The assumption of precisely four cardinal points is not of chance; it is recognized in every language; it is rendered essential by the anatomical structure of the body; it is derived from the immutable laws of the universe. Whether we gaze at the sunset or the sunrise, or whether at night we look for guidance to the only star of the twinkling thousands that is constant to its place, the anterior and posterior planes of our bodies, our right hands and our left coincide with the parallels and meridians. Very early in his history did man take note of these four points, and recognizing in them his guides through the night and the wilderness, call them his gods. Long afterwards, when centuries of slow progress had taught him other secrets of nature--when he had discerned in the motions of the sun, the elements of matter, and the radicals of arithmetic a repetition of this number--they were to him further warrants of its sacredness. He adopted it as a regulating quantity in his institutions and his arts; he repeated it in its multiples and compounds; he imagined for it novel applications; he constantly magnified its mystic meaning; and finally, in his philosophical reveries, he called it the key to the secrets of the universe, "the source of ever-flowing nature."[68-1] In primitive geography the figure of the earth is a square plain; in the legend of the Quiché's it is "shaped as a square, divided into four parts, marked with lines, measured with cords, and suspended from the heavens by a cord to its four corners and its four sides."[68-2] The earliest divisions of territory were in conformity to this view. Thus it was with ancient Egypt, Syria, Mesopotamia, and China;[68-3] and in the new world, the states of Peru, Araucania, the Muyscas, the Quichés, and Tlascala were tetrarchies divided in accordance with, and in the first two instances named after, the cardinal points. So their chief cities--Cuzco, Quito, Tezcuco, Mexico, Cholula--were quartered by streets running north, south, east, and west. It was a necessary result of such a division that the chief officers of the government were four in number, that the inhabitants of town and country, that the whole social organization acquired a quadruplicate form. The official title of the Incas was "Lord of the four quarters of the earth," and the venerable formality in taking possession of land, both in their domain and that of the Aztecs, was to throw a stone, to shoot an arrow, or to hurl a firebrand to each of the cardinal points.[69-1] They carried out the idea in their architecture, building their palaces in squares with doors opening, their tombs with their angles pointing, their great causeways running in these directions. These architectural principles repeat themselves all over the continent; they recur in the sacred structures of Yucatan, in the ancient cemetery of Teo-tihuacan near Mexico, where the tombs are arranged along avenues corresponding exactly