The subject of ancient reckoning of time and space can only be inferred from the logic of numbers, with very few exceptions of data in the historical record. Many historically significant numbers exist in the historical record of different ancient cultures. But, the method for computing those numerical results remains a theme of speculation. Many of the ancient Babylonian clay tablets that exist reflect specific mathematical and geometrical problems, much like a school textbook of today. However, notebooks of the scientists who computed the astronomical meandering of the bodies in our solar system have yet to be found.

Our analyses of the historically significant numbers coming out of the ancient reckoning systems are based on speculation about the logic of numbers; how the numbers might relate to one another through elementary mathematical methods. Numbers that appear in the ancient maya system are compared to the numbers that appear in the ancient kemi system. Such a comparison allows us to visualize the significance of intermediary numbers. The ancient day-counts of 260, 360, 364, and 365 days are taken into consideration in this light, along with other day-counts relating, for example, to the cycles of other planetary bodies in our solar system. In this manner, one is almost able to distinguish the possibility that the 365c day-count came about before the 260c day-count. Scholars believe the 260c day-count to be the older calendrical system, but the math of the numbers suggests otherwise.

In this manner, strange appearing numbers in the historical record, such as 756, 819, 151840, 1366560, among many others, suddenly reveal unsuspecting interrelationships. For example, the k'awil count, identified as the 819c day-count, appears to mediate computations between the 360c and the 364c day-counts. Further, one begins to distinguish the possible use of the mediatio/duplatio method of computation, whereby the ancients may have not only doubled numbers, but also trebled them. In this manner, one arrives at a table of squares and cubes of the whole numbers. Numbers that at first glance appear to be unrelated are thus revealed to lie on the same number series representing a multiple of one another. The maya long count is a more obvious case in representing a doubling of its terms (36, 72, 144, 288, 576, 1152 and 2304).

In The Aztec Calendar: a 374.4 Circle, we examine the possibility of once again dividing the circular design of the Aztec Calendar in a distinct number of degrees from the 360c that are generally associated with a circle today. The 374.4 segments (degrees) reflect the double of the maya long count number/fractal (1872000). With this we should comprehend that the symbolic elements numbered on the rings of the Aztec Calendar may, in fact, serve to effect distinct kinds of mathematical computations. Any of the ancient day-counts and year-counts could have been represented on the spatial divisions of the Aztec Calendar, as we have discussed throughout the Earth/matriX essays and extracts.

In this book, we also discuss the possible significance for what was referred to in the past as "centering the calendar", and for that we refer to the 13-acatl glyph and its positioning on the calendar. We also discuss the possible relationship to the 9 baktun and the apparent 7:8 ratio design of the spatial division of the calendar. All of these distinct aspects assist us in viewing the four movements of the Aztec Calendar along with the ancient legend of the four suns. The past four worlds or suns have given way to a fifth world or sun, which is the one that we are living in now. An attempt is thus made to relate the visual design of the Aztec Calendar to the imagery of the ancient folklore and legend.