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


4/π :

The pi triangle


4/π :

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).



Comments

Please comment below:


the search for a mathematical proof of pi.
a look inside the e-book 'pi versus pi'.
a look inside the e-book 'search for proof of pi #1'.
a look inside the e-book 'search for proof of pi #2'.
a look inside the e-book 'pi proof pi'.