From Two Dimensions to Four---and Back Again
Inhaltsverzeichnis
Reference
Susan McBurney: From Two Dimensions to Four---and Back Again. In: Bridges 2012. Pages 409–412
DOI
Abstract
Mathematical concepts of n-dimensional space can produce not only intriguing geometries, but also attractive ornamentation. This paper will trace the evolution of a 2-D figure to four dimensions and briefly illustrate two tools for going back again to 2D. When coupled with modern dynamic software packages, these concepts can lead to a whole new world of design possibilities.
Extended Abstract
Bibtex
Used References
[1] Claude Bragdon, Projective Ornament, The Manas Press, 1915 Reprint by Kessinger Publishing
[2] en.wikipedia.org/wiki/Convex_regular_4-polytope
[3] Weisstein, Eric W. "Prism." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/Prism.html
[4] H.S.M. Coxeter, Regular Polytopes, 1963 (Dover, 1973)
[5] Susan McBurney, The Projective Ornament of Claude Bragdon, Joint Mathematics Meeting, Boston, MA, January 2012
Links
Full Text
http://archive.bridgesmathart.org/2012/bridges2012-409.pdf
