List questions from pi

Published on 10 Jan 2020 - 17:35

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Best possible rational approximation of $\pi$

Published on 12 Jan 2020 - 16:27

241

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Rational approximations for $\pi$ using Fibonacci numbers?

Published on 14 Jan 2020 - 22:48

140

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Proof that $\zeta(11) > \frac{\pi^3}{31}$.

Published on 17 Jan 2020 - 15:53

8.4k

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Unexpected appearances of $\pi^2 /~6$.

Published on 18 Jan 2020 - 1:19

126

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Why does Euler's number occur in the Chudnovsky Formula for calculating $\pi$?

Published on 25 Mar 2026 - 14:32

1.2k

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Variance of Area and Average Estimators in Monte Carlo Estimation of Pi

Published on 27 Mar 2026 - 1:00

983

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There's something strange about $\sum \frac 1 {\sin(n)}$.

Published on 23 Jan 2020 - 17:07

52

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Is this function an injection of $\mathbb{N} \to \mathbb{R}$?

Published on 26 Mar 2026 - 1:03

116

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Why is '$\frac{r^2\pi}{d^2}=\frac{\pi}{4}$'? (a.k.a. the ratio between a square and a circle, $a=d$)

Published on 24 Jan 2020 - 16:42

555

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Why is the ratio of circumference to diameter $\pi$, and not any other number?

Published on 01 Feb 2020 - 2:15

180

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What it means to say $\pi$ and $e^\pi$ are algebraically independent $?$

Published on 26 Mar 2026 - 9:42

162

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Why is pi irrational number?

Published on 03 Feb 2020 - 16:53

470

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A peculiar series involving $\pi$

Published on 03 Feb 2020 - 21:41

710

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Show that $\int\limits_0^1 \left(x^{x}\right)^{\left(x^{x}\right)^{\left(x^{x}\right)^{\left(x^{x}\right)^{⋰}}}}\ \mathrm{d}x=\frac{\pi^2}{12}$.

Published on 25 Mar 2026 - 17:52

List Question

How to find the height of an odd regular n-gon?

Best possible rational approximation of $\pi$

Rational approximations for $\pi$ using Fibonacci numbers?

Proof that $\zeta(11) > \frac{\pi^3}{31}$.

Unexpected appearances of $\pi^2 /~6$.

Why does Euler's number occur in the Chudnovsky Formula for calculating $\pi$?

Variance of Area and Average Estimators in Monte Carlo Estimation of Pi

There's something strange about $\sum \frac 1 {\sin(n)}$.

Is this function an injection of $\mathbb{N} \to \mathbb{R}$?

Why is '$\frac{r^2\pi}{d^2}=\frac{\pi}{4}$'? (a.k.a. the ratio between a square and a circle, $a=d$)

Why is the ratio of circumference to diameter $\pi$, and not any other number?

What it means to say $\pi$ and $e^\pi$ are algebraically independent $?$

Why is pi irrational number?

A peculiar series involving $\pi$

Show that $\int\limits_0^1 \left(x^{x}\right)^{\left(x^{x}\right)^{\left(x^{x}\right)^{\left(x^{x}\right)^{⋰}}}}\ \mathrm{d}x=\frac{\pi^2}{12}$.

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