Cube point picking is the three-dimensional case of hypercube
point picking .

The average distance from a point picked at random inside a unit
cube to the center is given by

Similarly, the average distance from a point picked at random to a fixed corner is given by

where
is the -box integral .

The average distance from the center of a unit cube to a given face is

(OEIS A097047 ).

See also Ball Point Picking ,

Cube Line Picking ,

Hypercube Point Picking ,

Sphere Point Picking ,

Square
Point Picking ,

Unit Cube ,

Unit
Square Integral
Explore with Wolfram|Alpha
References Bailey, D. H.; Borwein, J. M.; and Crandall, R. E. "Box Integrals." J. Comput. Appl. Math. 206 , 196-208, 2007. Sloane,
N. J. A. Sequence A097047 in "The
On-Line Encyclopedia of Integer Sequences." Referenced on Wolfram|Alpha Cube Point Picking
Cite this as:
Weisstein, Eric W. "Cube Point Picking."
From MathWorld --A Wolfram Web Resource. https://mathworld.wolfram.com/CubePointPicking.html

Subject classifications