by michael0x40
(π)
IPFS
15 November 2021•TEZOS•IPFS
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)
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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