We report the discovery of a strictly periodic signal at 1028.7325 +/-
0.0004 s in the light curve of the cataclysmic variable AM Canum Vena
ticorum. This brings to an end the long search for the true binary per
iod of this important star, which represents the latest known stage of
binary star evolution. It provides a more secure and quantitative bas
is for testing theories of binary evolution. And it provides strong ev
idence in favor of the ''permanent superhump'' interpretation of this
star and other cataclysmic variables of extreme mass ratio.