Plato's Polyhedrons Inscribed in the Celestial Sphere

This paper will present a variant of the 3-D computer simulating application for the development of simultaneous astronomical and historical events investigations. The purpose was to identify the historical events by the celestial sphere instantaneous state subject to geospatial information that we can simulate. We proceed from the assumption that both the Earth’s surface with objects of material culture must itself be a historical source and a calendar of celestial events is the only true and accurate calendar for recording historical events over very long periods. We detect that the Earth's axial tilt was equal 1/3 х 70°32′ (23°30′40″) while 70°32′ is a central angle of a Plato’s polyhedron. We inscribed Plato’s polyhedrons in the celestial sphere and simulated time-dependent relative positioning of the zenith above geographical objects, fundamental planes of celestial coordinate systems and polyhedrons in imaginable situations. It was ascertained that ecliptic longitudes of zenith above some cities were equal to central angles of Plato’s polyhedrons on the winter solstice in the year 1440. We interpret results as follows: locations of some cities were chosen so that zenith above them could coincide with vertices of the Plato’s polyhedrons inscribed in a celestial sphere symmetrically about an ecliptic plane.