Generating irregularly oscillating fossil seashells

@article{Illert1992GeneratingIO,
  title={Generating irregularly oscillating fossil seashells},
  author={Chris Illert and Clifford A. Pickover},
  journal={IEEE Computer Graphics and Applications},
  year={1992},
  volume={12},
  pages={18-22}
}
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.<<ETX>> 
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12 Citations

12 Citations

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References

SHOWING 1-8 OF 8 REFERENCES

A short recipe for seashell synthesis

  • C. Pickover
  • Art
    IEEE Computer Graphics and Applications
  • 1989
Several artistic examples of seashell-like forms produced on a graphics supercomputer are provided. The shapes were created using a simple graphics primitive and rendered using lighting and shading…

The mathematics of gnomonic seashells

Nipponites Mirabilis—A challenge to seashell theory?

It is able to demonstrate that, merely by choosing the two fundamental constants of differential geometry to be complex numbers, standard «clockspring” curves adequately describe and explain these geometries though one small improvement is possible.

Mathematics and Beauty: A Sampling of Spirals and ‘Strange’ Spirals in Science, Nature and Art

Computers with graphics can be used to produce visual representations of complicated physical and mathematical structures and phenomena. This paper presents an overview of spiral geometry in…

Chaotic Bursts in Nonlinear Dynamical Systems

Numerical evidence is presented that supports the contention that the complex trigonometric and exponential functions explode into chaos as a parameter whenever an elementary bifurcation occurs.

Fundamentals of interactive computer graphics

The foundations of interactive computer graphics are studied in detail in the second part of this monograph on computer graphics theory andUX.

PHIGS+ functional description revision

This is a set of proposed extensions to the proposed PHIGS graphics standard (dpANS X3.144-198x. DIS 9592) to cover the areas of lighting, shading and advanced primitives which have thus far not been…

Biology of the invertebrates