Robbins constant

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In geometry, the Robbins' constant, named after David P. Robbins, is the average distance between two points selected at random within a unit cube. Robbins' constant can be expressed as [1]

Its numerical value is approximately [2]


  1. ^ Robbins, David P.; Bolis, Theodore S. (1978), "Average distance between two points in a box (solution to elementary problem E2629)", American Mathematical Monthly, 85 (4): 277–278, doi:10.2307/2321177.
  2. ^ Plouffe, Simon, "The Robbins constant", Miscellaneous Mathematical Constants, archived from the original on 2003-05-19