Highly pure dendritic single crystals of cadmium iodide, variously (2 to 8%) doped with lead iodide, have been grown from the vapour phase in a vacuum. The study of polytypism and related phenomena in the crystals has been carried out by X-ray diffraction. An uneven high rate of increase in the occurrence of the 12-layered rhombohedral polytype 12R has been found to exist when the amount of PbI2 in the crystals rises from 2 to 8%. Simultaneously, the relative intensity of the 12R reflections has been found to rise rapidly. Another curious feature has been an unusually high frequency of occurrence of a particular high polytype 48H in the heavily (8%) doped crystals. The percentage occurrences of streaking and arcing have been found to be low and to vary slowly with the PbI2 content of the crystals. The observed polytypism has been explained in terms of the nucleation of two different thermodynamically stable end-member polytypes, 4H and 12R, of CdI2 and PbI2, respectively.