Square line picking is the selection of pairs of points (corresponding to endpoints of a line segment) randomly placed inside a square. n random line segments can be picked in a unit square in the Wolfram Language using the function RandomPoint[Rectangle[], {n, 2}]. Picking two points at random from the interior of a unit square, the average distance between them is the n = 2 case of hypercube line picking, i.e., Δ(2) | = | 1/15[sqrt(2) + 2 + 5ln(1 + sqrt(2))] | = | 1/15(2 + sqrt(2) + 5sinh^(-1) 1) | = | 0.521405... (OEIS A091505).

box integral | cube line picking | disk line picking | hypercube line picking | square point picking | square triangle picking | triangle line picking | triangle point picking