Editing Golden ratio (section)

===Architecture===
{{further|Mathematics and architecture}}
The Swiss [[architect]] [[Le Corbusier]], famous for his contributions to the [[modernism|modern]] [[International Style (architecture)|international style]], centered his design philosophy on systems of harmony and proportion. Le Corbusier's faith in the mathematical order of the universe was closely bound to the golden ratio and the Fibonacci series, which he described as "rhythms apparent to the eye and clear in their relations with one another. And these rhythms are at the very root of human activities. They resound in man by an organic inevitability, the same fine inevitability which causes the tracing out of the Golden Section by children, old men, savages and the learned."<ref name=modulor /><ref name=Frings />

Le Corbusier explicitly used the golden ratio in his [[Modulor]] system for the [[scale (ratio)|scale]] of [[Proportion (architecture)|architectural proportion]]. He saw this system as a continuation of the long tradition of [[Vitruvius]], Leonardo da Vinci's "[[Vitruvian Man]]", the work of [[Leon Battista Alberti]], and others who used the proportions of the human body to improve the appearance and function of [[architecture]].

In addition to the golden ratio, Le Corbusier based the system on [[anthropometry|human measurements]], [[Fibonacci numbers]], and the double unit. He took suggestion of the golden ratio in human proportions to an extreme: he sectioned his model human body's height at the navel with the two sections in golden ratio, then subdivided those sections in golden ratio at the knees and throat; he used these golden ratio proportions in the [[Modulor]] system. Le Corbusier's 1927 [[Villa Stein]] in [[Garches]] exemplified the Modulor system's application. The villa's rectangular ground plan, elevation, and inner structure closely approximate golden rectangles.<ref name=modulor2 />

Another Swiss architect, [[Mario Botta]], bases many of his designs on geometric figures. Several private houses he designed in Switzerland are composed of squares and circles, cubes and cylinders. In a house he designed in [[Origlio]], the golden ratio is the proportion between the central section and the side sections of the house.<ref name=urwin />