http://de.evo-art.org/index.php?action=history&feed=atom&title=A_Rose_By_Any_Other_Name 2026-06-14T20:05:11Z Versionsgeschichte dieser Seite in de_evolutionary_art_org MediaWiki 1.27.4 http://de.evo-art.org/index.php?title=A_Rose_By_Any_Other_Name&diff=33167&oldid=prev 2016-12-27T19:51:57Z

<p>Die Seite wurde neu angelegt: „ == Reference == Gregg Helt: <a href="/index.php?title=A_Rose_By_Any_Other_Name" title="A Rose By Any Other Name">A Rose By Any Other Name</a>. In: <a href="/index.php?title=Bridges_2016" title="Bridges 2016">Bridges 2016</a>, Pages 445–448. == DOI == == Abstract == Rhodonea curves, also known as r…“</p> <p><b>Neue Seite</b></p><div><br /> <br /> == Reference ==<br /> Gregg Helt: [[A Rose By Any Other Name]]. In: [[Bridges 2016]], Pages 445–448. <br /> <br /> == DOI ==<br /> <br /> == Abstract ==<br /> Rhodonea curves, also known as rose curves, have intrigued mathematicians and artists alike since they were first<br /> described by Guido Grandi in the 18th century. In the late 20th century Maurer roses, closed polylines derived from<br /> rhodonea curves, were introduced. They are notable for the striking patterns they produce from a simple algorithm.<br /> Although Maurer roses have often been re-implemented, to date there is little published work on extending the<br /> concept since it was first described. In this paper we review previous work, then use that foundation to explore a<br /> number of extensions and generalizations of Maurer roses that we use to generate aesthetically pleasing forms.<br /> <br /> == Extended Abstract ==<br /> <br /> == Bibtex == <br /> @inproceedings{bridges2016:445,<br /> author = {Gregg Helt},<br /> title = {A Rose By Any Other Name...},<br /> pages = {445--448},<br /> booktitle = {Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture},<br /> year = {2016},<br /> editor = {Eve Torrence, Bruce Torrence, Carlo S\&#039;equin, Douglas McKenna, Krist\&#039;of Fenyvesi and Reza Sarhangi},<br /> isbn = {978-1-938664-19-9},<br /> issn = {1099-6702},<br /> publisher = {Tessellations Publishing},<br /> address = {Phoenix, Arizona},<br /> url = {http://de.evo-art.org/index.php?title=A_Rose_By_Any_Other_Name },<br /> note = {Available online at \url{http://archive.bridgesmathart.org/2016/bridges2016-445.html}}<br /> }<br /> <br /> == Used References ==<br /> [1] G. Grandi, “Florum Geometricorum Manipulus Regiae Societati Exhibitus”, Philosophical<br /> Transactions Vol. 32, pp. 355–371, 1722.<br /> <br /> [2] P. M. Maurer, “A Rose Is a Rose…”, The American Mathematical Monthly, Vol. 94, no. 7, pp. 631-<br /> 645, 1987.<br /> <br /> [3] T. H. Fay, “A study in step size,” Mathematics Magazine, vol. 70, no. 2, p. 116, 1997.<br /> <br /> [4] J. Gielis, “A generic geometric transformation that unifies a wide range of natural and abstract<br /> shapes,” Am. J. Bot., vol. 90, no. 3, pp. 333–338, 2003.<br /> <br /> [5] F. A. Farris, Creating Symmetry: The Artful Mathematics of Wallpaper Patterns. Princeton<br /> University Press, 2015.<br /> <br /> [6] D. Y. Savio and E. R. Suryanarayan, “Chebychev Polynomials and Regular Polygons,” The American<br /> Mathematical Monthly, vol. 100, no. 7, pp. 657–661, 1993.<br /> <br /> [7] J. Sharp, “Rigge Envelopes as Art Inspiration,” in Proceedings of Bridges 2011: Mathematics, Music,<br /> Art, Architecture, Culture, Phoenix, Arizona, pp. 171–178, 2011<br /> <br /> [8] C. H. Séquin, K. Lee, and J. Yen, “Fair, G2- and C2-continuous circle splines for the interpolation of<br /> sparse data points,” Computer-Aided Design, vol. 37, no. 2, pp. 201–211, 2005.<br /> <br /> [9] A. Maschke, JWildfire software, 2011. Current release v2.60 (October 2015), http://jwildfire.org<br /> <br /> <br /> == Links ==<br /> === Full Text === <br /> http://archive.bridgesmathart.org/2016/bridges2016-445.pdf<br /> <br /> [[intern file]]<br /> <br /> === Sonstige Links ===<br /> http://archive.bridgesmathart.org/2016/bridges2016-445.html</div>

Gubachelier