http://de.evo-art.org/index.php?action=history&feed=atom&title=Hyperbolic_Truchet_Tilings 2026-05-27T06:43:41Z Versionsgeschichte dieser Seite in de_evolutionary_art_org MediaWiki 1.27.4 http://de.evo-art.org/index.php?title=Hyperbolic_Truchet_Tilings&diff=4006&oldid=prev 2015-01-29T15:09:18Z

<p>Die Seite wurde neu angelegt: „ == Reference == Douglas Dunham: <a href="/index.php?title=Hyperbolic_Truchet_Tilings" title="Hyperbolic Truchet Tilings">Hyperbolic Truchet Tilings</a>. In: <a href="/index.php?title=Bridges_2011" title="Bridges 2011">Bridges 2011</a>. Pages 311–318 == DOI == == Abstract == About 300 years ago S ́eba…“</p> <p><b>Neue Seite</b></p><div><br /> <br /> == Reference ==<br /> Douglas Dunham: [[Hyperbolic Truchet Tilings]]. In: [[Bridges 2011]]. Pages 311–318 <br /> <br /> == DOI ==<br /> <br /> == Abstract ==<br /> About 300 years ago S ́ebastien Truchet systematically studied patterns that could be formed from square tiles that<br /> were divided by a diagonal into a white triangle and a black triangle. Other pattern creators have been inspired by<br /> him to make Truchet-like tilings composed of circular arcs and other motifs. These tilings are all based on Euclidean<br /> tessellations, usually the tiling by squares. In this paper we extend the concept of a Truchet tiling to the hyperbolic<br /> plane and show some sample patterns.<br /> <br /> == Extended Abstract ==<br /> <br /> == Bibtex == <br /> <br /> == Used References ==<br /> [1] Cameron Browne, Duotone Truchet-like tilings, Journal of Mathematics and the Arts, 2: pp. 189–196, 2008.<br /> <br /> [2] The Wikipedia page on Pierre Simon Fournier: http://en.wikipedia.org/wiki/Pierre_Simon_Fournier<br /> <br /> [3] R.A. Lord and S. Ranganathan, Truchet tilings and their generalisations, Resonance, Vol. 11, No. 6,<br /> pp. 42–50, 2006.<br /> <br /> [4] David Reimann, Text from Truchet Tiles, Bridges 2009 Conference Proceedings, pp. 325–326, 2009.<br /> <br /> [5] David Reimann, Patterns from Archimedean Tilings Using Generalized Truchet Tiles Decorated with Simple B ́ezier Curves, Bridges 2010 Conference Proceedings, pp. 427–430, 2010.<br /> <br /> [6] Sleeves Rhode patterns at: http://xahlee.org/math/Truchet_tiles.html<br /> <br /> [7] Cyril Stanley Smith, The tiling patterns of Sebastien Truchet and the topology of structural hierarchy,<br /> Leonardo, 20(4): 373–385, 1987.<br /> <br /> [8] S ́ebastien Truchet, M ́emoire sur les combinaisons, Memoires de l’Academie Royale des Sciences, pp. 363–372, 1704.<br /> <br /> [9] S. Truchet, Wikipedia page: http://en.wikipedia.org/wiki/Sebastien_Truchet<br /> <br /> <br /> == Links ==<br /> === Full Text === <br /> http://archive.bridgesmathart.org/2011/bridges2011-311.pdf<br /> <br /> [[intern file]]<br /> <br /> === Sonstige Links ===<br /> http://archive.bridgesmathart.org/2011/bridges2011-311.html</div>

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