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346 III Using It to Design<br />

The rules are applied in this four-term series<br />

for the Villa Foscari. Of course, additional room layouts are readily defined as well. And<br />

it would be nice to know how many.<br />

Among the twenty surviving villas and twenty-odd projects known from drawings and the Quattro<br />

Libri, there are few instances of a repeated plan, motive or composition in mass; Palladio would<br />

produce at most two or three versions of a particular scheme before reaching out in an entirely<br />

new direction. The common core within this variety is a particular conception of architectural<br />

harmony and composition.<br />

Questions of proportion aside, this depends on the number of rectangles in the original<br />

grid of walls. For a three-by-three grid<br />

there are twenty distinct possibilities

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