THE STADIUM AT OLYMPIA AND THE ATHENIAN PARTHENON: Geodetic Canon, Harmonic Series, and the Design Matrix of Classical Greece

This study presents an exact archaeometric and mathematical analysis of the classical Greek design canon through a comparative investigation of two foundational monuments: the Stadium at Olympia and the Parthenon on the Athenian Acropolis. By analyzing in situ field measurements of the stone starting thresholds (balbides) at Olympia, we demonstrate the existence of a strictly defined dromos structured as a width hekatompedon () and a canonical length of (), establishing an invariant planar grid ratio of . Correlating these dimensions with the idealized terrestrial meridian proves that the Heraclean foot () and its associated cubit () represent direct decimal submultiples of the planetary circumference ( and ). At the Parthenon, a dual numerical chain derived from the stylobate width () is revealed, operating simultaneously through a cascading reduction of Doric masonry modules ( and ) and the harmonic algorithm of the Golden Ratio (), reproducing the surveyed pediment apex height () within . A Monte Carlo stochastic simulation (, ) rigorously refutes the hypothesis of accidental dimensional alignment, confirming the presence of a unified, geodetically grounded, and mathematically closed ancient metacriterion.