I have a perfect rigid sphere of diameter 1.
I have infinite supply of rope. The rope is infinitely flexible and can be cut or glued without losing or adding length. The rope can be glued at any place (extreme to extreme, or extreme to middle). The cross-section of the rope has area zero (i.e. the rope has only length but no other dimensions).
The objective is to use the rope to build a net from which a sphere of diameter 1 cannot escape.
What is the minimum amount of rope needed?