Puneet Varma (Editor)

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

4 + 17 2 − 6 3 − 7 π 105 + ln ⁡ ( 1 + 2 ) 5 + 2 ln ⁡ ( 2 + 3 ) 5 .

Its numerical value is approximately

0.66170718226717623515583.

References

Robbins constant Wikipedia
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