A lion and a man in a closed arena have equal maximum speeds. What tactics should the lion employ to be sure of his meal? This problem was stated
by Rado in 1925 (Littlewood 1986).
An incorrect "solution" is for the lion to get onto the line joining the man to the center of the arena and then remaining at this radius however the man moves. Besicovitch showed the man had a path of safety, although the lion would come arbitrarily close.
Croft, H. T. "'Lion and Man': A Postscript." J. London Math. Soc.39, 385-390, 1964.Janković,
V. "About a Man and Lions." Mat. Vesnik2, 359-361, 1978.Littlewood,
J. E. Littlewood's
Miscellany. Cambridge, England: Cambridge University Press, 1986.O'Connor,
J. J. and Robertson, E. F. "Abram Samoilovitch Besicovitch."
http://www-groups.dcs.st-andrews.ac.uk/~history/Mathematicians/Besicovitch.html.Rado,
P. A. and Rado, R. Math. Spectrum7, 89-93, 1974/75.
