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Article

Multilayered Complexity Analysis in Architectural Design: Two Measurement Methods Evaluating Self-Similarity and Complexity

1
E259-01 Research Unit of Digital Architecture and Planning, Institute of Architectural Sciences, Faculty of Architecture and Planning, TU Wien (Vienna University of Technology), Karlsplatz 13, 1040 Vienna, Austria
2
Department of Architecture, HafenCity University Hamburg, Henning-Voscherau-Platz 1, 20457 Hamburg, Germany
*
Author to whom correspondence should be addressed.
Academic Editor: Didier Delignières
Fractal Fract. 2021, 5(4), 244; https://doi.org/10.3390/fractalfract5040244
Received: 31 October 2021 / Revised: 21 November 2021 / Accepted: 26 November 2021 / Published: 30 November 2021
This article contributes to clarifying the questions of whether and how fractal geometry, i.e., some of its main properties, are suitable to characterize architectural designs. This is done in reference to complexity-related aesthetic qualities in architecture, taking advantage of the measurability of one of them; the fractal dimension. Research in this area so far, has focused on 2-dimensional elevation plans. The authors present several methods to be used on a variety of source formats, among them a recent method to analyze pictures taken from buildings, i.e., 2.5-dimensional representations, to discuss the potential that lies within their combination. Color analysis methods will provide further information on the significance of a multilayered production and observation of results in this realm. In this publication results from the box-counting method are combined with a coordinate-based method for analyzing redundancy of proportions and their interrelations as well as the potential to include further layers of comparison are discussed. It presents a new area of box-counting implementation, a methodologically redesigned gradient analysis and its new algorithm as well as the combination of both. This research shows that in future systems it will be crucial to integrate several strategies to measure balanced aesthetic complexity in architecture. View Full-Text
Keywords: architectural analysis; fractal analysis; visual complexity; box-counting; grasshopper; web application; redundancy; proportion; form and geometry; gradient analysis architectural analysis; fractal analysis; visual complexity; box-counting; grasshopper; web application; redundancy; proportion; form and geometry; gradient analysis
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MDPI and ACS Style

Lorenz, W.E.; Kulcke, M. Multilayered Complexity Analysis in Architectural Design: Two Measurement Methods Evaluating Self-Similarity and Complexity. Fractal Fract. 2021, 5, 244. https://doi.org/10.3390/fractalfract5040244

AMA Style

Lorenz WE, Kulcke M. Multilayered Complexity Analysis in Architectural Design: Two Measurement Methods Evaluating Self-Similarity and Complexity. Fractal and Fractional. 2021; 5(4):244. https://doi.org/10.3390/fractalfract5040244

Chicago/Turabian Style

Lorenz, Wolfgang E., and Matthias Kulcke. 2021. "Multilayered Complexity Analysis in Architectural Design: Two Measurement Methods Evaluating Self-Similarity and Complexity" Fractal and Fractional 5, no. 4: 244. https://doi.org/10.3390/fractalfract5040244

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