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The Mathematics of Beauty > Timeline > 1927 - Villa Stein

Villa Stein AnalysisRecognized worldwide, Le Corbusier designed spacious homes in middle class neighborhoods on the outskirts of Paris, though not all came to be built. The most striking is the house “Les Terrasses”, built in Garches on land that now belongs to the commune Vaucresson. Sarah and Michael Stein were well known collectors and connoisseurs of modern painting and sculptures. Their outdoor House would be the center of contemporary art in Paris, informal galleries were friends could come to look at the pictures and listen to the Steins talk about art. The couple always lived in the centre of Paris but wanted to move to the suburbs of Paris, by which they could enjoy the nice landscape but could easy go to Paris for their work and art business. Because Le Corbusier was well known for his concepts and his name was rising as an architect, he also had very close connections with the affl uent Parisian classes. The Steins commissioned Le Corbusier in 1926 to design their house.

The following is an analysis of the application of the Golden Ratio in Le Corbusier's design of Villa Stein in Garches:

  1. The first figure shows the start of the predefined outline of the building. The area proportions are determined by the Golden Section. The axis of the square and its inner line form important traces for the individual plan. The strongly broken diagonal links the corner points of the Golden Section rectangle.
  2. In the second figure there can be seen that the initial square is reflected over the vertical axis, thus producing symmetrical zones within the overall area with the aid of its own axis and inner line. The central area where the squares overlap represents the crucial field for the position of the support structure.
  3. In the third figure it can be seen that the initial square now forms two secondary axes. Each of them represents the middle of one of the entrance zones. The overlapping lines of the squares are reflected across these axes, thus establishing the narrow zones of the access area and of the columns.
  4. In the fourth figure it can be seen how the columns are placed. The zones ensuing from the geometrical principle can be divided into regular strip A-B-A-B-A. The columns are arranged within the narrow B strips, in a way that the outer lines of each of them lies on the trace. The walls are added on the outside along the short sides an it becomes clear that Le Corbusier defines these outer space tracks as dynamic zones, distinctly articulated in the architecture. Such as the window strip that runs around the corner and the pier elements in the interior.
  5. If there is a closer look at the plan of the ground floor there can be seen that the same square that defined the entrance zones in the outer area can be brought in here to determine the outline of the extended exterior terrace on the back. If the outer line of the building is extended upwards, the border with the attached flight of steps can be determined geometrically. This places a staircase platform at the end and it becomes clear that the orthogonal figures on the first floor, the kitchen and the outside terrace, are unambiguously defined by the Golden Section and the square. The Golden Section and the square are preset figures within the dynamic spatial structure of the living level. Symbolically encoded within them is the contrasting pair, Irrationality and rationality, that constantly inform the work of Le Corbusier.

Full article available for download in PDF format  >  stein and jb house.indd - timmaier.com

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