angles of pi

1
4/π :

The pi triangle

1
4/π :

The maths identity triangle

1
2
B :

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.

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)