cube_distance

cube_distance, a Python code which considers the problem of describing the typical value of the distance between a pair of points randomly selected in the interior of the unit cube in 3D.

Licensing:

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

Languages:

cube_distance is available in a MATLAB version and a Python version..

Related Data and Programs:

ball_distance, a Python code which considers the problem of describing the typical value of the distance between a pair of points randomly selected in the unit ball in 3D.

circle_distance, a Python code which considers the problem of describing the typical value of the distance between a pair of points randomly selected on the circumference of the unit circle in 2D.

disk_distance, a Python code which considers the problem of describing the typical value of the distance between a pair of points randomly selected in the unit disk in 2D.

hyperball_distance, a Python code which considers the problem of describing the typical value of the distance between a pair of points randomly selected in the interior of the unit hyperball in M dimensions.

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line_distance, a Python code which considers the problem of describing the typical value of the distance between a pair of points randomly selected in the unit line segment.

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sphere_distance, a Python code which considers the problem of describing the typical value of the distance between a pair of points randomly selected on the surface of the unit sphere in 3D.

square_distance, a Python code which considers the problem of describing the typical value of the distance between a pair of points randomly selected in the unit square in 2D.

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Reference:

• Eric Weisstein,
  Cube Line Picking,
  From MathWorld--A Wolfram Web Resource,
  https://mathworld.wolfram.com/CubeLinePicking.html

Source Code:

• cube_distance.py, the source code.
• cube_distance.sh, runs all the tests.
• cube_distance.txt, the output file.

• cube_distance_compare.png, compares observed and theoretical values of the PDF.
• cube_distance_histogram.png, a histogram of the sample results.
• cube_distance_pdf.png, a plot of the theoretical probability density function.