by michael0x40

(π)

IPFS
(π)

15 November 2021TEZOSIPFS

3.1415926535....

Computing Pi is deeply routed in human history.

We can get an estimate for pi (π) via randomly placing coins on square containing a circle. The more iterations, the more precise the median (middle) estimate for pi will be.

The greater the precision of pi; the greener the output.

Technicalities and Probabilties (P()):

P(Coin In Circle) ≈ Area Of Circle / Area Of Square = πr^2 / 4r^2
P(Coin In Circle) ≈ π/4

P(Coin in Circle) = extracted from number of coins in the circle vs out, by randomly placing coins:
= (coins in circle/ coins out of circle)

P(Coin In Circle) ≈ π/4
π ≈ 4 x (coins in circle ÷ coins out of circle)




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