Harold Kirby's brilliant principle of mastigont multiplicity is published here posthumously more than 40 years after it was written. He applies this principle to large multinucleate protist symbionts of termites in establishing the taxonomy of Calonymphids (Family Calonymphidae in Phylum Zoomastigina, Kingdom Protoctista). The nuclei and kinetosomes in these heterotrophic cells are organized into trichomonad-style mastigont units which reproduce independently of cytokinesis to generate nine new Calonympha and nineteen new Stephanonympha species. The total of six genera (Calonympha, Coronympha, Diplonympha, Metacoronympha, Snyderella and Stephanonympha, all symbionts of dry-wood-eating termites, Kalotermitidae) are recognized. With the aid of Michael Yamin, the distribution of all twenty-eight of Kirby's Calonympha and Stephanonympha species are tabulated. In italic type I have annotated this paper to be comprehensible to a wide readership of cell biologists, protistologists and those interested in insect symbionts. Although this extremely original and careful work was not finished when Kirby died suddenly in 1952, I deemed it important and complete enough to finally publish it so that it would not be lost to scientific posterity.