| dbo:abstract |
Geometrian, Schönhardt-en poliedroa poliedro ez-ganbila sinpleena da, tetraedroetan ezin daitekeena erpin berriak gehitu gabe. Erich Schönhardt matematikari alemaniarraren omenez izendatu zen, 1928an lehen aldiz deskribatu zuena. (eu) In geometry, the Schönhardt polyhedron is the simplest non-convex polyhedron that cannot be triangulated into tetrahedra without adding new vertices. It is named after German mathematician Erich Schönhardt, who described it in 1928. The same polyhedra have also been studied in connection with Cauchy's rigidity theorem as an example where polyhedra with two different shapes have faces of the same shapes. (en) Многогранник Шёнхардта — это простейший невыпуклый многогранник, который нельзя триангулировать тетраэдрами без добавления новых вершин. Многогранник назван именем немецкого математика Эриха Шёнхардта, построившего его в 1928 году. (ru) 舒恩哈特八面體是一種多面體，這種多面體為需要額外加入頂點才能將之成若干四面體的立體中，結構最簡單的多面體。這個多面體由於1928年發現，並且以他的名字命名。相同的多面體亦作為柯西剛性定理描述具有相同形狀之面連接性所構成的2個不同多面體的示例。 (zh) |
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https://www.msri.org/communications/books/Book52/files/27rambau.pdf http://gdz.sub.uni-goettingen.de/no_cache/dms/load/img/%3FIDDOC=27796 http://www.ics.uci.edu/~eppstein/junkyard/untetra/ https://digital.lib.washington.edu/researchworks/bitstream/handle/1773/15700/Lost%20Mathematics.pdf%3Ffterence=1%7Cpages=41%E2%80%9342 |
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Geometrian, Schönhardt-en poliedroa poliedro ez-ganbila sinpleena da, tetraedroetan ezin daitekeena erpin berriak gehitu gabe. Erich Schönhardt matematikari alemaniarraren omenez izendatu zen, 1928an lehen aldiz deskribatu zuena. (eu) In geometry, the Schönhardt polyhedron is the simplest non-convex polyhedron that cannot be triangulated into tetrahedra without adding new vertices. It is named after German mathematician Erich Schönhardt, who described it in 1928. The same polyhedra have also been studied in connection with Cauchy's rigidity theorem as an example where polyhedra with two different shapes have faces of the same shapes. (en) Многогранник Шёнхардта — это простейший невыпуклый многогранник, который нельзя триангулировать тетраэдрами без добавления новых вершин. Многогранник назван именем немецкого математика Эриха Шёнхардта, построившего его в 1928 году. (ru) 舒恩哈特八面體是一種多面體，這種多面體為需要額外加入頂點才能將之成若干四面體的立體中，結構最簡單的多面體。這個多面體由於1928年發現，並且以他的名字命名。相同的多面體亦作為柯西剛性定理描述具有相同形狀之面連接性所構成的2個不同多面體的示例。 (zh) |
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Schönhardten poliedro (eu) Schönhardt polyhedron (en) Многогранник Шёнхардта (ru) 舒恩哈特八面體 (zh) |
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