Cube Point Picking

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 B_n(s) is the B-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


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.

Subject classifications