Generating irregularly oscillating fossil seashells

  title={Generating irregularly oscillating fossil seashells},
  author={Chris Illert and Clifford A. Pickover},
  journal={IEEE Computer Graphics and Applications},
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>> 
12 Citations

The evolution of shell form in tropical terrestrial microsnails

This thesis reveals several hitherto unknown aspects of Plectostoma shell forms in terms of the developmental homology, the aperture ontogeny profile, anti-predation functionality, and evolutionary pattern in shell characters and ontogenetic morphospace evolution.

The bio-geometry of mollusc shells

  • S. Rice
  • Geography, Environmental Science
  • 1998
The shells of gastropods and cephalopods grow by production of new material, by the mantle, at the lip of the shell. I derive a model of shell form that allows us to describe the morphology of a

A Method for Quantifying, Visualising, and Analysing Gastropod Shell Form

This work adopts the idea of theoretical modelling of shell form, in which the shell form is the product of aperture ontogeny profiles in terms of aperture growth trajectory that is quantified as curvature and torsion, and of aperture form that is represented by size and shape.

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The Australian Supercomputer Graphics Exhibition and First International Conchology Conference

In response to an international competition, computer scientists and artists worldwide submitted computer-generated images of bioforms and seashells for public display at the Griffith Fine Art Gallery in nearby Murwillumbah, where they were seen by tens of thousands of people during the course of the exhibition.

Kinematics of surface growth

A general mathematical framework is developed to describe cases of fixed and moving growth surfaces and it is shown that although assuming growth is always in a direction normal to the current growth surface is generally sufficient, growth at an angle to the growth surface may represent the biological reality more fully in some respects.

Three-Dimensional Graphics

In this chapter, some of the commands presented in the last chapter on two-dimensional (2D) graphics are discussed again to give a comprehensive and detailed treatment of three-dimensional graphics.

Some ontological aspects of physics for matter and anti-matter

The article explores some of far-reaching issues from the framework of hadronic hypermechanics, not merely questions of concern for hermetic philosophy or for theoretical exercises in physics and astrophysics, but somewhat urgent matters, among these: the technological challenge of how to detect incoming celestial bodies of anti-matter.

GADGET: goal-oriented application design guidance for modular visualization environments

An overview of the GADGET guidance mechanism and system architecture is provided, with an emphasis on its knowledge base design.



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

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