Abstract
Fractal geometry has found many applications in science and technology. Some time ago, it was used to study urban development. However, something that has not been addressed so far, to the best of our knowledge, is whether a drastic extension of some urban area also changes drastically the box-counting dimension of the area. In addition, it is not known if it is possible to predict any change of the urban or neighborhood character of a specific area by just comparing the box-counting dimensions of the city or the neighborhood before and after the suggested extension. This is a first attempt to answer these questions.
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Notes
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Of course there were deeper political reasons behind this uprising; nevertheless, a political analysis of this event is far beyond the scope of this paper.
References
Horáček, M.: Museum of art vs. the city as a work of art: a case of the new acropolis museum in Athens. Int. J. Archit. Res. 8(2), 47–61 (2014)
Mandelbrot, B.: How long is the coast of Britain? Statistical self-similarity and fractional dimension. Science 156(3775), 636–638 (1967)
Pappa, E., Syropoulos, A., Papadopoulos, B.K.: An application of fractal geometry in urban growth. Technika Chronika 25(2–3), 73–80 (2005). Paper in Greek
Peitgen, H.O., Jürgens, H., Saupe, D.: Chaos and Fractals: New Frontiers of Science. Springer, New York (2004)
Shen, G.: Fractal dimension and fractal growth of urbanized areas. Int. J. Geogr. Inf. Sci. 16(5), 419–437 (2002)
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Lantitsou, K., Syropoulos, A., Papadopoulos, B.K. (2018). On the Use of the Fractal Box-Counting Dimension in Urban Planning. In: Daras, N., Rassias, T. (eds) Modern Discrete Mathematics and Analysis . Springer Optimization and Its Applications, vol 131. Springer, Cham. https://doi.org/10.1007/978-3-319-74325-7_13
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DOI: https://doi.org/10.1007/978-3-319-74325-7_13
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