Growth Forms
Inhaltsverzeichnis
Reference
George Hart: Growth Forms. In: Bridges 2009. Pages 207–214
DOI
Abstract
This paper presents work-in-progress on techniques for procedurally “growing” organic-looking forms. The goal is to design and implement techniques for expressing simple algorithmic operations that can be combined in various ways to produce forms that develop from an amorphous blob to a structured cellular assemblage. Growth “buds” in a cellular assemblage each execute short programs that determine local parameters of growth, e.g., directionality, branching, cell size, cell shape, and color. These are executed in a software simulator package that generates both graphical (2D) and geometric (3D) output. Every step along the way determines a triangulated manifold boundary that can be fabricated by solid freeform fabrication equipment. I plan to incorporate these techniques into future sculpture that combines mathematical ideas with organic sensibilities.
Extended Abstract
Bibtex
Used References
[1] Kurt Fleischer et al., “Cellular Texture Generation,” SIGGRAPH 1995.
[2] Ernst Haeckel, Artforms in Nature, Verlag des Bibliographischen Instituts, 1904.
[3] G. Hart, "An Algorithm for Constructing 3D Struts," Journal of Computer Science and Technology, 24:1, 2009, pp. 56-64.
[4] G. Hart, videos at http://www.georgehart.com/Growth/growth.html
[5] Tomihisa Kamada and Satoru Kawai, “An Algorithm for Drawing General Undirected Graphs,” Information Processing Letters, 31:7-15, 1989.
[6] Przemyslaw Prusinkiewicz and Aristid Lindenmayer, The Algorithmic Beauty of Plants, Springer, 1991.
[7] D’Arcy Wentworth Thompson, On Growth and Form, Cambridge, 1952.
Links
Full Text
http://archive.bridgesmathart.org/2009/bridges2009-207.pdf
