Klaipėdos universitetas

A geometrical analysis was performed using CAD (Computer Aided Design) tools on the plans of the nine Tholos Tombs of Mycenae and of the “Treasury of Atreus” in particular. Dedicated parameters were established in order to classify the main common geometrical features of the tombs. The analyses were based on a comparison between the geometrical proportions found on the plans and those of the Squaring Triads. It appears that Mycenaean architects made use of both Perfect (Pythagorean) and Quasi-Perfect combinations of integers. The Treasury of Atreus stands out by exhibiting all the major geometric proportions identifiable with those belonging to a series of Pythagorean Triads reported by Diophantus and known to the Mesopotamians. The unit of length for the Atreus Tholos Tomb coincides with the Lagash Gudea cubit of 0.496 m.

This work extends to Mesoamerica researches on archaic geometry previously performed on architectures of the “Old World”. CAD (Computer Aided Design ) tools are used to fit theoretical forms to spatial segments on archaeological plans. The analyses provide quantitative information on the forms, on the numbers involved and on the units of length used. Everywhere, numbers appear mainly to be multiples of 9, 10 and 13, rather than pertaining to Squaring Triads, although these are nonetheless attested in all regions. Three units of length are found: a “Teotihuacán unit” t ≈ 0.58 m, a “Monte Albán unit” ma ≈ 0.50 m and a “Chichen Itza unit” ci ≈ 0.66 m. Units t and ma clearly appear to be linked to the distances between the main monuments, associated with the Tzolkin calendrical numbers 13-20 at Teotihuacán and with the Haab calendrical numbers 18-20 at Monte Albán.