Abstract
The mesoamerican calendar gathers astronomical commensurabilities by means of several artificial cycles, based on the sacred calendar of 260 days. The periods which are built from it, are expressions which cypher, to the highest accuracy, the motions of the Solar System. Interrelationships between mesoamerican numbers found in inscriptions, codices, and the calendar, and astronomical periods and dates, are discussed. It is observed that severa1 of these numbers are members of Pythagorean triples, and that they may express relation with binomial expansion.