http://de.evo-art.org/index.php?action=history&feed=atom&title=The_Manifold_Beauty_of_Piano-hinged_Dissections 2026-05-16T20:27:32Z Versionsgeschichte dieser Seite in de_evolutionary_art_org MediaWiki 1.27.4 http://de.evo-art.org/index.php?title=The_Manifold_Beauty_of_Piano-hinged_Dissections&diff=4163&oldid=prev 2015-01-31T10:03:57Z

<p>Die Seite wurde neu angelegt: „ == Reference == Greg N. Frederickson: <a href="/index.php?title=The_Manifold_Beauty_of_Piano-hinged_Dissections" title="The Manifold Beauty of Piano-hinged Dissections">The Manifold Beauty of Piano-hinged Dissections</a>. In: <a href="/index.php?title=Bridges_2005" title="Bridges 2005">Bridges 2005</a>. Pages 1–8 == DOI == == Abstract == A ge…“</p> <p><b>Neue Seite</b></p><div><br /> <br /> == Reference ==<br /> Greg N. Frederickson: [[The Manifold Beauty of Piano-hinged Dissections]]. In: [[Bridges 2005]]. Pages 1–8 <br /> <br /> == DOI ==<br /> <br /> == Abstract ==<br /> A geometric dissection is a cutting of one geometric figure into pieces that we can rearrange to form<br /> another. For some dissections, it is possible to hinge the pieces together, so that we can flip the pieces<br /> one way on the hinges to form one figure, and flip them another way to form the other figure. When<br /> the hinge connects two pieces along a shared edge in both target figures, the movement corresponds to<br /> a folding. We call such dissections piano-hinged dissections. This paper explores design methods and<br /> properties of piano-hinged dissections.<br /> <br /> == Extended Abstract ==<br /> <br /> == Bibtex == <br /> <br /> == Used References ==<br /> [1] Henry E. Dudeney. Puzzles and prizes. Column in Weekly Dispatch, 1896–1903.<br /> <br /> [2] Henry Ernest Dudeney. The Canterbury Puzzles and Other Curious Problems. W. Heinemann, London, 1907.<br /> <br /> [3] Henry Ernest Dudeney. Puzzles and Curious Problems. Thomas Nelson and Sons, London, 1931.<br /> <br /> [4] William L. Esser, III. Jewelry and the like adapted to define a plurality of objects or shapes. U.S.<br /> Patent 4,542,631, 1985. Filed 1983.<br /> <br /> [5] Greg N. Frederickson. Dissections Plane &amp; Fancy. Cambridge University Press, New York, 1997.<br /> <br /> [6] Greg N. Frederickson. Hinged Dissections: Swinging and Twisting. Cambridge University Press, New<br /> York, 2002.<br /> <br /> [7] Greg N. Frederickson. Piano-hinged dissections: now let’s fold. In Jin Akiyama and Mikio Kano,<br /> editors, Discrete and Computational Geometry, Japanese Conference, JCDCG 2002 Revised Papers,<br /> volume LNCS 2866, pages 159–171. Springer, 2003.<br /> <br /> [8] Greg N. Frederickson. “Piano-Hinged Dissections: Time to Fold”. Completed draft of a manuscript,<br /> 320 pages, 2004.<br /> <br /> [9] Greg N. Frederickson. Hinged dissections: Swingers, twisters, flappers. In M.L. Demaine B. Cipra,<br /> E.D. Demaine and T. Rodgers, editors, A Tribute to a Mathemagician, pages 185–195. A K Peters,<br /> Ltd., Wellesley, Massachusetts, 2005.<br /> <br /> [10] Solomon W. Golomb. Polyominoes : Puzzles, Patterns, Problems, and Packings. Princeton University<br /> Press, Princeton, 2nd edition, 1994.<br /> <br /> [11] Harry Lindgren. Geometric Dissections. D. Van Nostrand Company, Princeton, New Jersey, 1964.<br /> <br /> [12] Sam Loyd. Mental Gymnastics. Puzzle column in Sunday edition of Philadelphia Inquirer, 1898–1901.<br /> <br /> [13] Geoffrey Mott-Smith. Mathematical Puzzles for Beginners and Enthusiasts. Blakiston Co., Philadelphia,<br /> 1946. Reprinted by Dover Publications, New York, 1954.<br /> <br /> <br /> == Links ==<br /> === Full Text === <br /> http://archive.bridgesmathart.org/2005/bridges2005-1.pdf<br /> <br /> [[intern file]]<br /> <br /> === Sonstige Links ===<br /> http://archive.bridgesmathart.org/2005/bridges2005-1.html</div>

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