The simultaneous development of the ideas suggested by Polaris would inevitably lead to a comparison and association of the terrestrial centre of communal activity with the polar axis, and to the conception of an earthly government in which human affairs were adjusted so as to be in seeming harmony with the movements of celestial bodies. The blending of the conclusions attained by the astronomer-priests, and the practical system adopted by the master builders, could not fail ultimately to cause the pyramid to appear as the sacred visible sign or image of the single, central power and quadruple government which extended its rule throughout heaven and earth. I venture to point out that, if carefully analyzed, the pyramid seems to be but a later development of precisely the same ideas which are expressed by the swastika. Pausing now to review preceding data we find it demonstrated that the geographical position of Tullan Cholollan and its pyramid designates it as an ancient seat of civilization where the native scheme of organization may have evolved itself, and the source whence the native traditions concerning successive destructive cataclysms and convulsions of nature may have spread. What is more, the peculiar conditions existing at Tullan Cholollan, situated in the heart of a volcanic region, would amply explain the traditional destruction and abandonment of the most ancient centre of native civilization and the spread throughout the continent of the identical scheme of government, etc., it being most natural that each band of fugitives, on finding what appeared to be a favorably situated region, should settle there and carry out the inherited plan of organization, etc., which would naturally become slightly modified under altered conditions. Fresh colonies on the pattern of the ruined metropolis and integral state would successively be founded far and wide and as examples of such I venture to designate Tulantzinco, literally the title Tullan, and possibly Teotihuacan, where the native civilization seems to have undergone its more advanced stages of evolution, and to have risen in power, developed divergent cults with separate languages (the Maya and the Nahuatl) and instituted the two religions and dual rulership which eventually led to dissension and the dissolution of the integral state at a period anterior to historical times.