Armed with a spear, we traverse the curve in a time shorter than in which a lion can move his own length. We observe that a lion has at least the connectivity of the torus. We transport the desert into four-space. He is then helpless. Let be the cage.
L then converges to our cage.
We observe that wild lions are, ipso facto , not observable in the Sahara Desert. Consequently, if there are any lions in the Sahara, they are tame. The capture of a tame lion may be left as an exercise for the reader. At any given moment there is a positive probability that there is a lion in the cage. Sit down and wait.