The Average Distance Between Points on a Square - Monte Carlo Simulation Skip to main content

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The Average Distance Between Points on a Square - Monte Carlo Simulation

It is \( \frac{2 + \sqrt{2}}{15} + \frac{\ln \left ( 1 + \sqrt{2} \right )}{3} \), approximately 0.52140543316472067833. Watch here to see why.

This simulation randomly picks arbitrarily many pairs of points in \( \left [ 0,1 \right ] ^ 2 \), then calculates each pair's distance, and finally calculates the average.



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