Astrophysics and Space Science

, Volume 192, Issue 1, pp 103–111 | Cite as

The projection of fractal objects

  • Martin Beech


Motivated by several recent studies on the geometry of molecular cloud structures, we perform two experiments that consider the projection of fractal images onto a two-dimensional screen. Evidence is presented to support the proposition that the dimensionDP of the contours surrounding the projected images are given byDs−1, whereDs>2 is the fractal dimension of the object itself. A brief survey of the geometry of astrophysical cloud structures is also presented.


Fractal Dimension Projected Image Molecular Cloud Fractal Image Fractal Object 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Bazell, D. and Desert, F.-X.: 1988,Astrophys. J. 333, 353.Google Scholar
  2. Beech, M.: 1987,Astrophys. Space Sci. 133, 193.Google Scholar
  3. Beech, M.: 1989,Bull. Inst. Math. Appl. 25, 2.Google Scholar
  4. Bachler, S. and Perdang, J.: 1990,Vistas Astron. 33, 393.Google Scholar
  5. Canuto, V. M., Cabot, W., Hartke, G. J., and Battaglia, A.: 1985,Astrophys. Space Sci. 116, 367.Google Scholar
  6. Falconer, K.: 1990,Fractal Geometry: Mathematical Foundations and Applications, John Wiley and Sons, London.Google Scholar
  7. Gomes, M. A. F.: 1987a,J. Phys. A20, L283.Google Scholar
  8. Gomes, M. A. F.: 1987b,Am. J. Phys. 55, 649.Google Scholar
  9. Henderson-Sellars, A.: 1986,Quart. J. Roy. Astron. Soc. 27, 90.Google Scholar
  10. Hentschel, H. G. E. and Procaccia, I.: 1984,Phys. Rev. A29, 1461.Google Scholar
  11. Ko, R. H. and Bean, C. P.: 1991,Phys. Teacher 29, 78.Google Scholar
  12. Lovejoy, S.: 1982,Science 216, 185.Google Scholar
  13. Lynds, B. T.: 1962,Astrophys. J. Suppl 7, 1.Google Scholar
  14. Mandelbrot, B. B.: 1983,The Fractal Geometry of Nature, Freeman, New York.Google Scholar
  15. Perdang, J.: 1990,Vistas Astron. 33, 249.Google Scholar
  16. Scalo, J.: 1990, in R. Capuzzo-Doketta, C. Chiosi, and Di Fazio (eds.),Physical Processes in Fragmentation and Star Formation, Kluwer Academic Publishers, Dordrecht, Holland.Google Scholar

Copyright information

© Kluwer Academic Publishers 1992

Authors and Affiliations

  • Martin Beech
    • 1
  1. 1.Department of AstronomyUniversity of Western OntarioLondonCanada

Personalised recommendations