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Fractal Fract
Special Issues
From Fractal Geometry to Visual Intelligence in Architecture
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Special Issue "From Fractal Geometry to Visual Intelligence in Architecture"

A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Geometry".

Deadline for manuscript submissions: closed (31 March 2023) | Viewed by 8588

Special Issue Editors

Dr. Wolfgang E. Lorenz

E-Mail Website
Guest Editor
Institute of Architectural Sciences, Faculty of Architecture and Planning, TU Wien (Vienna University of Technology), Karlsplatz 13, 1040 Vienna, Austria
Interests: application of digital media in architecture and spatial planning with a particular focus on the examination and elaboration of the concept of applying fractal geometry to architecture; additional fields of research in architectural sciences include simulation in early-stage planning and tools that support early-stage planning of complex buildings (e.g., hospital planning)
Dr. Matthias Kulcke

E-Mail Website
Guest Editor
Department of Architecture, HafenCity University Hamburg, Henning-Voscherau-Platz 1, 20457 Hamburg, Germany
Interests: gestalt configuration, among others dealing with methods for proportion detection in given objects, as well as the development of configurational strategies and digital tools for generative processes in architecture, fine arts, and music

Special Issue Information

Dear Colleagues,

The Special Issue is aiming for contributions that deal with new methods of fractal based analysis and/or generative design suited to the field of architecture. With architecture in the center of interest, research in related fields, as well as interdisciplinary perspectives on this specific subject, is required, and architects, civil engineers, product designers, mathematicians, computer scientists, and others are invited to this Special Issue.

Since Mandelbrot's definition of fractal geometry, researchers have scrutinized possibilities of its application in the built environment across two general approaches—analysis and generation of architectural form in holistic shape and detail. Fractal methods that are implemented in analysis are box counting and its derivatives, as well as in generation, e.g., L-systems, DLA, and iteration function systems. These methods are vital for the development of (semi-)automated visual intelligence systems which aid in understanding and generating architecture, as well as in supporting complexity management within design tasks.

While seemingly simple techniques utilizing fractal driven generation procure very complex structures and processes, powerful analytic procedures aid the cognition of these underlying principles as they present themselves in highly detailed forms. In a number of fields, fractal-based procedures are recognized and routinely applied, in some cases close to standardized manner, while the professionals in architecture are still yearning for applicable algorithms that suit regular implementation.

Acceptance criteria are state of the art literature reviews, new and transparently explained methods, as well as innovative applications. The rules of the MDPI journal for submissions (including supplementary materials, data and software prototypes) according to https://www.mdpi.com/journal/fractalfract/instructions.

Dr. Wolfgang E. Lorenz
Dr. Matthias Kulcke
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Fractal and Fractional is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2700 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • visual complexity
  • fractal-like architecture
  • fractal analysis methods
  • gestalt
  • fractal-based design
  • fractal-based applications

Published Papers (3 papers)

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Article
Spherical Box-Counting: Combining 360° Panoramas with Fractal Analysis
by
Matthias Kulcke
and
Wolfgang E. Lorenz
Fractal Fract. 2023, 7(4), 327; https://doi.org/10.3390/fractalfract7040327 - 14 Apr 2023
Viewed by 966
Abstract
In this paper, a new box-counting method to achieve a highly specific topological fingerprinting of architecture in relation to the position of the observer and in the context of its surroundings is proposed. Central to this method is the use of 360-degree spherical [...] Read more.
In this paper, a new box-counting method to achieve a highly specific topological fingerprinting of architecture in relation to the position of the observer and in the context of its surroundings is proposed. Central to this method is the use of 360-degree spherical panoramas as a basis for fractal measurement. Thus, a number of problems of the comparative analysis of the fractal dimension in the field of architecture are explicitly and implicitly addressed, first and foremost being the question of choosing image boundaries while considering adjacent vegetation, urban elements, and other visually present objects for Gestalt analysis of a specific building. Second, the problem of distance and perspective as part of the aesthetic experience based on viewer and object location were taken into account and are addressed. The implications of the use of a spherical perspective as described in this research are also highly relevant for other methods of aesthetic measures in architecture, including those implementing collaborative design processes guided by digital tools and machine learning, among others. Full article
(This article belongs to the Special Issue From Fractal Geometry to Visual Intelligence in Architecture)
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Article
The Hidden Dimension of Façades: Fractal Analysis Reveals Composition Rules in Classical and Renaissance Architecture
by
Vilmos Katona
Fractal Fract. 2023, 7(3), 257; https://doi.org/10.3390/fractalfract7030257 - 11 Mar 2023
Viewed by 1123
Abstract
This study uses fractal analysis to measure the detailed intensity of well-known Classical and Renaissance façades. The study develops a method to understand their interrelated design principles more comprehensively. With this evaluation tool, one can observe intrinsic connections that support the historical continuity [...] Read more.
This study uses fractal analysis to measure the detailed intensity of well-known Classical and Renaissance façades. The study develops a method to understand their interrelated design principles more comprehensively. With this evaluation tool, one can observe intrinsic connections that support the historical continuity and point out balancing composition protocols, such as the ‘compensation rule’, that regulated design for centuries. The calculations offer mathematical constants to identify Classical and Renaissance details by plasticity rates. Finally, we base this method on spatial evaluation. Our calculations involve depth, which connects planar front views with the haptic reality of the façades’ tectonic layers. The article also discusses the cultural and urban implications of our results. Full article
(This article belongs to the Special Issue From Fractal Geometry to Visual Intelligence in Architecture)
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Article
The Mathematics of ‘Natural Beauty’ in the Architecture of Andrea Palladio and Le Corbusier: An Analysis of Colin Rowe’s Theory of Formal Complexity Using Fractal Dimensions
by
Michael J. Dawes
,
Michael J. Ostwald
and
Ju Hyun Lee
Fractal Fract. 2023, 7(2), 139; https://doi.org/10.3390/fractalfract7020139 - 02 Feb 2023
Cited by 1 | Viewed by 5897
Abstract
In a famous architectural discussion, Colin Rowe links the geometric properties of two sixteenth century villas by Andrea Palladio and two twentieth century villas by the architect Le Corbusier. Rowe observed that different structural systems produced heightened geometric complexity in cross sections through [...] Read more.
In a famous architectural discussion, Colin Rowe links the geometric properties of two sixteenth century villas by Andrea Palladio and two twentieth century villas by the architect Le Corbusier. Rowe observed that different structural systems produced heightened geometric complexity in cross sections through Palladio’s villas and in Le Corbusier’s plans. Rowe also described a particular type of geometric scaling in portions of the four villas which he partially explains as a type of mathematical ‘natural beauty’ akin to the golden ratio and Fibonacci sequence. In his writings, Rowe refers to several geometric properties that encapsulate complex, scaled structures, but he lacked a mathematical system to rigorously describe and test his ideas. The present paper utilises the box-counting method for calculating fractal dimensions to analyse 100 images, consisting of architectural plans, sections, and elevations of the four villas and two Fibonacci sequences, to test Rowe’s ideas. Ultimately, the results of this research do not support the majority of Rowe’s claims about geometric complexity in the villas of Palladio and Le Corbusier, but they do provide insights into Rowe’s discussion of geometric scaling and the properties of four famous houses. Full article
(This article belongs to the Special Issue From Fractal Geometry to Visual Intelligence in Architecture)
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