تسجيل الدخول

تسجيل

Cube Triangle Picking

المؤلف:  Finch, S. R.

المصدر:  "Geometric Probability Constants." §8.1 in Mathematical Constants. Cambridge, England: Cambridge University Press

الجزء والصفحة:  pp. 479-484

8-2-2020

1310

Cube Triangle Picking

 

The mean triangle area of a triangle picked at random inside a unit cube is , with variance .

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

The probability that a random triangle in a cube is obtuse is approximately .

---

---

REFERENCES:

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