Nexus Network Journal

, Volume 19, Issue 1, pp 145–154 | Cite as

Ratios from the Intersections of 10 + 1 Proportionalities



An innovative mathematical analysis comparing sets of preferred ratios from authors from antiquity (Vitruvius), the Renaissance (Alberti, Serlio and Palladio), and the modern age (Fechner and Lalo) with the eleven unique and universal proportionalities sheds new light on architects’ use of certain ratios to endow their creations with commensurability and beauty. Some ratios may provide more ways of representing three magnitudes, and this might provide a clue to their enduring appearance in architectural works.


Proportion theory Ratio Proportionality Commensurability 


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Copyright information

© Kim Williams Books, Turin 2017

Authors and Affiliations

  1. 1.School of ArchitectureUniversity of Hawaii at ManoaHonoluluUSA

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