The role of the ‘silver ratio’ in the geometry of Castel del Monte

Research reveals that the geometry of Castel del Monte can be harmoniously constructed using solely the silver ratio, eliminating slight discrepancies observed when both the golden and silver ratios are applied. This study challenges traditional assumptions about the influence of historical octagonal plans on Frederick II's design choices by focusing on the silver ratio's role in creating balanced proportions within the castle's structure. The analysis employs geometric relationships to propose an idealized plan that maintains aesthetic harmony, offering new insights into the mathematical principles underlying medieval architectural innovation.

Castellano, A., & Demelio, G. P. (2022). The role of the ‘silver ratio’ in the geometry of Castel del Monte. Journal of Mathematics and the Arts, 16(4), 309–335. https://doi.org/10.1080/17513472.2022.2124475