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https://en.wikipedia.org/wiki/Approximations_of_π https://en.wikipedia.org/wiki/Approximations_of_π The method of using inscribed and circumscribed n-gons conc
by Someone 3y ago
https://en.wikipedia.org/wiki/Approximations_of_π https://en.wikipedia.org/wiki/Approximations_of_π
The method of using inscribed and circumscribed n-gons conceptually is the simplest (1), but converges very slowly. See https://arxiv.org/pdf/2008.07995.pdf https://arxiv.org/pdf/2008.07995.pdf.
(1) at least to non-mathematicians. Pure mathematicians will want to prove the claims that the circumference of a circle is larger than/smaller than that of its inscribed/circumscribed polygon and that both can get arbitrarily close to it if the number of sides gets large enough.
- otras 3y agoThe Digit extraction methods (https://en.wikipedia.org/wiki/Approximations_of_%CF%80#Digit_extraction_methods https://en.wikipedia.org/wiki/Approximations_of_%CF%80#Digit...) section still amazes me, that we can calculate the Nth digit without needing to calculate the digits before it.