Skip to main content
Log in

Cleopatra's necklace and the aesthetics of osculatory growth

  • Short Communication
  • Published:
The Visual Computer Aims and scope Submit manuscript

Abstract

This paper provides an introduction to simple techniques for visualizing a large class of intricate shapes generated by osculatory packing of cylinders and spheres.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Boyd D (1973) The residual set dimensions of the Apollonian packing. Mathematika 20:170–174

    Google Scholar 

  2. Family F, Meakin P (1988) Scaling of the droplet-size distribution in vapor-deposited thin films. Phys Rev Lett 61(4):428–431

    Google Scholar 

  3. Gardner M (1968) Packing of circles and spheres. Sci Am 218:130–125

    Google Scholar 

  4. Klausch-Blecken H,Schmeling V, Tschoegl N (1970) Osculatory packing of finite areas with circles. Nature 225:1119–1121

    Google Scholar 

  5. Mandelbrot B (1983) The fractal geometry of nature. Freeman, New York

    Google Scholar 

  6. Meakin P, Pickover C, Family F (1993) Visualizing droplet coalescence phenomena. In: Pickover C, Tewksbury S(eds) Frontiers of Computing Systems Research: Scientific Visualization. Plenum, New York

    Google Scholar 

  7. Pickover C (1989) Circles which kiss: a note on osculatory packing. Computers and Graphics 13(1):63–67

    Google Scholar 

  8. Pickover C (1990) Computers, Pattern, Chaos and Beauty. St. Martin's Press, New York

    Google Scholar 

  9. Pickover C (1992) Mazes for the Mind. St. Martin's Press, New York

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pickover, C.A. Cleopatra's necklace and the aesthetics of osculatory growth. The Visual Computer 9, 166–169 (1992). https://doi.org/10.1007/BF01902555

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01902555

Key words

Navigation