Blog post

http://wp.me/p6aMk-4FA

Simulation

https://docs.google.com/spreadsheets/d/1ZPnDOQlncgPZsLKeYXqKDNL93-RUFTqypot4EY9h61w/edit?usp=sharing

Sources and further reading

Quadruple integral

http://math.stackexchange.com/questions/1254129/average-distance-between-two-random-points-in-a-square

Difference of two uniform variables

http://www.math.wm.edu/~leemis/chart/UDR/PDFs/StandarduniformStandardtriangular.pdf

Difference of two uniform variables and solving the double integral

https://www.quora.com/How-can-I-calculate-the-mean-distance-of-two-points-placed-at-random-in-a-unit-square

Solving the double integral

http://math.stackexchange.com/questions/1294800/average-distance-between-two-randomly-chosen-points-in-unit-square-without-calc

Mean distance polar coordinates change

http://www.mathpages.com/home/kmath324/kmath324.htm

Integral secant cubed

https://en.wikipedia.org/wiki/Integral_of_secant_cubed

Mean distance square

http://mathworld.wolfram.com/SquareLinePicking.html

Cleve Moler’s blog post

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