Ludwig Schläfli (15 January 1814 – 20 March 1895) was a Swiss mathematician, specialising in geometry and complex analysis (at the time called function...
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polytopes and tessellations. The Schläfli symbol is named after the 19th-century Swiss mathematician Ludwig Schläfli,: 143 who generalized Euclidean...
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Regular 4-polytope (redirect from Schläfli–Hess polychoron)
the Swiss mathematician Ludwig Schläfli in the mid-19th century. He discovered that there are precisely six such figures. Schläfli also found four of the...
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dimensions was fully developed by the Swiss mathematician Ludwig Schläfli before 1853. Schläfli's work received little attention during his lifetime and...
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Polytopes of more than three dimensions were first discovered by Ludwig Schläfli before 1853, who called such a figure a polyschem. The German term...
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Mond, German chemist Ludwig Prandtl, German physicist Ludwig Reichenbach, German botanist Ludwig Schläfli, Swiss geometer Ludwig von Graff,was an Austrian...
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In the mathematical field of graph theory, the Schläfli graph, named after Ludwig Schläfli, is a 16-regular undirected graph with 27 vertices and 216...
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Coxeter–Dynkin diagram (redirect from Schläfli criterion)
Coxeter group. Every Coxeter diagram has a corresponding Schläfli matrix (so named after Ludwig Schläfli), A, with matrix elements ai,j = aj,i = −2 cos(π/pi...
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the trip together with his family. They were accompanied to Italy by Ludwig Schläfli, who came as a translator; as he was strongly interested in mathematics...
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geometry, the Schläfli double six is a configuration of 30 points and 12 lines in three-dimensional Euclidean space, introduced by Ludwig Schläfli in 1858....
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Regular polytope (section Schläfli symbols)
mathematician, Ludwig Schläfli, examined and characterised the regular polytopes in higher dimensions. His efforts were first published in full in Schläfli (1901)...
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polytetrahedron is a regular star 4-polytope with Schläfli symbol {3, 3, 5/2}. It is one of 10 regular Schläfli-Hess polytopes. It is the only one with 600...
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cells. The 4-polytopes were discovered by the Swiss mathematician Ludwig Schläfli before 1853. The two-dimensional analogue of a 4-polytope is a polygon...
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(v_{d-1}v_{d})\,} that are mutually orthogonal. They were introduced by Ludwig Schläfli, who called them orthoschemes and studied their volume in Euclidean...
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solid) with Schläfli symbol {3,3,4}. It is one of the six regular convex 4-polytopes first described by the Swiss mathematician Ludwig Schläfli in the mid-19th...
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polydodecahedron is a regular star 4-polytope with Schläfli symbol {5/2,3,3}, one of 10 regular Schläfli-Hess 4-polytopes. It is unique among the 10 for...
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rotate polarized light. It remains unknown whether Arthur Cayley or Ludwig Schläfli, or other contemporary mathematicians who studied polytopes, knew of...
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topology. Further contributions were made by Augustin-Louis Cauchy, Ludwig Schläfli, Johann Benedict Listing, Bernhard Riemann and Enrico Betti. Listing...
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vertex. This pair {p, q}, called the Schläfli symbol, gives a combinatorial description of the polyhedron. The Schläfli symbols of the five Platonic solids...
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Cayley, William Rowan Hamilton, Ludwig Schläfli and Bernhard Riemann. Riemann's 1854 Habilitationsschrift, Schläfli's 1852 Theorie der vielfachen Kontinuität...
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applied in spaces of dimension more than three until the 19th century. Ludwig Schläfli generalized Euclidean geometry to spaces of dimension n, using both...
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dimensions. He further defined the Schläfli symbol notation to make it easy to describe polytopes. For example, the Schläfli symbol for an equilateral triangle...
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These 4-polytopes were first described by the Swiss mathematician Ludwig Schläfli in the mid-19th century. The cross-polytope family is one of three...
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It has the Schläfli symbol { }, or a Coxeter diagram with a single ringed node, . Norman Johnson calls it a dion and gives it the Schläfli symbol { }...
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century saw the development of the general concept of Euclidean space by Ludwig Schläfli, who extended Euclidean geometry beyond three dimensions. He discovered...
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to study rotations in 4-dimensional Euclidean space. At mid-century Ludwig Schläfli developed the general concept of Euclidean space, extending Euclidean...
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Natural sciences Albert Einstein, Heinrich Greinacher, Hans Oeschger, Ludwig Schläfli, Bernhard Studer, Hugo von Mohl, Heinrich von Wild, Hugo Hadwiger Economics...
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Grassmann (1809–1877) – exterior algebra Ludwig Otto Hesse (1811–1874) – algebraic invariants and geometry Ludwig Schlafli (1814–1895) – Regular 4-polytope Pierre...
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(1885–1967), mathematician Georges de Rham (1903–1990), mathematician Ludwig Schläfli (1814–1895), mathematician Jakob Steiner (1796–1863), mathematician...
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the discovery of higher dimensions in the early 19th century led Ludwig Schläfli by 1853 to the idea of higher-dimensional polytopes. Additionally,...
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