http://de.evo-art.org/index.php?action=history&feed=atom&title=Blending_Polyhedra_with_Overlays 2026-05-16T18:10:43Z Versionsgeschichte dieser Seite in de_evolutionary_art_org MediaWiki 1.27.4 http://de.evo-art.org/index.php?title=Blending_Polyhedra_with_Overlays&diff=4272&oldid=prev 2015-02-01T12:59:41Z

<p>Die Seite wurde neu angelegt: „ == Reference == Douglas Zongker and George W. Hart: <a href="/index.php?title=Blending_Polyhedra_with_Overlays" title="Blending Polyhedra with Overlays">Blending Polyhedra with Overlays</a>. In: <a href="/index.php?title=Bridges_2001" title="Bridges 2001">Bridges 2001</a>. Pages 167–174 == DOI == == Abstract == We…“</p> <p><b>Neue Seite</b></p><div><br /> == Reference ==<br /> Douglas Zongker and George W. Hart: [[Blending Polyhedra with Overlays]]. In: [[Bridges 2001]]. Pages 167–174 <br /> <br /> == DOI ==<br /> <br /> == Abstract ==<br /> We introduce a novel method for constructing polyhedra by blending together two or more existing<br /> polyhedra, using a dualizationmethod. The method results in a Minkowski sum, analogous to that of<br /> overlay tHings [5], which uses a topological dual operation to create tilings from a network (a graph .<br /> embedded in a plane). This paper extends that method to networks on the surface of the unit sphere.<br /> We begin with polyhedra in canonical form, dualize them to form networks, overlay the networks, and<br /> dualize the result to obtain a new polyhedron that blends together the faces of the original polyhedra.<br /> <br /> == Extended Abstract ==<br /> <br /> == Bibtex == <br /> <br /> == Used References ==<br /> [1] George W. Hart. Calculating canonical polyhedra. Mathematica in Education and Research, 6(3):5-10, Summer<br /> 1997.<br /> <br /> [2] George W. Hart. Zonish polyhedra. In Proceedings of Mathematics and Design &#039;98, page 653, 1998.<br /> <br /> [3] George W. Hart and Henri Picciotto. Zome Geometry. Key Curriculum Press, 2001.<br /> <br /> [4] Gunter M. Ziegler. Lectures on Polytopes, volume 152 of Graduate Texts in Mathematics. Springer-Verlag, 1994.<br /> <br /> [5] Douglas Zongker. Creation of overlay tilings through dualization of regular networks. In Nathaniel Friedman and<br /> Javier Barrallo, editors, Proceedings of ISAMA 99, pages 495-502, June 1999.<br /> <br /> <br /> == Links ==<br /> === Full Text === <br /> http://archive.bridgesmathart.org/2001/bridges2001-167.pdf<br /> <br /> [[intern file]]<br /> <br /> === Sonstige Links ===<br /> http://archive.bridgesmathart.org/2001/bridges2001-167.html</div>

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