http://de.evo-art.org/index.php?action=history&feed=atom&title=Hyperbolic_Spirals_and_Spiral_PatternsHyperbolic Spirals and Spiral Patterns - Versionsgeschichte2026-05-09T05:56:19ZVersionsgeschichte dieser Seite in de_evolutionary_art_orgMediaWiki 1.27.4http://de.evo-art.org/index.php?title=Hyperbolic_Spirals_and_Spiral_Patterns&diff=4256&oldid=prevGbachelier: Die Seite wurde neu angelegt: „ == Reference == Douglas Dunham: Hyperbolic Spirals and Spiral Patterns. In: Bridges 2003. Pages 521–528 == DOI == == Abstract == Starting many ce…“2015-01-31T21:14:48Z<p>Die Seite wurde neu angelegt: „ == Reference == Douglas Dunham: <a href="/index.php?title=Hyperbolic_Spirals_and_Spiral_Patterns" title="Hyperbolic Spirals and Spiral Patterns">Hyperbolic Spirals and Spiral Patterns</a>. In: <a href="/index.php?title=Bridges_2003" title="Bridges 2003">Bridges 2003</a>. Pages 521–528 == DOI == == Abstract == Starting many ce…“</p>
<p><b>Neue Seite</b></p><div><br />
== Reference ==<br />
Douglas Dunham: [[Hyperbolic Spirals and Spiral Patterns]]. In: [[Bridges 2003]]. Pages 521–528 <br />
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== DOI ==<br />
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== Abstract ==<br />
Starting many centuries ago, artists in a number of cultures have created spiral patterns on flat surfaces.<br />
and even on spheres. Mathematicians have given precise definitions of spirals in the Euclidean plane and<br />
have studied them for centuries. Yet no one seems to have studied spirals in the hyperbolic plane, and<br />
until recently, no one had created hyperbolic spiral patterns. In this paper, we investigate both areas.<br />
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== Extended Abstract ==<br />
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== Bibtex == <br />
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== Used References ==<br />
[Coxeterl] H. S. M. Coxeter, Introduction to Geometry 2nd Ed., John Wiley & Sons, New York, 1969.<br />
<br />
[Dunham4] D. Dunham, Hyperbolic Celtic Knot Patterns Bridges 2000 Conference Proceedings, pp. 13-22,<br />
2000.<br />
<br />
[Dunham5] D. Dunham, Hyperbolic Islamic Patterns - A Beginning Bridges 2001 Conference Proceedings,<br />
pp. 247-254, 2001.<br />
<br />
[Gailiunasl]P. Gailiunas, Spiral Tilings Bridges 2000 Conference Proceedings, pp. 133-140,2000.<br />
<br />
[Krawczykl] R. Krawczyk, Curving Spirolaterals Bridges 2001 Conference Proceedings, pp. 29-36, 2001.<br />
<br />
[Krawczyk2] R. Krawczyk, Sculptural Interpretation of a Mathematical Form Bridges 2002 Conference<br />
Proceedings,· pp. 1-8, 2002.<br />
<br />
[Swimmerl] A. Swimmer, The Subtle Symmetry of Golden Spirals Bridges 2000 Conference Proceedings,<br />
pp. 113-118,2000.<br />
<br />
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== Links ==<br />
=== Full Text === <br />
http://archive.bridgesmathart.org/2003/bridges2003-521.pdf<br />
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[[intern file]]<br />
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=== Sonstige Links ===<br />
http://archive.bridgesmathart.org/2003/bridges2003-521.html</div>Gbachelier