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Issue No.03 - May/June (1992 vol.12)
pp: 18-22
ABSTRACT
<p>The generation and representation of unusual growth patterns characteristic of certain extinct mollusks are discussed. The mathematical methods for biological pattern generation to render seashells on the computer and the software tools and hardware for the visualization of mathematical models of nature are described.</p>
CITATION
Chris Illert, Clifford A. Pickover, "Generating Irregularly Oscillating Fossil Seashells", IEEE Computer Graphics and Applications, vol.12, no. 3, pp. 18-22, May/June 1992, doi:10.1109/38.135910
REFERENCES
1. C. Fenton and M. Fenton,The Fossil Book, Doubleday, New York, 1980.
2. R. Devaney, "Chaotic Bursts in Nonlinear Dynamical Systems,"Science, Vol. 235, 1986, pp. 342-345.
3. C. Hickman,Biology of the Invertebrates, Mosby, Saint Louis, 1967.
4. C. Pickover, "Mathematics and Beauty XI: A Sampling of Spirals and "Strange" Spirals in Nature, Science, and Art,"Leonardo, May 1988, Vol. 21, No. 2, pp. 173-181.
5. C. Pickover, "A Short Recipe for Seashell Synthesis,"IEEE CG&A, Nov. 1989, Vol. 9, No. 6, pp. 8-11.
6. C. Illert, "Mathematics of Gonomonic Seashells,"Math. Bioscience, Vol. 63, No. 1, 1983, pp. 21-56.
7. C. Illert, "Part 1: Seashell Geometry,"Nuovo Cimento, Vol. 9D, No. 7, 1987, pp. 792-813; "Part 2: Tubular 3D Seashell Surfaces,"Nuovo Cimento, Vol. 11D, No. 5, 1989, pp. 761-780.
8. T. Okamoto, "Theoretical Morphology ofNipponites,"J. Paleontology Society of Japan, Vol. 36, 1984, pp. 37-51 (in Japanese).
9. C. Illert, "Nipponites mirabilis:A Challenge to Seashell Theory?,"Nuovo Cimento, Vol. 12D, No. 10, Oct. 1990, pp. 1,405-1,421.
10. "PHIGS+ Function Description Revision 3.0,"Computer Graphics(Proc. SIGGRAPH), Vol. 22, No. 3, July 1988, pp. 125-218.
11. J.D. Foley and A. Van Dam,Fundamentals of Interactive Computer Graphics(The System Programming Series). Reading, MA: Addison-Wesley, 1982.
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