id 
ecaade2013_013 
authors 
Lorenz, Wolfgang E. 
year 
2013 
title 
Combining Complexity and Harmony by the BoxCounting Method 
source 
Stouffs, Rudi and Sariyildiz, Sevil (eds.), Computation and Performance – Proceedings of the 31st eCAADe Conference – Volume 2, Faculty of Architecture, Delft University of Technology, Delft, The Netherlands, 1820 September 2013, pp. 667676 
wos 
WOS:000340643600069 
summary 
When Benoît Mandelbrot raised the question about the length of Britain’s coastline in 1967, this was a major step towards formulating the theory of fractals, which also led to a new understanding of irregularity in nature. Since then it has become obvious that fractal geometry is more appropriate for describing complex forms than traditional Euclidean geometry (not only with regard to natural systems but also in architecture). This paper provides another view on architectural composition, following the utilization of fractal analysis. The procedure concerning the exploration of a façade design is demonstrated step by step on the Roman temple front of the Pantheon by Appolodorus and its reinterpretation – in the particular case the entrance front of Il Redentore, a Renaissance church by Palladio. Their level of complexity and range of scales that offer coherence are visualized by the specific measurement method of boxcounting. 
keywords 
Fractal analysis; boxcounting method; Pantheon; Il Redentore; Palladio. 
series 
eCAADe 
email 
lorenz@iemar.tuwien.ac.at 
full text 
file.pdf (361,437 bytes) 
references 
Contenttype: text/plain
details 
citation 
check to select 

Bovill, C (1996)
Fractal Geometry in Architecture and Design
, Birkhäuser, Boston



Foroutanpour, K, Dutilleul, P and Smith, DL (1999)
Advances in the implementation of the boxcounting method of fractal dimension estimation
, Applied Mathematics and Computation, Volume 105, Issue 23, pp 195210



Lorenz, WE (2003)
Fractals and Fractal Architecture
, Master Thesis, Department of Computer Aided Planning and Architecture, Vienna University of Technology, Vienna



Lorenz, WE (2009)
Fractal Geometry of Architecture – Implementation of the BoxCounting Method in a CADSoftware
, Proceedings of the eCAADe Conference, Istanbul, Turkey, pp. 697704



Lorenz, WE (2011)
Fractal Geometry of Architecture: Fractal Dimension as a Connection Between Fractal Geometry and Architecture
, P Gruber, D Bruckner, C Hellmich, HB Schmiedmayer, H Stachelberger and IC Gebeshuber (eds), Biomimetics – Materials, Structures and Processes: Examples, Ideas and Case Studies, Springer, Berlin, pp. 179200



Lorenz, WE (2012)
Fractal Geometry of Architecture: Implementation of the BoxCounting Method in a CADsoftware
, Proceedings of the eCAADe Conference, Prague, Czech Republic, pp. 505514



Mandelbrot, BB (1981)
Scalebound or scaling shapes: A useful distinction in the visual arts and in the natural sciences
, Leonardo, Vol. 14, No. 1, pp. 4547



Mandelbrot, BB (1982)
The fractal geometry of nature
, W.H. Freeman, San Francisco



Ostwald, MJ, Vaughan, J and Tucker, C (2008)
Characteristic Visual Complexity: Fractal Dimensions in the Architecture of Frank Lloyd Wright and Le Corbusier
, Nexus VII: Architecture and Mathematics, 7, pp. 217232



Salingaros, NA (2006)
A theory of architecture
, UmbauVerlag, Solingen



Society for the Diffusion of Useful Knowledge (1840)
The Penny Cyclopædia of the Society for the Diffusion of Useful Knowledge
, Organ  Pertinax. Vol. 17, Knight, London



Vaughan, J and Ostwald, MJ (2010)
Refining a computational fractal method of analysis
, Proceedings of of the 15th International Conference on ComputerAided Architectural Design Research in Asia CAADRIA, pp 2938



Wundram, M, Palladio, A, Pape, T and Marton, P (2004)
Andrea Palladio. 15081580: architect between the Renaissance and Baroque
, Benedikt Taschen, Cologne



Zarnowiecka, JC (1998)
Chaos, databases and fractal dimension of regional architecture
, Proceedings of the eCAADe Conference, Paris, France, pp. 267270



last changed 
2016/05/16 09:08 
