hypercube_surface_distance

hypercube_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 hypercube in D dimensions.

Licensing:

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

Languages:

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

Related Data and Programs:

hypercube_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.

Source Code:

• hypercube_surface_distance_histogram.m, displays a histogram of sampled distances between a random pair of points on the surface of the unit hypercube in D dimensions.
• hypercube_surface_distance_stats.m, estimates the mean and variance of the distance between a random pair of points on the surface of the unit hypercube in D dimensions.
• hypercube_surface_sample.m, returns random points on the surface of the unit hypercube in D dimensions.