Vitruvious [De arch. 4.3.3] wrote that he could dictate the proportional formula for constructing Doric Temples based on a modular system determined by the spaces between columns. In fact, he may never have had possessed this information since his results show he used Roman models to make his prediction for the design of Greek temples, an enormously glaring oversight to his claim.
Having taken his proportional scheme from local Roman structures, his thinking must have been that the formula applied equally to them as well as those from Greece. Nevertheless, this had not deterred others [Adams, J.P., (RA 1973:219-236); Amandry, P., (Hesperia 21 1952:242); Bell, M., (RA 45-46 1955:121); Coulton, J.J., (BSA 69 1974:61-87; BSA 70 1975:59-99; AJA 82 1978:151-160); Wurster, W.W., (AA 1973:200-211)] from exploring the Vitruvian Doric Temple proportional model and attempting to recreate a solutions to his missing formula.
In the past, Doric Temple classifications rely on descriptive and subjective identifications rather than quantification of the data sets. By ignoring all prior forms of conventional intuitive identifications put forth by a Vitruvian framework, the data is sorted according to established taxonomic models [Binford, Lewis AA 23(24) 1964: 425-444], and then establishes a Doric Temple proportional formula derived from various CLASSES of temples that make up the data file. The data was then subjected to a correlation and regression statistical test based on a formal taxonomy of specific attribute sets .
The results produced a mathematical model that is better than 99% accurate in prediction Classical-period Doric temple Width:Length proportions. Not only do the statistical results produce a mathematically reliable model for the prediction of temple measurements, but also imply that the progenitor of the formula was Pythagoras. This conclusion is reached since Doric temple proportionality crystallized around 490 B.C., and remained virtually unaltered throughout the tenure of the Doric style. Additionally, the statistical results produced a proportional formula based on irrational numbers – a mathematical phenomena first revealed within the Pythagorean brotherhood.