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Utah teapot
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==Appearances== [[File:The Six Platonic Solids.png|thumb|right|"The Six Platonic Solids", an image that humorously adds the Utah teapot to the five standard [[Platonic solid]]s]] One famous [[Ray tracing (graphics)|ray-traced]] image, by James Arvo and David Kirk in 1987,<ref name="Arvo_1987">{{cite journal |first1= James |last1= Arvo |first2= David |last2= Kirk |journal= ACM SIGGRAPH Computer Graphics |title= Fast ray tracing by ray classification |year= 1987 |volume= 21 |issue= 4 |pages= 55β64 |doi= 10.1145/37402.37409 |doi-access= free }}</ref> shows six stone columns, five of which are surmounted by the [[Platonic solid]]s ([[tetrahedron]], [[cube]], [[octahedron]], [[dodecahedron]], [[icosahedron]]). The sixth column supports a teapot.<ref>{{cite web|last1=Carlson|first1=Wayne|title=A Critical History of Computer Graphics and Animation |url=http://design.osu.edu/carlson/history/lesson20.html |publisher=OSU.edu |access-date=15 April 2015 |archive-url=https://web.archive.org/web/20120212183002/https://design.osu.edu/carlson/history/lesson20.html |archive-date=2012-02-12 |date=2007}}</ref> The image is titled "The Six Platonic Solids", with Arvo and Kirk calling the teapot "the newly discovered [[polyhedron|Teapotahedron]]".<ref name="Arvo_1987"/> This image appeared on the covers of several books and computer graphic journals. The Utah teapot sometimes appears in the "Pipes" [[screensaver]] shipped with [[Microsoft Windows]],<ref>{{cite web |url=http://www.eeggs.com/items/493.html |title=Windows NT Easter Egg β Pipes Screensaver |website=The Easter Egg Archive |access-date=May 5, 2018}}</ref> but only in versions prior to Windows XP, and has been included in the "polyhedra" [[XScreenSaver]] hack since 2008.<ref>{{cite web|url=http://www.jwz.org/xscreensaver/changelog.html|title=changelog (Added the missing Utah Teapotahedron to polyhedra)|website=Xscreensaver|date=10 Aug 2008}}</ref> [[Jim Blinn]] (in one of his "[[Project MATHEMATICS!]]" videos) proves an amusing (but [[Trivial (mathematics)|trivial]]) version of the [[Pythagorean theorem]]: construct a (2D) teapot on each side of a [[right triangle]] and the area of the teapot on the [[hypotenuse]] is equal to the sum of the areas of the teapots on the other two sides.<ref>{{cite AV media|title=Project Mathematica: Theorem Of Pythagoras|date=1988|url=https://archive.org/details/theorem_of_pythagoras|via=archive.org|publisher=NASA|access-date=28 July 2015|time=14:00}}</ref> [[Vulkan (API)|Vulkan]] and [[OpenGL]] graphics APIs feature the Utah teapot along with the [[Stanford dragon]] and the [[Stanford bunny]] on their badges.<ref>{{cite web|author=Rob Williams|date=March 8, 2018|title=Khronos Group Announces Vulkan 1.1|publisher=Techgage Networks|url=https://techgage.com/news/khronos-group-announces-vulkan-1-1/|access-date=2020-01-18}}</ref> With the advent of the first computer-generated short films, and later full-length feature films, it has become an [[in-joke]] to hide the Utah teapot in films' scenes.<ref>{{cite magazine|title=Tempest in a Teapot|magazine=Continuum|date=Winter 2006β2007|url=http://continuum.utah.edu/back_issues/2006winter/teapot.html|archive-url=https://web.archive.org/web/20140712192931/http://continuum.utah.edu/back_issues/2006winter/teapot.html|archive-date=2014-07-12|url-status=live}}</ref> For example, in the movie ''[[Toy Story]]'', the Utah teapot appears in a short tea-party scene. The teapot also appears in ''[[The Simpsons]]'' episode "[[Treehouse of Horror VI]]" in which Homer discovers the "third dimension."<ref>{{cite web|title=Pacific Data Images β ''Homer3''|url=http://cs.appstate.edu/~sjg/math/pacificdatahomer3d.html|url-status=live|archive-url=https://web.archive.org/web/20080724183923/http://www.cs.appstate.edu/~sjg/math/pacificdatahomer3d.html|archive-date=2008-07-24}}</ref> In ''[[The Sims 2]]'', a picture of the Utah teapot is one of the paintings available to buy in-game, titled "Handle and Spout". An [[origami]] version of the teapot, folded by [[Tomohiro Tachi]], was shown at the [[Tikotin Museum of Japanese Art]] in Israel in a 2007β2008 exhibit.<ref>{{cite web|url=http://www.giladorigami.com/Tikotin/MA_Tachi.html|title=Tomohiro Tachi|work=Treasures of Origami Art|publisher=Tikotin Museum of Japanese Art|date=17 August 2007|access-date=2021-06-18}}</ref> [[File:'Smithfield Utah' public sculpture.jpg|thumb|'Smithfield Utah' public sculpture in Dublin, Ireland]] In Oct 2021 "Smithfield Utah" by Alan Butler which was inspired by the Utah teapot was unveiled in Dublin, Ireland.<ref>{{Cite web |title=Dublin City Council commission of public sculpture for Smithfield Square |url=https://www.sculpturedublin.ie/wp-content/uploads/2020/07/Sculpture-Dublin-Artist-Brief-Smithfield-Square.pdf |access-date=2023-04-23}}</ref><ref>{{Cite web |title=Central Area: Smithfield Square Lower β Sculpture Dublin |url=https://www.sculpturedublin.ie/smithfield-square/ |access-date=2023-04-23 |language=en-US}}</ref>
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