Developable Sculptural Forms of Ilhan Koman

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Tevfik Akgün, Ahmet Koman and Ergun Akleman: Developable Sculptural Forms of Ilhan Koman. In: Bridges 2006. Pages 343–350



Ilhan Koman was one of the innovative sculptors of the 20th century [9, 10]. He frequently used mathematical concepts in creating his sculptures and discovered a wide variety of sculptural forms that can be of interest for the art+math community. In this paper, we focus on developable sculptural forms he invented approximately 25 years ago, during a period that covers the late 1970’s and early 1980’s.

Extended Abstract


Used References

[1] Kenneth A. Brakke, Surface Evolver,

[2] Paul Bourke, D-Forms, pbourke/surfaces/dform/

[3] C. R. Calladine, ”Theory of Shell Structures”, Cambridge University Press, Cambridge, 1983.

[4] Ron Evans, Plexons created by Paul Bourke, pbourke/geometry/plexagon/

[5] Erik D. Demaine and Joseph O’Rourke, “Open Problems from CCCG 2002,” in Proceedings of the 15th Canadian Conference on Computational Geometry (CCCG 2003), pp. 178-181, Halifax, Nova Scotia, Canada, August 11-13, 2003.

[6] Richard Fishback and Oscar Tuazon, “An Introduction to the Randome”, Bridges 2004, pp. 347-348, 2004.

[7] Paul Haeberli,

[8] Ilhan Koman Foundation For Arts & Cultures, ”Ilhan Koman - Retrospective”, Yapi-Kredi Cultural Activities, Arts and Publishing, Istanbul, Turkey, 2005.

[9] Ilhan Koman and Franoise Ribeyrolles, ”On My Approach to Making Nonfigurative Static and Kinetic Sculpture”, Leonardo, Vol.12, No 1, pp. 1-4, Pergamon Press Ltd, New York, USA, 1979.

[10] Koman Foundation web-site;

[11] Jun Mitani and Hiromasa Suzuki, “Making Papercraft Toys From Meshes Using Strip-Based Approxi- mate Unfolding. ACM Trans. Graph. 23(3). pp. 259-263, 2004.

[12] Frank Gehry,

[13] Helmut Pottmann and Johannes Wallner, “Computational Line Geometry”, Springer-Verlag, 4, p. 418, 2001.


[15] design.shtml

[16] John Sharp, D-Forms and Developable Surfaces, Bridges 2005, pp. 121-128, 2005.

[17] John Sharp, D-Forms: Surprising new 3D forms from flat curved shapes,Tarquin 2005.

[18] John Sharp, Presentation of ”D-Forms and Developable Surfaces”, in Bridges 2005, Banff, Canada, 2005.

[19] Meng Sun and Eugene Fiume, A technique for constructing developable surfaces, Proceedings of the conference on Graphics interface ’96, Toronto, Ontario, Canada, pp. 176 - 185, 1996.

[20] Eric W. Weisstein. ”Developable Surface.” From MathWorld–A Wolfram Web Resource.

[21] ”Eric W. Weisstein”, ”Gauss-Bonnet Formula”, 2005, From MathWorld–A Wolfram Web Resource.


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