http://de.evo-art.org/index.php?action=history&feed=atom&title=Sections_Beyond_Golden 2026-05-18T01:28:22Z Versionsgeschichte dieser Seite in de_evolutionary_art_org MediaWiki 1.27.4 http://de.evo-art.org/index.php?title=Sections_Beyond_Golden&diff=4279&oldid=prev 2015-02-01T13:19:22Z

<p>Die Seite wurde neu angelegt: „ == Reference == Peter Steinbach: <a href="/index.php?title=Sections_Beyond_Golden" title="Sections Beyond Golden">Sections Beyond Golden</a>. In: <a href="/index.php?title=Bridges_2000" title="Bridges 2000">Bridges 2000</a>. Pages 35–44 == DOI == == Abstract == Over the centuries, the Fine Arts…“</p> <p><b>Neue Seite</b></p><div><br /> == Reference ==<br /> Peter Steinbach: [[Sections Beyond Golden]]. In: [[Bridges 2000]]. Pages 35–44 <br /> <br /> == DOI ==<br /> <br /> == Abstract ==<br /> Over the centuries, the Fine Arts have celebmted seveml special. numerical ratios and proportions for their visual<br /> dynamics or balance and sometimes for their musical potential. From the golden ratio to the sacred cut, numerical<br /> relationships are at the heart of some of the greatest works of Nature and of Western design. This article introduces<br /> to interdisciplinary designers three newly-discovered numerical relations and summarizes current knowledge about<br /> them~ Together with the golden ratio they form a golden family, and though not well understood yet, they are very<br /> compelling, both as mathematical diversions and as design elements. They also point toward an interesting<br /> geometry problem that is not yet solved. (Some of these ideas also appear in [5] in more technical language.)<br /> <br /> == Extended Abstract ==<br /> <br /> == Bibtex == <br /> <br /> == Used References ==<br /> [1] E. J. Dijksterhuis, Archimedes. Copenhagen: Ejnar Munksgaard, 1956.<br /> <br /> [2] Le Corbusier, The Modulor. Cambridge: Harvard University Press, 1954.<br /> <br /> [3] Robert Lawlor, Sacred Geonetry. London: Thames &amp; Hudsm, 1992.<br /> <br /> [4] P. H. Scholfield, The ThtDry of Proportion in Architecture. Cambridge: The University Press, 1958.<br /> <br /> [5] Peter Steinbach, Golden Fields: A Case for the Heptagon. MAA Mathematics Magazine, February 1997.<br /> <br /> [6] Kim Williams, The Sacred Cut Revisited: The Pavement of the Baptistery of San Giovanni, Florence. The<br /> Mathematical Intelligencer 16:2 (1994) 18.<br /> <br /> GyOrgy Doczi, The Power of Limits. Boulder: Shambala, 1981.<br /> <br /> Matila Ghyka, The Geometry ofArt and Life. New York: Dover, 1978.<br /> <br /> Grünbaum &amp; Shephard, Tilings and Patterns. New York: Freeman and Co., 1987.<br /> <br /> Jonathan Hale, The Old Way of Seeing. New York: Houghtm Mifflin, 1994.<br /> <br /> Jay Hambidge, The Elements ofDynamic Symmetry. New Haven, 1948.<br /> <br /> Gyorgy Kepes, Module, Proportion, Symmetry, Rhythm. New York: GeorgeBraziller, 1966.<br /> <br /> Nelson, Joseph, &amp; Williams, Multicultural Mathematics. Oxford University Press, 1993.<br /> <br /> Dan Pedoe, Geometry and the Visual Arts. New Yak: Dover,1976.<br /> <br /> <br /> == Links ==<br /> === Full Text === <br /> http://archive.bridgesmathart.org/2000/bridges2000-35.pdf<br /> <br /> [[intern file]]<br /> <br /> === Sonstige Links ===<br /> http://archive.bridgesmathart.org/2000/bridges2000-35.html</div>

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