Hyperbolic Spirals and Spiral Patterns: Unterschied zwischen den Versionen
(Die Seite wurde neu angelegt: „ == Reference == Douglas Dunham: Hyperbolic Spirals and Spiral Patterns. In: Bridges 2003. Pages 521–528 == DOI == == Abstract == Starting many ce…“) |
(kein Unterschied)
|
Aktuelle Version vom 31. Januar 2015, 22:14 Uhr
Inhaltsverzeichnis
Reference
Douglas Dunham: Hyperbolic Spirals and Spiral Patterns. In: Bridges 2003. Pages 521–528
DOI
Abstract
Starting many centuries ago, artists in a number of cultures have created spiral patterns on flat surfaces. and even on spheres. Mathematicians have given precise definitions of spirals in the Euclidean plane and have studied them for centuries. Yet no one seems to have studied spirals in the hyperbolic plane, and until recently, no one had created hyperbolic spiral patterns. In this paper, we investigate both areas.
Extended Abstract
Bibtex
Used References
[Coxeterl] H. S. M. Coxeter, Introduction to Geometry 2nd Ed., John Wiley & Sons, New York, 1969.
[Dunham4] D. Dunham, Hyperbolic Celtic Knot Patterns Bridges 2000 Conference Proceedings, pp. 13-22, 2000.
[Dunham5] D. Dunham, Hyperbolic Islamic Patterns - A Beginning Bridges 2001 Conference Proceedings, pp. 247-254, 2001.
[Gailiunasl]P. Gailiunas, Spiral Tilings Bridges 2000 Conference Proceedings, pp. 133-140,2000.
[Krawczykl] R. Krawczyk, Curving Spirolaterals Bridges 2001 Conference Proceedings, pp. 29-36, 2001.
[Krawczyk2] R. Krawczyk, Sculptural Interpretation of a Mathematical Form Bridges 2002 Conference Proceedings,· pp. 1-8, 2002.
[Swimmerl] A. Swimmer, The Subtle Symmetry of Golden Spirals Bridges 2000 Conference Proceedings, pp. 113-118,2000.
Links
Full Text
http://archive.bridgesmathart.org/2003/bridges2003-521.pdf
