Sculpture form Symmetrically Arranged Planar Components
Inhaltsverzeichnis
Reference
George W. Hart: Sculpture form Symmetrically Arranged Planar Components. In: Bridges 2003. Pages 315–322
DOI
Abstract
The extended face planes of symmetric polyhedra form a set of interconnected canvases that can be used as the basis for a wide range of sculptural forms. A special-purpose software tool is described which allows the user to select families of such planes, to draw within them, to maintain constraints concerning points lying on their intersections, to view and modify the results interactively in real time, and to output the result for production either as 3D rapid prototyping or 2D laser-cutting, etc. A range of examples demonstrate the versatility of the approach.
Extended Abstract
Bibtex
Used References
[1] V. Bulatov, "An Interactive Creation of Polyhedra Stellations with Various Symmetries," Bridges 2001: Mathematical Connections in Art, Music and Science, Reza Sarhangi (editor), 2001.
[2] H.S.M. Coxeter, P. DuVal, H.T. Flather, and J.F. Petrie, The Fifty-Nine Icosahedra, U. Toronto Pr., 1938, (Springer-Verlag reprint, 1982), (Tarquio reprint, with additional images, 1999).
[3] O.W. Hart, see list of references at http://www.georgehart.com
[4] C.H. Sequin, "Virtual Prototypiog of Scherk-Collins Saddle Rings" Leonardo 30:2, pp. 89-96, 1997.
[5] R. Webb, "Stella: Polyhedron Navigator," Symmetry Culture and Science, 11, No. 1-4, pp. 231-268,200012003.
Links
Full Text
http://archive.bridgesmathart.org/2003/bridges2003-315.pdf
