At the beginning of the 20th century, in the United States of America, some treatises about the diffusion of scientific knowledge, about the notion of space and time and on the fourth dimension, were published. The authors were mathematicians only in some cases.
This paper deals with the construction of a possible architectural project in four dimensions. It is part of a research on the design theory and related analysis of the compositional process, and on the changing of paradigms in Architecture. To demonstrate the hypothesis of the real consistency of a new 4d spatiality for the Architecture, the design process has been analyzed in form of a theorem, starting from the comparison between the elements of the project and the definitions of the referred geometry, acquired from the study of the mathematical treatises on the fourth dimension.
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