http://de.evo-art.org/index.php?action=history&feed=atom&title=Splitting_TilingsSplitting Tilings - Versionsgeschichte2026-05-09T17:54:07ZVersionsgeschichte dieser Seite in de_evolutionary_art_orgMediaWiki 1.27.4http://de.evo-art.org/index.php?title=Splitting_Tilings&diff=3965&oldid=prevGbachelier: Die Seite wurde neu angelegt: „ == Reference == Rinus Roelofs: Splitting Tilings. In: Bridges 2012. Pages 111–118 == DOI == == Abstract == In this paper I will investigate some…“2015-01-28T20:17:29Z<p>Die Seite wurde neu angelegt: „ == Reference == Rinus Roelofs: <a href="/index.php?title=Splitting_Tilings" title="Splitting Tilings">Splitting Tilings</a>. In: <a href="/index.php?title=Bridges_2012" title="Bridges 2012">Bridges 2012</a>. Pages 111–118 == DOI == == Abstract == In this paper I will investigate some…“</p>
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== Reference ==<br />
Rinus Roelofs: [[Splitting Tilings]]. In: [[Bridges 2012]]. Pages 111–118 <br />
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== DOI ==<br />
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== Abstract ==<br />
In this paper I will investigate some properties of a special group of tilings. Namely those tiling’s that can be coloured<br />
with only two different colours in such a way that every set of two tiles which have a common edge have a different<br />
colour. In the works of M.C. Escher these tiling’s play an important role. In his book Regelmatige Vlakverdeling [1]<br />
M.C. Escher writes about the foreground-background phenomenon of this group of tilings. In fact these 2-colorable<br />
tilings can be seen as a compound of two groups of tiles. And so we can split a 2-colorable tiling in two sets of tiles and<br />
we can concentrate on only one of these sets.<br />
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== Extended Abstract ==<br />
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== Bibtex == <br />
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== Used References ==<br />
M.C. Escher, Regelmatige Vlakverdeling, Stichting de Roos, 1958.<br />
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Greg N. Frederickson, Hinged Dissections: Swinging and Twisting, Cambridge University Press, 2002.<br />
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Wentzel Jamnitzer, Perspectiva corporum regularium, Ediciones Siruela, 1993, 2006.<br />
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R. Buckminster Fuller, Synergetics, Macmillan Publishing, 1975.<br />
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== Links ==<br />
=== Full Text === <br />
http://archive.bridgesmathart.org/2012/bridges2012-111.pdf<br />
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[[intern file]]<br />
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=== Sonstige Links ===<br />
http://archive.bridgesmathart.org/2012/bridges2012-111.html</div>Gbachelier