By Casey J.
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Each column rearranges the same tiles in three different ways. Thus the Modulor satisfies the three canons of proportion. 10) capable of tiling a given rectangular space; the modules all have proportions based on the golden mean, ensuring repetition; and the system has sufficient versatility to enable the designer to find aesthetically interesting subdivisions. 1 Construct your own set of modules and find your own breakdowns of a 2c|>3 square. Also test the versatility of the Modulor system by tiling a 5-inch square with red and blue rectangles to within a Vi-inch tolerance.
However, there is an important difference, discussed below. 21). As a result, gaps from Series 1 can be tiled by a self-similar replica of the entire double series up to this length. However, gaps from Series 2 are not found in the double series; if elements of Series 2 are doubled, a third series is obtained which contains the gap lengths of Series 2: Series 3: • •-2 26 282 283- • • Series 2: • • V 2 Series 1: - l V26 V262-• • 6 82 63-• • Series 2 and 3 now fill gaps from Series 2 with a double scale that is self-similar to the original pair.
Thus not only could repetitions of proportions be incorporated in a design with the aid of this system but so also could modules of the same size be repeated to form the whole, often in symmetric patterns. Palladio took this system one step further by applying it to architectural interiors. Not only did he apply the Renaissance system of proportion to the dimensions of a room but he designed the sequence of rooms in geometric progressions. Although Palladio claimed that "beauty will result from the form and correspondence of the whole with respect to the several p a r t s .
A treatise on the analytical geometry of the point, line, circle, and conical sections (1885) by Casey J.