Cube Triangle Picking

The mean triangle area of a triangle picked at random inside a unit cube is A^_=0.15107+/-0.00003, with variance var(A)=0.008426+/-0.000004.


The distribution of areas, illustrated above, is apparently not known exactly.

The probability that a random triangle in a cube is obtuse is approximately Pi(3)=0.5425.

See also

Ball Triangle Picking, Cube Line Picking, Cube Point Picking, Square Triangle Picking

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Finch, S. R. "Geometric Probability Constants." §8.1 in Mathematical Constants. Cambridge, England: Cambridge University Press, pp. 479-484, 2003.

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Cube Triangle Picking

Cite this as:

Weisstein, Eric W. "Cube Triangle Picking." From MathWorld--A Wolfram Web Resource.

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