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Reference
Paul Gailiunas: Twisted Domes. In: Bridges 2004. Pages 45–52
DOI
Abstract
The most usual polyhedra with large numbers of triangUlar faces are geodesic domes, having non-regular triangles chosen so that the polyhedron approximates to a sphere. If the faces are equilateral triangles more interesting forms result, particularly if there are no planes of mirror symmetry, and the polyhedron has a twisted appearance. Some techniques for producing such polyhedra are described, and illustrated with examples.
Extended Abstract
Bibtex
Used References
[1] Griinbaum B. and Shephard G.C.,Tilings and Patterns, W.H.Freeman and Company, 1987. p.72
[2]Hart G., "Sculpture based on Propellorized Polyhedra", Proceedings of MOSAIC 2000, Seattle, WA, August, 2000, pp. 61-70. Available online at http://www.georgehart.com/propello/propello.html
[3] examples can be seen at www.virology.netlBi~Virology/BVRNApicorna.htm
[4] Werbeck S. private correspondence.
[5] Goldberg M., "A class of mUlti-symmetric polyhedra", Tohoku MathematicsJoumal, (1937),43,104-108.
[6] Coxeter, H.S.M., "Virus Macromolecules and Geodesic Domes", A Spectrum of Mathematics Essays presented to H.G. Forder, ed. John Butcher (Oxford, O.V.P., 1967).
[7] Caspar D.L.D. and KIug A., "Physical Principles in the Construction of Regular Viruses",Cold Spring Harbor Symp. Quant. Bioi., 27,1-24 (1962).
[8] written by Jim McNeill, available from http://web.ukonline.co.uklpolyhedra
[9] Knoll, E., Decomposing Deltahedra, International Society of the Arts, Mathematics and Architecture (lSAMA) conference, Albany, NY, 2000.
Links
Full Text
http://archive.bridgesmathart.org/2004/bridges2004-45.pdf
