this post was submitted on 19 May 2025
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[–] vaguerant@fedia.io 103 points 2 months ago (21 children)

This beats the approximations used in ancient Sumer (3.1065) and China (3). Try contacting their respective records bodies.

[–] Karyoplasma@discuss.tchncs.de 19 points 2 months ago (9 children)

Doesn't have the famous

ln(640320³ + 744)/√163

for some reason. Accurate to 14 decimal places I believe which is more accurate than what you need for 99.9% of its applications.

[–] moody@lemmings.world 11 points 2 months ago (5 children)

It's been said that with 15 decimals, you can calculate the circumference on the observable universe with a precision of the width of an atom.

[–] Karyoplasma@discuss.tchncs.de 4 points 2 months ago

This is an exaggeration.

The universe's radius is around 46.5 billion light years (around 4.4 * 10^26 meters), the error introduced of using 15 decimals of pi is around the order of 10^-16. Thus the error of calculating the circumference would be in the order of

8.8*10^26 * 10^-16 = 8.8*10^10 meters
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