A computational analysis of fractal dimensions in the architecture of Eileen Gray

This paper is the first investigation of the fractal dimensions of five of the house designs of Eileen Gray: a prominent architect working mainly in France between 1922 and and 1956. In this paper, a computational variation of the "box-counting approach" (used to determine fractal dimension) is applied to a multi-dimensional review of the houses of Gray. As a contemporary of Le Corbusier, Gray is a significant architect for such an analysis. This research is important because it expands the set of examples of early twentieth century architects who have been analyzed using the method. This paper provides a computer-assisted mathematical analysis of characteristic visual complexity in five houses designs by Eileen Gray.