Abstract
Many technical and scientific objects are far too complex to be properly understood through pictures. 3D representations that can be touched and physically manipulated by the observer convey information not obtainable from 2D projections. Thanks to some emerging affordable rapid prototyping (RP) technologies, such models are beginning to find a role in design, science, and manufacturing. RP is already firmly established in the automotive industry and among designers of consumer products, including household appliances, toys, and electronics. With this personal case study from the arts and mathematics, I hope to encourage designers from other application domains to use RP technologies as a truly 3D physical visualization tool.
- Collins, B., Reinmuth, S., Schwalbe, D., Séquin, C., and Wagon, S. Whirled White Web: Art and math in snow. In Proceedings of the International Society of the Arts, Mathematics, and Architecture Sixth Annual Bridges Conference (Granada, Spain, July 23--26, 2003), 383--392; www.mathartfun.com.Google Scholar
- Collins, B. Finding an integral equation of design and mathematics. In Proceedings of the Bridges 1998 Conference (Winfield, KS, July 27--30). Gilliland Printing, Arkansas City, KS, 1998, 21--28.Google Scholar
- Ferguson, C. Helaman Ferguson: Mathematics in Stone and Bonze. Meridian Creative Group, Erie, PA, 1994.Google Scholar
- Francis, G. and Collins, B. On knot-spanning surfaces: An illustrated essay on topological art. In a special section on visual mathematics, M. Emmer, Ed. Leonardo 25, 3 (1992), 313--320.Google Scholar
- Max, N. Turning a Sphere Inside Out. International Film Bureau, Chicago, 1977. Video (21 minutes) reissued by A.K. Peters, Ltd., Wellesley, MA, 2004; www.akpeters.com/sphere.Google Scholar
- Reinmuth, S. Bronze casting of geometrical sculptures. In Proceedings of the Millennial Open Symposium on the Arts and Interdisciplinary Computing (MOSAIC 2000), University of Washington, Seattle, Aug. 22). University of Washington, 2000, 209--214.Google Scholar
- Séquin, C. Turning mathematical models into sculptures. In Proceedings of the Millennial Open Symposium on the Arts and Interdisciplinary Computing (MOSAIC 2000) (University of Washington, Seattle, Aug. 22). University of Washington, 2000, 71--82.Google Scholar
- Séquin, C. Virtual prototyping of Scherk-Collins saddle rings. Leonardo 30, 2 (1997), 89--96.Google ScholarCross Ref
- Séquin, C. and Strauss, P. UniGrafix. In Proceedings of the 20th Design Automation Conference (Miami Beach, FL, June 27--29). IEEE Computer Society Press, Los Alamitos, CA, 1983, 374--381. Google ScholarDigital Library
- SLIDE (Scene Language for Interactive Dynamic Environments). University of California, Berkeley; www.cs.berkeley.edu/~ug/slide/docs/slide/spec/.Google Scholar
- Smullin, F. Analytic Constructivism: Computer-Aided Design and Construction of Tubular Sculptures. Luncheon keynote at the 18th Design Automation Conference (Nashville, TN, June 30, 1981).Google Scholar
Index Terms
- Rapid prototyping: a 3d visualization tool takes on sculpture and mathematical forms
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