The ancient Greeks possessed a deep understanding of geometry, reflected in their quest for proportion and harmony across various art forms, including Greek Vase design. This study explores the geometric ratios of Greek Vases, uncovering the influence of ancient Greek mathematical principles on aesthetic standards. We have analyzed and quantified the Greek Vases ’ parameters based on Caskey’s extensive measurements [4], along with additional charts and graphs. This analysis helps group Greek Vases based on their geometric ratios clarifies the relationship between these geometric ratios and vase types, and explores the link between geometric ratios and vase function. Our findings indicate that Greek Vases can be categorized according to geometric ratios, with most Greek Vases of a particular type following these proportional standards. In addition, certain types of vases have specific ratios, and through machine learning, it was found that different types of vases in the same cluster have similar uses, and some also have similar shapes.