Twisted Domes

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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.


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Full Text

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http://archive.bridgesmathart.org/2004/bridges2004-45.html