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Inhaltsverzeichnis
Reference
Robert J. Krawczyk: Sculptural Interpretation of a Mathematical Form. In: Bridges 2002. Pages 1–8
DOI
Abstract
A number of sculptures have been created based on three-dimensional mathematical forms and surfaces. In most cases, the sculpture is an exact copy of the mathematics that it is based on. This paper explores another method to mathematically create sculptural forms by starting with a two-dimensional figure. The goal is to develop methods and insights on which elements in the original figure can be expressed in three-dimensions and still keep some of the mathematical properties found in the original figure. The creation of each sculptural variation is completed in custom software. The software becomes the modeling material and the sculpting tools.
Extended Abstract
Bibtex
Used References
[1] Sequin, Carlo, 1998, "Art, Math, and Computers: New Ways of Creating Pleasing Shapes", in Bridges: Mathematical Connection in Art, Music, and Science 1998, edited by Reza Sarhangi, Southwestern College
[2] Sequin, Carlo, 2000, "Turning Mathematical Model into Sculptures", in The Millennial Open Symposium on the Arts and Interdisciplinary Computing, edited by D. Salesin and C. Sequin, University of Washington
[3] Peterson, Ivars, 2001, Fragments ofInfinity, A Kaleidoscope of Math and Art, John Wiley & Sons
[4] Odds, Frank, "Spirolaterals", Mathematics Teacher, February 1973, pp.121-124
[5] Abelson, Harold, diSessa, Andera, 1968, Turtle Geometry, MIT Press, pp.37-39, 120-122
[6] Gardner, Martin, 1986, Knotted Doughnuts and Other Mathematical Entertainments, W. H. Freemand and Company, pp. 205-208
[7] Krawczyk, Robert, 1999, "Spirolaterals, Complexity from Simplicity", in International Society of Arts, Mathematics and Architecture 1999,edited by N. Friedman and J. Barrallo, The University of the Basque Country, pp. 293-299
[8] Krawczyk, Robert, 2000, "The Art of Spirolaterals", in The Millennial Open Symposium on the Arts and Interdisciplinary Computing, edited by D. Salesin and C. Sequin, University of Washington, pp. 127- 136
[9] Krawczyk, Robert, 2000, "The Art of Spirolateral Reversal", in International Society of Arts, Mathematics and Architecture 2000, edited by N. Friedman, University of Albany-SUNY
Links
Full Text
http://archive.bridgesmathart.org/2002/bridges2002-1.pdf
