Evolutionary Development of Mathematically Defined Forms

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Reference

Robert J. Krawczyk: Evolutionary Development of Mathematically Defined Forms. In: Bridges 2000. Pages 125–132

DOI

Abstract

With the increase use of algorithms to develop images, as well as, three-dimensional sculptural and architectural forms, additional focus should be placed on methods to teach students how to approach such a design technique. This paper reviews one such method. Architectural students are looking for inspiration for new forms to better realize their own designs and computer methods are offering them another tool to expand their investigations. This paper outlines one method used as part of a programming course developed for architectural students. The method highlights a very sequential approach to form investigation in using a common starting geometry. This approach stresses the development of rules and evaluating their results as a method to determine the next step to investigate. Equal importance is placed on the anticipated, as well as, the unexpected.

Extended Abstract

Bibtex

Used References

[1] Ching, Francis. Architecture: Form, Space & Order. Van Nostrand Reinhold Company, 1979

[2] Krause, Jeffrey: "Agent Based Architecture". Association of Computer-Aided Design. in Architecture Conference Proceedings, 1997

[3] Krawczyk, Robert. "Hilbert's Building Blocks". Mathematics & Design Conference Proceedings, 1998

[4] Krawczyk, Robert. "Programs as Pencils: Investigating Form Generation". Association of Computer- Aided Design. in Architecture Conference Proceedings, 1997

[5] Lawrence, J. Dennis. A Catalog of Special Plane Curves. Dover Publications, 1972

[6] Maeda, John. Design by Numbers. The MIT Press, 1999

[7] Mitchell, William, Liggett, Robin, Kvan, Thomas. The Art of Computer Graphics Programming. Van Nostrand Reinhold Company, 1987

[8] Sequin, Carlo. "Art Math, and Computers: New Ways of Creating Pleasing Shapes". Bridges Mathematical Connection in Art, Music, and Science Conference Proceedings, 1998

[9] Sequin, Carlo. "Analogies from 2D to 3D, Exercises in Disciplined Creativity". Bridges Mathematical Connection in Art, Music, and Science Conference Proceedings, 1999

[10] Yessios, Chris. "A Fractal Studio". Association of Computer-Aided Design. in Architecture Conference Proceedings, 1987


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http://archive.bridgesmathart.org/2000/bridges2000-125.pdf

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http://archive.bridgesmathart.org/2000/bridges2000-125.html