The ceque system of Cuzco was composed of at least 328 shrines (huacas) organized along 42 hypothetical lines (ceques) that radiated out of the city of Cuzco, the capital of the Inca. Ethnohistoric research indicates that the system was conceptually linked to, and essentially reproduced, the fundamental social, political, spatial, and temporal divisions of the Cuzco region and Inca society. As such the ceque system is one of the most complex, indigenous Prehispanic ritual systems known in the Americas. This article summarizes the basic organizational features of the ceque system according to ethnohistorians and reviews the current literature. Archaeological data document the likely positions of 85 shrines and the probable courses of nine ceques in Collasuyu, the southeast quarter of the Cuzco Valley. The courses of the nine Collasuyu ceques are then compared with predicted courses set forth in current models of the system. The findings suggest that numerous internal inconsistencies, if not errors, exist in the seventeenth-century documentary source that describes the ceque system and that the courses of the ceques may have varied far more than is suggested in the literature.