Radius of largest n+1 balls in n-dimensional unit cube?

Hello,

I would appreciate your help or comment about the following problem.
Consider a N dimensional space. If I want to put N+1 balls (all with
the same radius R), within the unit hypercube such that:

1. The balls do not cut through each other
2. One of the balls is at the center of the cube, i.e. at (0.5 , 0.5,
0.5, ...., 0.5)

Then what is the maximum possible R in terms of N? If not easy, a good
approximation will be helpful too.

Regards

Golabi

.

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