square_surface_distance

square_surface_distance, an Octave code which estimates the expected value of the distance between a pair of points randomly selected on the surface of the unit square.

Licensing:

The computer code and data files made available on this web page are distributed under the MIT license

Languages:

square_surface_distance is available in a MATLAB version and an Octave version and a Python version.

Related Data and Programs:

square_surface_distance_test

octave_distance, an Octave code which estimates the typical distance between a pair of points randomly selected from the surface or interior of a geometric object such as a circle, disk, sphere, cube.

Reference:

• David Bailey, Jonathan Borwein, Vishaal Kapoor, Eric Weisstein
  Ten problems in experimental mathematics,
  American Mathematical Monthly,
  Volume 113, Number 6, June-July 2006, pages 481-509.
• Eric Weisstein,
  Square Line Picking,
  From MathWorld--A Wolfram Web Resource,
  https://mathworld.wolfram.com/SquareLinePicking.html

Source Code:

• square_surface_distance_histogram.m, displays a histogram of sampled distances between a random pair of points on the surface of the unit square.
• square_surface_distance_stats.m, estimates the mean and variance of the distance between a random pair of points on the surface of the unit square.
• square_surface_sample.m, returns random points on the surface of the unit square.