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Job:02-30056 Title: RP-Interior Design Reference and Specification
#175 Dtp:216 Page:83
Job:02-30056 Title: RP-Interior Design Reference and Specification
#175 Dtp:216 Page:82
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83
Proportions of a Room
Text
can be generated from the geometric properties of the square. The most noteworthy of these
rectangle). To construct a golden rectangle, a square must rst be subdivided into two rectan-
rotated to follow the radius of a circle with its center at the pivot point, a golden rectangle will
This rectangle is golden and magical not just because of how it is generated, but also because
another similar (equally proportioned) rectangle. The logic of this characteristic means that a
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
1:1.414. Henri Labrouste used the radical two rectangle to organize the
proportions of the plans, sections, and façades of the Bibliothèque Ste. Geneviève in Paris.
Plan of Bibliothèque Ste. Geneviève by Labrouste, 1843
Le Corbusier’s Nautilus
Le Modular by Le Corbusier
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.
Photo by Erich Lessing, Art Resource, New York.
Job:02-30056 Title: RP-Interior Design Reference and Specification
#175 Dtp:216 Page:83
Job:02-30056 Title: RP-Interior Design Reference and Specification
#175 Dtp:216 Page:82
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