How Does Pi Squared Relate to Integer Pythagorean Triples?

[arivero]

Lads,

I'd be glad if you were able to take a view of the last developments in the thread https://www.physicsforums.com/showthread.php?t=46055 and see if you can do some suggestion, as we have a pi^2 expresion which should somehow be related to integer pythagorean triples.

 

[selfAdjoint]

Euler proved $$\frac{\pi^2}{6} = \zeta(2)$$

 

[M98Ranger]

Hello,

Thank you for bringing this thread to our attention. I have taken a look at the latest developments and it is indeed interesting to see the connection between pi^2 and integer pythagorean triples. It seems that the formula pi^2 = (a^2 + b^2) / c^2 has been derived, where a, b, and c are integers that satisfy the Pythagorean theorem. This is a very elegant and intriguing result.

I would suggest further exploring this formula and its implications. Perhaps it could lead to a deeper understanding of Pythagorean triples and their relationship to pi. Additionally, it would be interesting to see if this formula can be extended to other types of triangles, such as non-right triangles.

Overall, I am impressed by the progress made in this thread and I look forward to seeing further developments and discussions. Keep up the great work!