Nexus Network Journal, April 2017, Volume 19, Issue 1, pp 145–154

His paper titled “Ratios from the Intersections of 10 + 1 Proportionalities” was published in Nexus Network Journal, April 2017, Volume 19, Issue 1, pp 145–154. The following is its abstract excerpted from Springer website (https://link.springer.com/article/10.1007/s00004-016-0328-2)

“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.”

(Projected graph to show ratios from the intersections of 10 + 1 proportionalities)