http://de.evo-art.org/index.php?action=history&feed=atom&title=Lobke%2C_and_Other_Constructions_from_Conical_Segments 2026-04-22T12:31:37Z Versionsgeschichte dieser Seite in de_evolutionary_art_org MediaWiki 1.27.4 http://de.evo-art.org/index.php?title=Lobke,_and_Other_Constructions_from_Conical_Segments&diff=3847&oldid=prev 2015-01-27T18:47:12Z

<p>Die Seite wurde neu angelegt: „ == Reference == Tom Verhoeff and Koos Verhoeff: <a href="/index.php?title=Lobke,_and_Other_Constructions_from_Conical_Segments" title="Lobke, and Other Constructions from Conical Segments">Lobke, and Other Constructions from Conical Segments</a>. In: <a href="/index.php?title=Bridges_2014" title="Bridges 2014">Bridges 2014</a>. Pages 309–316 == DOI == =…“</p> <p><b>Neue Seite</b></p><div><br /> == Reference ==<br /> Tom Verhoeff and Koos Verhoeff: [[Lobke, and Other Constructions from Conical Segments]]. In: [[Bridges 2014]]. Pages 309–316 <br /> <br /> == DOI ==<br /> <br /> == Abstract ==<br /> Lobke is a mathematical sculpture designed and constructed by Koos Verhoeff, using conical segments. We analyze<br /> its construction and describe a generalization, similar in overall structure but with a varying number of lobes. Next,<br /> we investigate a further generalization, where conical segments are connected in different ways to construct a closed<br /> strip. We extend 3D turtle geometry with a command to generate strips of connected conical segments, and present<br /> a number of interesting shapes based on congruent conical segments. Finally, we show how this relates to the skew<br /> miter joints and regular constant-torsion 3D polygons that we studied earlier.<br /> <br /> == Extended Abstract ==<br /> <br /> == Bibtex == <br /> <br /> == Used References ==<br /> [1] J. Barrallo, S. S ́anchez-Beitia, F. Gonz ́alez-Quintial. “Geometry Experiments with Richard Serra’s<br /> Sculpture”, Proceedings of Bridges 2013: Mathematics, Music, Art, Architecture, Culture, pp.287–294.<br /> <br /> [2] C.H. S ́equin, M Galemmo. ““LEGO ” Knots”. These proceedings.<br /> <br /> [3] T. Verhoeff, K. Verhoeff. “The Mathematics of Mitering and Its Artful Application”, Bridges Leeuwar-<br /> den: Mathematical Connections in Art, Music, and Science, Proceedings of the Eleventh Annual Bridges<br /> Conference, in The Netherlands, pp. 225–234, July 2008.<br /> <br /> [4] T. Verhoeff, K. Verhoeff. “Regular 3D Polygonal Circuits of Constant Torsion”, Bridges Banff: Math-<br /> ematics, Music, Art, Architecture, Culture, Proceedings of the Twelfth Annual Bridges Conference, in<br /> Canada, pp.223–230, July 2009.<br /> <br /> [5] T. Verhoeff. “3D Turtle Geometry: Artwork, Theory, Program Equivalence and Symmetry”. Int. J. of<br /> Arts and Technology, 3(2/3):288–319 (2010).<br /> <br /> [6] T. Verhoeff, K. Verhoeff. “Branching Miter Joints: Principles and Artwork”. In: George W. Hart, Reza<br /> Sarhangi (Eds.), Proceedings of Bridges 2010: Mathematics, Music, Art, Architecture, Culture. Tessel-<br /> lations Publishing, pp.27–34, July 2010.<br /> <br /> [7] B. Ernst and R. Roelofs (Eds.). Koos Verhoeff. Foundation Ars et Mathesis, 2013.<br /> <br /> <br /> == Links ==<br /> === Full Text === <br /> http://archive.bridgesmathart.org/2014/bridges2014-309.pdf<br /> <br /> [[intern file]]<br /> <br /> === Sonstige Links ===<br /> http://archive.bridgesmathart.org/2014/bridges2014-309.html</div>

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