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Job:02-30056 Title: RP-Interior Design Reference and Specification
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THE INTERIOR DESIGN REFERENCE + SPECIFICATION BOOK
Text
The Golden Rectangle
More complex rule-based systems exploit the relationship among a class of rectangles that
can be generated from the geometric properties of the square. The most noteworthy of these
is the golden rectangle (also known as the golden section, the golden mean, and the magic
rectangle). To construct a golden rectangle, a square must rst be subdivided into two rectan-
gles, each with
1:2 proportions. If the hypotenuse of one of the rectangles is drawn and then
rotated to follow the radius of a circle with its center at the pivot point, a golden rectangle will
result. The golden rectangle has a proportion of 1:1.618.
This rectangle is golden and magical not just because of how it is generated, but also because
of its inherent geometric properties: It is the only rectangle that comprises a square and
another similar (equally proportioned) rectangle. The logic of this characteristic means that a
golden rectangle can be endlessly subdivided, with each smaller golden rectangle begetting
its own square and smaller golden rectangle.
The golden rectangle can be a helpful proportion in interior design, best used for relating
asymmetrical subdivisions of wall surfaces and/or rooms. Whenever the golden rectangle is
applied to an overall room proportion, the component square of the rectangle should also
be present, whether as the ceiling height or as some stable subset of the larger directional
space. Guiseppe Terragni, an Italian modernist working in the 1920s and 1930s, used the
golden rectangle to organize the plans and elevations of many of his projects, most notably
the Danteum, an unbuilt monument to the poet Dante, designed in 1938.
The Golden Rectangle: Ratio of 1:1.618
Leonardo de Vinci, drawing of ideal proportions
of the human gure, 1492
The Radical Two Rectangle
Another common rectangle in proportioning systems is the radical two rectangle (also known
as the root two rectangle). Its geometric construction is similar to the golden rectangle. In
this case, however, the full hypotenuse of the generating square is drawn and rotated. The
resulting proportion is thus less attenuated than that of the golden rectangle. The ratio of the
radical two rectangle is
proportions of the plans, sections, and façades of the Bibliothèque Ste. Geneviève in Paris.
Plan of Bibliothèque Ste. Geneviève by Labrouste,
Le Corbusier’s Nautilus
Photo by Alinari, Art Resource, New York.
In the 1940s, the French architect Le
Corbusier used the generating logics of
both the golden rectangle and the radical
two rectangles to generate a complex
proportioning and dimensioning system
called the Modular. Le Corbusier used the
system to compose and dimension all of
his subsequent projects until his death in
1963.
Job:02-30056 Title: RP-Interior Design Reference and Specification
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