http://de.evo-art.org/index.php?action=history&feed=atom&title=Multidimensional_Impossible_PolycubesMultidimensional Impossible Polycubes - Versionsgeschichte2026-05-17T02:46:59ZVersionsgeschichte dieser Seite in de_evolutionary_art_orgMediaWiki 1.27.4http://de.evo-art.org/index.php?title=Multidimensional_Impossible_Polycubes&diff=3893&oldid=prevGbachelier: Die Seite wurde neu angelegt: „ == Reference == Koji Miyazaki: Multidimensional Impossible Polycubes. In: Bridges 2013. Pages 79–86 == DOI == == Abstract == We first derive a 3…“2015-01-28T10:54:16Z<p>Die Seite wurde neu angelegt: „ == Reference == Koji Miyazaki: <a href="/index.php?title=Multidimensional_Impossible_Polycubes" title="Multidimensional Impossible Polycubes">Multidimensional Impossible Polycubes</a>. In: <a href="/index.php?title=Bridges_2013" title="Bridges 2013">Bridges 2013</a>. Pages 79–86 == DOI == == Abstract == We first derive a 3…“</p>
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== Reference ==<br />
Koji Miyazaki: [[Multidimensional Impossible Polycubes]]. In: [[Bridges 2013]]. Pages 79–86 <br />
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== DOI ==<br />
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== Abstract ==<br />
We first derive a 3-dimensional impossible polycube by forcibly deforming the projection of a<br />
3-dimensional polycube. This procedure is extended into n(≥4)-space to construct n-dimensional<br />
impossible polycubes represented in 2- or 3-space. They are useful as fundamental grid patterns for<br />
imaging various n-dimensional impossible figures in our 3-space. On 2-space, especially, each pattern<br />
can be composed of [n/2] kinds of rhombi grouped into n congruent periodic portions which spirally fill<br />
a semi-regular 2n-gon. The same [n/2] kinds of rhombi compose a radial quasi-periodic pattern in a<br />
regular 2n-gon which is derived from the projection of an n-dimensional polycube.<br />
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== Extended Abstract ==<br />
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== Bibtex == <br />
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== Used References ==<br />
[1] K. Miyazaki, “Impossible Polycube – four-dimensional version”, Experience-centered Approach<br />
and Visuality In The Education of Mathematics and Physics, S. Jablan, et al. ed., the Kaposvar<br />
University (2012), pp.180-182.<br />
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[2] S. Kim, “An Impossible Four-Dimensional Illusion”, Hypergraphics: Visualizing Complex Relation-<br />
ships in Art, Science and Technology, D. Brisson ed., Westview Press (1978), pp.187-239.<br />
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[3] B.Grünbaum, G.C.Shephard, “Tilings and Patterns”, W.H.Freeman (1987), pp.556-557.<br />
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== Links ==<br />
=== Full Text === <br />
http://archive.bridgesmathart.org/2013/bridges2013-79.pdf<br />
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[[intern file]]<br />
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=== Sonstige Links ===<br />
http://archive.bridgesmathart.org/2013/bridges2013-79.html</div>Gbachelier