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Pachner Move
Pachner is a German surname. Notable people with the surname include: * Lukas Pachner (born 1991), Austrian snowboarder * Paul Pachner (1871–1937), Austro–Hungarian admiral *Valerie Pachner (born 1987), Austrian actress *William Pachner (1915–2017), Czech-born American painter See also *Pachner moves In topology, a branch of mathematics, Pachner moves, named after Udo Pachner, are ways of replacing a triangulation of a piecewise linear manifold by a different triangulation of a homeomorphic manifold. Pachner moves are also called bistellar fl ..., are also called bistellar flips (Geometric topology) {{Surname German-language surnames ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lukas Pachner
Lukas Pachner (born 5 December 1991) is an Austrian snowboarder. He competed in the 2018 Winter Olympics , nations = 93 , athletes = 2,922 (1,680 men and 1,242 women) , events = 102 in 7 sports (15 disciplines) , opening = , closing = , opened_by = President Moon Jae-in , cauldron = Kim Yun-a , stadium = Pyeongchang Olympic Stadium , winte .... References 1991 births Living people Snowboarders at the 2018 Winter Olympics Snowboarders at the 2022 Winter Olympics Austrian male snowboarders Olympic snowboarders for Austria {{Austria-snowboarding-bio-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Paul Pachner
Paul Pachner (October 17, 1871 - October 13,1937) was an Austro–Hungarian admiral who served during World War I. He commanded the protected cruiser SMS Zenta during the Battle of Antivari in 1914, where it was sunk in an unequal battle with a large French fleet. After the war, he served in the Spanish merchant marine, then aboard the Khedive Khedive (, ota, خدیو, hıdiv; ar, خديوي, khudaywī) was an honorific title of Persian origin used for the sultans and grand viziers of the Ottoman Empire, but most famously for the viceroy of Egypt from 1805 to 1914.Adam Mestyan" ... of Egypt's private yacht, and finally aboard a Yugoslav collier. References Austro-Hungarian military personnel of World War I 1871 births 1937 deaths Austro-Hungarian admirals {{Europe-mil-bio-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Valerie Pachner
Valerie Pachner (born 26 June 1987) is an Austrian actress. Life and work Valerie Pachner grew up in Bad Schallerbach, Austria, and studied acting at the Max Reinhardt Seminar in Vienna from 2009 to 2013. She was then part of the ensemble cast at the Residenztheater in Munich, under artistic director Martin Kušej until 2017. Her work on stage was awarded twice in 2016. Pachner starred as the female lead in the 2015 film '' Bad Luck'' (directed by Thomas Woschitz), which was nominated for the Max-Ophüls-Preis. After that she appeared in Elisabeth Scharang's ''Jack'' and Maria Schrader's biopic of the Austrian writer Stefan Zweig, ''Vor der Morgenröte ( Stefan Zweig: Farewell to Europe)'', playing Zweig's stepdaughter alongside Barbara Sukowa and Josef Hader as Zweig. For her portrayal of Egon Schiele's muse Wally Neuzil in Dieter Berner's '' Egon Schiele: Death and the Maiden'' she was awarded the Austrian Film Award and the Romy. In 2019 '' The Ground Beneath My Fee ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
William Pachner
William Pachner (April 7, 1915 – November 17, 2017) was a Czech-born American painter who made his home in Woodstock, New York from 1945. Life He studied art in Vienna and worked as an illustrator in Prague before coming to the United States in 1939 on the eve of World War II. During the war, his anti-fascist anti-Nazi illustrations appeared in the foremost national magazines. When he learned in 1945 that all members of his family had been exterminated by the Germans, he quit his commercial career and resolved never again to do a commercial job, but to paint what he felt. A former teacher at the Art Students League in Woodstock, Pachner has had numerous one-man exhibitions in New York City and Florida. In later life he had shows at the Tampa Museum of Art, the Florida Holocaust Museum, and the Museum of Fine Arts (St. Petersburg, Florida). He turned 100 in April 2015. Pachner has two children: Ann Koolman Pachner (born 1944) and Charles Edward Pachner (born 1946). Pachner die ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pachner Moves
In topology, a branch of mathematics, Pachner moves, named after Udo Pachner, are ways of replacing a triangulation of a piecewise linear manifold by a different triangulation of a homeomorphic manifold. Pachner moves are also called bistellar flips. Any two triangulations of a piecewise linear manifold are related by a finite sequence of Pachner moves. Definition Let \Delta_ be the (n+1)-simplex. \partial \Delta_ is a combinatorial ''n''-sphere with its triangulation as the boundary of the ''n+1''-simplex. Given a triangulated piecewise linear (PL) ''n''-manifold N, and a co-dimension ''0'' subcomplex C \subset N together with a simplicial isomorphism \phi : C \to C' \subset \partial \Delta_, the Pachner move on ''N'' associated to ''C'' is the triangulated manifold (N \setminus C) \cup_\phi (\partial \Delta_ \setminus C'). By design, this manifold is PL-isomorphic to N but the isomorphism does not preserve the triangulation. See also * Flip graph * Unknotting problem ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
