Skip to main content
Have a personal or library account? Click to login
Urban Compression Patterns: Fractals and Non-Euclidean Geometries - Inventory and Prospect Cover

Urban Compression Patterns: Fractals and Non-Euclidean Geometries - Inventory and Prospect

Quaestiones Geographicae
Volume 31 (2012): Issue 2 (June 2012)
By:  and    
Open Access
|Jun 2012
References

References

  1. Arlinghaus S., 1985. Fractals take a central place., 67B: 83-88.
    Open DOISearch in Google Scholar
  2. Arlinghaus S., 2010. Fractals take a non-Euclidean place., XXI, 1. Institute of Mathematical Geography, Ann Arbor, http://www.imagenet.org/.
    Search in Google Scholar
  3. Arlinghaus S. & Arlinghaus W., 1989. The fractal theory of central place hierarchies: A Diophantine analysis of fractal generators for arbitrary Löschian numbers., 21(2): 103-121.
    Open DOISearch in Google Scholar
  4. Arlinghaus S., Arlinghaus W. & Harary F., 1993. Sum graphs and geographic information., IV, 1. Institute of Mathematical Geography, Ann Arbor, http://www-personal.umich.edu/~copyrght/image/solstice/sols193.html.
    Search in Google Scholar
  5. Arlinghaus S. & Batty M., 2006. Zipf's hyperboloid?, XVII, 1. Institute of Mathematical Geography, Ann Arbor, http://www.imagenet.org/.
    Search in Google Scholar
  6. Arlinghaus S. & Batty M., 2010. Zipf's hyperboloid revisited: Compression and navigation - canonical form., XXI, 1. Institute of Mathematical Geography, Ann Arbor, http://www.imagenet.org/.
    Search in Google Scholar
  7. Arlinghaus S. & Nystuen J., 1990. Geometry of boundary exchanges: Compression patterns for boundary dwellers., 80(1): 21-31.
    Open DOISearch in Google Scholar
  8. Arlinghaus S. & Nystuen J., 1991. Street geometry and flows., 81(2): 206-214.
    Open DOISearch in Google Scholar
  9. Batty M. homepage:
    Search in Google Scholar
  10. Batty M. & Longley P., references listing:
    Search in Google Scholar
  11. Benguigui L. & Daoud M., 1991 Is the suburban railway system a fractal?, 23: 362-368.
    Open DOISearch in Google Scholar
  12. Elert G., 1995-2007.
    Search in Google Scholar
  13. Griffith D., Vojnovic I. & Messina J., 2010. Distances in residential space: Implications from estimated metric functions for minimum path distances. Paper to be submitted to
    Search in Google Scholar
  14. Hausdorff& Besicovitch, historical reference:
    Search in Google Scholar
  15. Mandelbrot B., 1982.W.H. Freeman, New York.
    Search in Google Scholar
  16. Ord J., 1975. Estimation methods for models of spatial interaction., 70: 120-126.
    Open DOISearch in Google Scholar
  17. Rodin V. & Rodina E., 2000. The fractal dimension of Tokyo's streets., 8: 413-418.
    Open DOISearch in Google Scholar
  18. Shen G., 1997. A fractal dimension analysis of urban transportation networks., 1: 221-236.
    Search in Google Scholar
  19. Wikipedia, Fibonacci coding:
    Search in Google Scholar
DOI: https://doi.org/10.2478/v10117-012-0014-8 | Journal eISSN: 2081-6383 | Journal ISSN: 2082-2103 (formerly 0137-477X)
Journal RSS Feed
Language: English
Page range: 21 - 28
Published on: Jun 21, 2012
Published by: Adam Mickiewicz University
In partnership with: Paradigm Publishing Services
Keywords:
fractal,
non-Euclidean,
Manhattan,
urban growth,
Minkowskian
Related subjects:
Geosciences,
Geography

© 2012 Daniel Griffith, Sandra Arlinghaus, published by Adam Mickiewicz University
This work is licensed under the Creative Commons License.

Volume 31 (2012): Issue 2 (June 2012)
Previous article
Next article