http://de.evo-art.org/index.php?action=history&feed=atom&title=Inside_and_Outside_the_Rhombic_Hexecontahedron 2026-06-10T02:56:49Z Versionsgeschichte dieser Seite in de_evolutionary_art_org MediaWiki 1.27.4 http://de.evo-art.org/index.php?title=Inside_and_Outside_the_Rhombic_Hexecontahedron&diff=4009&oldid=prev 2015-01-29T15:15:36Z

<p>Die Seite wurde neu angelegt: „ == Reference == Sándor Kabai: <a href="/index.php?title=Inside_and_Outside_the_Rhombic_Hexecontahedron" title="Inside and Outside the Rhombic Hexecontahedron">Inside and Outside the Rhombic Hexecontahedron</a>. In: <a href="/index.php?title=Bridges_2011" title="Bridges 2011">Bridges 2011</a>. Pages 387–394 == DOI == == Abstract == The rhom…“</p> <p><b>Neue Seite</b></p><div><br /> <br /> == Reference ==<br /> Sándor Kabai: [[Inside and Outside the Rhombic Hexecontahedron]]. In: [[Bridges 2011]]. Pages 387–394 <br /> <br /> == DOI ==<br /> <br /> == Abstract ==<br /> The rhombic hexecontahedron is a twenty-pointed star polyhedron that is bounded by sixty golden rhombi. It can be understood<br /> as a stellation of its relative, the Keplerian rhombic triacontahedron, or as the assembly as twenty prolate golden rhombohedra.<br /> This study investigates these relationships and the possible structures that can be created by dissecting and recombining parts of<br /> these forms. Many possible structures are introduced with the help of Wolfram Mathematica graphics, the Zometool construction<br /> set, and the author&#039;s own StyroBlock modeling system, see www.kabai.hu).<br /> <br /> == Extended Abstract ==<br /> <br /> == Bibtex == <br /> <br /> == Used References ==<br /> [1] Unkelbach, H. Die kantensymmetrischen, gleichkantigen Polyeder. Deutsche Math. 5, 1940.<br /> <br /> [2] http://www.georgehart.com/virtual-polyhedra/five-cube-intersection.html<br /> <br /> [3] Guyot, P. News on Five-Fold Symmetry. Nature 326, 640-641, 1987.<br /> <br /> [4] http://en.wikipedia.org/wiki/Quasicrystal<br /> <br /> [5] Á. Csanády et al, Proceedings of the 8th ILMC(1987) 486<br /> <br /> [6] H. U. NissenR.Wessicken,C. Beelii and Á. Csanády, Phil. Mag. 57, 1988,587<br /> <br /> [7] Kabai S., Bérczi Sz. Rhombic Structures, UNICONSTANT, 2009<br /> <br /> [8] http://demonstrations.wolfram.com/index.html<br /> <br /> [9] Kabai S., Mathematical Graphics with the use of Mathematica, UNICONSTANT, 2002<br /> <br /> [10] http://matematika.fe.uni-lj.si/people/izidor/homepage/<br /> <br /> [11] Grünbaum B., A new rhombic hexecontahedron, Geombinatorics 6(1996), 15 -18.<br /> <br /> [12] Longuet-Higgins, M.S., On the use of symmetry, in Hargittai, I., editor, Symmetry 2000.<br /> <br /> [13] Hart, G., Procedural Generation of Sculptural Forms, Bridges 2008.<br /> <br /> [14] http://www.wolframalpha.com/<br /> <br /> [15] Grünbaum, B. &quot;A New Rhombic Hexecontahedron--Once More.&quot; Geombinatorics, 6, 55-59, 1996.<br /> <br /> [16] Messer, P. W. Stellations of the Rhombic Triacontahedron. Structural Topology 21, 25-46, 1995.<br /> <br /> <br /> == Links ==<br /> === Full Text === <br /> http://archive.bridgesmathart.org/2011/bridges2011-387.pdf<br /> <br /> [[intern file]]<br /> <br /> === Sonstige Links ===<br /> http://archive.bridgesmathart.org/2011/bridges2011-387.html</div>

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