• John Herbert de Paz Thorold Gosset (16 October 1869 – December 1962) was an English lawyer and an amateur mathematician. In mathematics, he is noted for...
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  • Thumbnail for 4 21 polytope
    constructed within the symmetry of the E8 group. It was discovered by Thorold Gosset, published in his 1900 paper. He called it an 8-ic semi-regular figure...
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  • E8 lattice (redirect from Gosset lattice)
    and Zolotarev in 1873. The E8 lattice is also called the Gosset lattice after Thorold Gosset who was one of the first to study the geometry of the lattice...
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  • Thumbnail for Gosset graph
    The Gosset graph, named after Thorold Gosset, is a specific regular graph (1-skeleton of the 7-dimensional 321 polytope) with 56 vertices and valency 27...
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  • Thumbnail for 5-demicube
    (penteract) with alternated vertices removed. It was discovered by Thorold Gosset. Since it was the only semiregular 5-polytope (made of more than one...
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  • properties. The original approach broadly followed by Ludwig Schläfli, Thorold Gosset and others begins with the extension by analogy into four or more dimensions...
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  • Thumbnail for 3 21 polytope
    constructed within the symmetry of the E7 group. It was discovered by Thorold Gosset, published in his 1900 paper. He called it an 7-ic semi-regular figure...
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  • Coxeter–Dynkin diagram, with a single ring on the end of the k-node sequence. Thorold Gosset discovered this family as a part of his 1900 enumeration of the regular...
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  • Arms of the British House of Commons Thorold Gosset (1869–1962), English lawyer and amateur mathematician Ulysse Gosset (born 1955), French journalist and...
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  • 9
    figures in the k21 family of semiregular polytopes, first defined by Thorold Gosset in 1900. 9 is the highest single-digit number in the decimal system...
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  • Thumbnail for 2 21 polytope
    constructed within the symmetry of the E6 group. It was discovered by Thorold Gosset, published in his 1900 paper. He called it an 6-ic semi-regular figure...
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  • 5
    (2): 156–157. doi:10.1007/PL00009338. S2CID 206861928. Zbl 0898.52004. Thorold Gosset (1900). "On the regular and semi-regular figures in space of n dimensions"...
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  • Thumbnail for Triangular prism
    uniform polytope is constructed vertex figure of the previous polytope. Thorold Gosset identified this series in 1900 as containing all regular polytope facets...
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  • Thumbnail for Apeirogonal prism
    can be considered an infinite polyhedron or a tiling of the plane. Thorold Gosset called it a 2-dimensional semi-check, like a single row of a checkerboard...
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  • Thumbnail for Descartes' theorem
    called Soddy's hexlet. Thorold Gosset and several others extended the theorem and the poem to arbitrary dimensions; Gosset's version was published the...
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  • Thumbnail for Gosset–Elte figures
    In geometry, the Gosset–Elte figures, named by Coxeter after Thorold Gosset and E. L. Elte, are a group of uniform polytopes which are not regular, generated...
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  • Thumbnail for Semiregular polytope
    In geometry, by Thorold Gosset's definition a semiregular polytope is usually taken to be a polytope that is vertex-transitive and has all its facets being...
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  • James Garfield (United States President) Antoine Gombaud (essayist) Thorold Gosset (lawyer) Jørgen Pedersen Gram (actuary) Hermann Grassmann (school teacher)...
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  • Thumbnail for 4-polytope
    they have the same kind of face. There are only 3 cases identified by Thorold Gosset in 1900: the rectified 5-cell, rectified 600-cell, and snub 24-cell...
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  • Thumbnail for Schläfli symbol
    polytopes was rediscovered independently by several others. In particular, Thorold Gosset rediscovered the Schläfli symbol which he wrote as | p | q | r | .....
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  • more commonly referred to as a uniform polyhedron (this follows from Thorold Gosset's 1900 definition of the more general semiregular polytope). These polyhedra...
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  • Thumbnail for Rectified 5-cell
    made of two or more cells which are Platonic solids, discovered by Thorold Gosset in his 1900 paper. He called it a tetroctahedric for being made of tetrahedron...
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  • <= 214. Also 1900 (film) or Novecento, 1976 movie. 1900 was the year Thorold Gosset introduced his list of semiregular polytopes; it is also the year Max...
    158 KB (25,935 words) - 11:43, 8 November 2024
  • Thumbnail for 600-cell
    its regular predecessor the 24-cell can be difficult to visualize. Thorold Gosset discovered the semiregular 4-polytopes, including the snub 24-cell with...
    217 KB (28,930 words) - 18:47, 4 November 2024
  • Thumbnail for E8 (mathematics)
    240 vectors are the vertices of a semi-regular polytope discovered by Thorold Gosset in 1900, sometimes known as the 421 polytope. In the so-called even...
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  • Thumbnail for Demihypercube
    halved cube graph. An n-demicube has inversion symmetry if n is even. Thorold Gosset described the demipenteract in his 1900 publication listing all of the...
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  • Thumbnail for Convex uniform honeycomb
    a convex uniform honeycomb in which the cells are zonohedra. 1900: Thorold Gosset enumerated the list of semiregular convex polytopes with regular cells...
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  • Thumbnail for 24-cell
    Koca, Al-Ajmi & Koc 2007. Coxeter 1973, p. 163: Coxeter notes that Thorold Gosset was apparently the first to see that the cells of the 24-cell honeycomb...
    237 KB (31,146 words) - 18:37, 4 November 2024
  • Thumbnail for Dual snub 24-cell
    polytope of the snub 24-cell, a semiregular polytope first described by Thorold Gosset in 1900. The vertices of a dual snub 24-cell are obtained using quaternion...
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  • This honeycomb is last in the series of k21 polytopes, enumerated by Thorold Gosset in 1900, listing polytopes and honeycombs constructed entirely of regular...
    13 KB (804 words) - 21:57, 12 December 2023