From the time of independences until the end of the Cold War, in spite of the participation of a considerable number of African states in the non-aligned movement, everyone in fact chose to align with one or another of the two major blocks.
I got in a fight one time with a really big guy, and he said, "I'm going to mop the floor with your face." I said, "You'll be sorry." He said, "Oh, yeah? Why?" I said, "Well, you won't be able to get into the corners very well."