Pi Approximation Day

[Valentin Albillo]

.
Hi, EdS2,

(07-24-2022 09:10 PM)EdS2 Wrote:  About these various offerings for more efficient calculation of pi - I feel they miss the point a little bit. I think - for me - the appeal of Valentin's offering comes from the rather small number of terms to get the recognisable first few digits, and the clever hiding of the 10 as a loop counter.

Thanks for your appreciation, and that also applies to pauln's aesthetic appreciation as well.

I also think Mr. Klemm et al. really did miss the point, turning this Pi Approximation Day thread into yet another Pi Day thread.

Getting Pi to 1,000 or 10,000 or whatever high number of places isn't proper for an approximation (like 22/7), which surely should never exceed the 10-12 digits available in our vintage HP calculators (as my 14-step code did), and has been done and redone and re-redone to death countless times in this forum and others.

Also, getting said 1,000 digits on a laptop or using Matlab or something similar utterly detracts from the purpose here.

This is the Museum of HP calculators, after all. There are plenty of places where you can show off your proficiency with Matlab or Mathematica or Python in your laptop if for the umpteen time you can't resist the urge to show off your abilities using such.

Best regards.
V out.