Archimedes and his solution for Pi, what do we have that is better?

[mesa]

The title pretty much says it all, what do we have today that is better than Archimedes 'method of exhaustion' (although I would argue it is quite beautiful) for deriving Pi?

 

[micromass]

It took me 5 seconds to google your answer: http://en.wikipedia.org/wiki/Approximations_of_π

 

[mesa]

It took me 5 seconds to google your answer: http://en.wikipedia.org/wiki/Approximations_of_π

Are you suggesting all of those approximations are better than Archimedes?

 

[micromass]

Are you suggesting all of those approximations are better than Archimedes?

Obviously, yes.

 

[mesa]

Are you suggesting all of those approximations are better than Archimedes?

Obviously, yes.

A wonderfully surprising answer! Which is best and why?

 

[micromass]

A wonderfully surprising answer! Which is best and why?

Read the wiki page I linked. It covers all that and more.

 

[mesa]

Read the wiki page I linked. It covers all that and more.

I don't see it, explain your reasoning.
***EDIT***
If we all here to just copy and paste wikipedia links then what is the point of PF?

 

[micromass]

I don't see it, explain your reasoning.

Explain what? That the wiki page covers the most efficient and fastest formulas and algorithms to approximate $\pi$? Did you even look at the wiki page?

 

[mesa]

Explain what? That the wiki page covers the most efficient and fastest formulas and algorithms to approximate $\pi$? Did you even look at the wiki page?

No doubt about the power of some of those identities such as Ramanujan's 1/Pi (a personal favorite!) however it is difficult to 'see', even the newbies on PF can agree to that. Providing a simple link to wikipedia and claiming victory is not being scientific.

 

[micromass]

No doubt about the power of some of those identities such as Ramanujan's 1/Pi (a personal favorite!) however it is difficult to 'see', even the newbies on PF can agree to that. Providing a simple link to wikipedia and claiming victory is not being scientific.

If we all here to just copy and paste wikipedia links then what is the point of PF?

The point of PF is certainly not so you can ask questions that can be googled in 5 seconds.

https://www.physicsforums.com/blog.php?b=3588

I think we're done here.