CumInCAD is a Cumulative Index about publications in Computer Aided Architectural Design
supported by the sibling associations ACADIA, CAADRIA, eCAADe, SIGraDi, ASCAAD and CAAD futures

id ecaade2012_087
authors Lorenz, Wolfgang E.
year 2012
title Estimating the Fractal Dimension of Architecture: Using two Measurement Methods implemented in AutoCAD by VBA
source Achten, Henri; Pavlicek, Jiri; Hulin, Jaroslav; Matejovska, Dana (eds.), Digital Physicality - Proceedings of the 30th eCAADe Conference - Volume 1 / ISBN 978-9-4912070-2-0, Czech Technical University in Prague, Faculty of Architecture (Czech Republic) 12-14 September 2012, pp. 505-513
wos WOS:000330322400052
summary The concept of describing and analyzing architecture from a fractal point of view, on which this paper is based, can be traced back to Benoît Mandelbrot (1981) and Carl Bovill (1996) to a considerable extent. In particular, this includes the distinction between scalebound (offering a limited number of characteristic elements) and scaling objects (offering many characteristic elements of scale) made by B. Mandelbrot (1981). In the fi rst place such a differentiation is based upon a visual description. This paper explores the possibility of assistance by two measurement methods, fi rst time introduced to architecture by C. Bovill (1996). While the box-counting method measures or more precisely estimates the box-counting dimension D b of objects (e.g. facades), range analysis examines the rhythm of a design. As CAD programs are familiar to architects during design processes, the author implemented both methods in AutoCAD using the scripting language VBA. First measurements indicate promising results for indicating the distinction between what B. Mandelbrot called scalebound and scaling buildings.
keywords Box-Counting Method; Range Analysis; Hurst-Exponent; Analyzing Architecture; Scalebound and Scaling objects
series eCAADe
email lorenz@iemar.tuwien.ac.at
full text file.pdf (803,209 bytes)
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100%; open Bovill, Carl (1996) Find in CUMINCAD Fractal Geometry in Architecture and Design , Birkhäuser, Boston , Mass
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100%; open Evers, Bernd (2006) Find in CUMINCAD Architekturtheorie: Von der Renaissance bis zur Gegenwart , Taschen, Köln
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100%; open Lorenz, Wolfgang E (2011) Find in CUMINCAD Fractal Geometry of Architecture – Fractal Dimension as a Connection between Fractal Geometry and Architecture , Biomimetics – Materials, Structures and Processes: Examples, Ideas and Case Studies, Springer, Berlin, pp. 179-200
100%; open Lorenz, Wolfgang E. (2009) Find in CUMINCAD Fractal Geometry of Architecture – Implementation of the Box-Counting Method in a CAD-Software , Computation: The New Realm of Architectural Design, eCAADe 27, pp. 697-704
100%; open Mandelbrot, Benoît B (1982) Find in CUMINCAD The Fractal Geometry of Nature , W. H. Freeman, New York
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100%; open Vaughan J., Ostwald M.J. (2010) Find in CUMINCAD Refining a computational fractal method of analysis: testing Bovill’s architectural data , New Frontiers: Proceedings of the 15th International Conference on Computer-Aided Architectural Design in Asia, CAADRIA, pp. 29-38

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