http://de.evo-art.org/index.php?action=history&feed=atom&title=Crooked_Houses%3A_Visualizing_the_Polychora_with_Hyperbolic_Patchwork 2026-05-02T22:04:32Z Versionsgeschichte dieser Seite in de_evolutionary_art_org MediaWiki 1.27.4 http://de.evo-art.org/index.php?title=Crooked_Houses:_Visualizing_the_Polychora_with_Hyperbolic_Patchwork&diff=33244&oldid=prev 2017-12-06T16:54:02Z

<p>Die Seite wurde neu angelegt: „ == Referenz == Taneli Luotoniemi: <a href="/index.php?title=Crooked_Houses:_Visualizing_the_Polychora_with_Hyperbolic_Patchwork" title="Crooked Houses: Visualizing the Polychora with Hyperbolic Patchwork">Crooked Houses: Visualizing the Polychora with Hyperbolic Patchwork</a>. In: <a href="/index.php?title=Bridges_2017" title="Bridges 2017">Bridges 2017</a>, Pages 17–24. == DOI ==…“</p> <p><b>Neue Seite</b></p><div><br /> == Referenz == <br /> Taneli Luotoniemi: [[Crooked Houses: Visualizing the Polychora with Hyperbolic Patchwork]]. In: [[Bridges 2017]], Pages 17–24. <br /> <br /> == DOI ==<br /> <br /> == Abstract ==<br /> This paper presents kinetic models based on the 4-dimensional regular polytopes. The sequential ‘flattening’ is realized through the use of hyperbolic patchwork surfaces, which portray the bitruncated versions of the polychora. As pedagogical tools, these models offer a hands-on experience of 4D geometry. <br /> <br /> == Extended Abstract ==<br /> <br /> == Bibtex == <br /> @inproceedings{bridges2017:17,<br /> author = {Taneli Luotoniemi},<br /> title = {Crooked Houses: Visualizing the Polychora with Hyperbolic Patchwork},<br /> pages = {17--24},<br /> booktitle = {Proceedings of Bridges 2017: Mathematics, Art, Music, Architecture, Education, Culture},<br /> year = {2017},<br /> editor = {David Swart, Carlo H. S\&#039;equin, and Krist\&#039;of Fenyvesi},<br /> isbn = {978-1-938664-22-9},<br /> issn = {1099-6702},<br /> publisher = {Tessellations Publishing},<br /> address = {Phoenix, Arizona},<br /> note = {Available online at \url{http://archive.bridgesmathart.org/2017/bridges2017-17.pdf}}<br /> }<br /> <br /> == Used References == <br /> [1] H. S. M. Coxeter. Regular Polytopes. Dover Publications. 1973.<br /> <br /> [2] Robert A. Heinlein, “…And He Built a Crooked House”, In Astounding Science Fiction, February 1941.<br /> <br /> [3] Saul Scleimer and Henry Segerman. Sculptures in S³. In Robert Bosch, Douglas McKenna, and Reza Sarhangi,<br /> editors, Proceedings of Bridges 2012: Mathematics, Music, Art, Architecture, Culture, pages 103–110,<br /> Phoenix, Arizona, 2012, Tessellations Publishing. Available online at<br /> http://archive.bridgesmathart.org/2012/bridges2012-103.html<br /> <br /> [4] Carlo H. Séquin. 3D Visualization Model of the Regular Polytopes in Four and Higher Dimensions. In Reza<br /> Sarhangi, editors, Bridges: Mathematical Connections in Art, Music, and Science, pages 37–48, Southwestern<br /> College, Winfield, Kansas, 2002, Bridges Conference. Available online at<br /> http://archive.bridgesmathart.org/2002/bridges2002-37.html<br /> <br /> [5] Jeffrey R. Weeks. How To Sew a Hyperbolic Blanket.<br /> http://www.geometrygames.org/HyperbolicBlanket/index.html (as of April 21, 2017)<br /> <br /> [6] Jeffrey R. Weeks. The Shape of Space. CRC Press. 2001.<br /> <br /> [7] Wikipedia Contributors. Uniform 4-polytope.<br /> https://en.wikipedia.org/wiki/Uniform_4-polytope (as of April 21, 2017)<br /> <br /> == Links == <br /> <br /> === Full Text === <br /> http://archive.bridgesmathart.org/2017/bridges2017-17.pdf<br /> <br /> [[internal file]] <br /> <br /> <br /> === Sonstige Links ===</div>

Gubachelier