Applied Mathematics & Information Sciences
This paper deals with fractal aesthetics and proposes a new fractal analysis method for the perceptual study of architecture. The authors believe in the universality of formulas and aim to complement the architectural description in terms of proportion. Although a well established fractal analysis method to describe the complexity of facades across different scales already exists, box-counting is imprecise because of too many inﬂuences coming along with the method itself. The authors consider the self-similarity as an important part of aesthetic quality in architecture. This is due to the fact that it describes a concept of consistency that holds everything together from the whole to the smallest detail which refers to the classical meaning of the word symmetry. Hence, a new fractal analysis method is introduced which so far has been applied to quantitative linguistics. Basically, elements of different order, called construct/constituent pairs, are counted and related in a formula. In architecture the pairing consists of likewise elements belonging to different orders, from the overview, the fundamental elements to the smaller details. As a conjecture, some preferable fractal dimensions (from the aesthetical point of view) are proposed for architectural structures
Digital Object Identifier (DOI)
E. Lorenz, Wolfgang; Andres, Jan; and Franck, Georg
"Fractal Aesthetics in Architecture,"
Applied Mathematics & Information Sciences: Vol. 11:
4, Article 4.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss4/4