6.2.1 Cities and Fractal Geometry

As shown in the previous chapters, fractal geometry is able to describe complex forms, finding out their underlying order and regularity - self-similarity, simple algorithms -, by reproducing the real world and not by an abstraction into pure mathematics - "clouds are not spheres". Therefore fractal geometry offers a good field for application on cities, moreover, even most of the "planned" cities, using the geometry of Euclid and showing simplicity of form, have been adapted to their context in more natural ways and therefore also contain some "organic" growth and irregularity[01]. Such applications can be the visualization through computer models based on fractal geometry, measuring patterns of real cities and their dynamic simulation by examining city-boundaries, networks, hierarchies, urban texture and the density of population - if cities belong to fractal geometry then elements of these systems will be found on different scales: self-similarity.

Footnotes

[01] Batty and Longley, Fractal Cities (1994), Academic Press Inc., ISBN 0-12-4555-70-5, p. 2.
On the other hand naturally grown cities often display regular parts because of man's triumph over nature - Baroque - or fast growth - turn of the 19th to the 20th century.

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This is a non commercial web application created by Wolfgang E. Lorenz and Gabriel Wurzer. It is used for education and research purposes only! The application can be used and is provided "as is" without warranty of any kind! [...]

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eCAADe 2020:
M-DAB

M-DAB - Towards re-using material resources of the city
Talk and Proceeding: eCAADe 2020 - Anthropologic – Architecture and Fabrication in the cognitive age (Berlin, Germany, 2020 | virtual conference)
presentation (video)

eCAADe 2020:
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FRACAM: A 2.5D Fractal Analysis Method for Facades; Test Environment for a Cell Phone Application to Measure Box Counting Dimension
Talk and Proceeding: eCAADe 2020 - RAnthropologic – Architecture and Fabrication in the cognitive age (Berlin, Germany, 2020 | virtual conference)
presentation (video)

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