Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
NCTM or The Math Forum.


Torsten
Posts:
1,714
Registered:
11/8/10


Spheres within a cube
Posted:
Jun 10, 2013 3:20 AM


Consider a number of nonoverlapping spheres of constant radius uniformly distributed within a cube. I'd like to calculate the probability that a beam passing through the cube from left to right (orthogonal to the left bounding face, e.g.) does not intersect any of the spheres. I know I could find an approximate solution with a Monto Carlo simulation, but maybe somebody knows a program or reference where this problem is already treated.
Many thanks in advance.



