• Thumbnail for Delone set
    discrete sets, relatively dense sets, and Delone sets (named after Boris Delone) are several closely related definitions of well-spaced sets of points...
    11 KB (1,241 words) - 20:18, 8 January 2025
  • space-filling polyhedron, defined as the Voronoi cell of a symmetric Delone set. Three-dimensional Euclidean space can be completely filled by copies...
    11 KB (1,293 words) - 19:12, 6 December 2022
  • within distance ε of each other. A set that is both relatively dense and uniformly discrete is called a Delone set. When X is a subset of a vector space...
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  • Thumbnail for Delaunay triangulation
    In computational geometry, a Delaunay triangulation or Delone triangulation of a set of points in the plane subdivides their convex hull into triangles...
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  • Borisovich Delone (1926–2008), Soviet physicist William H. DeLone Delone Catholic High School All pages with titles containing Delone Delone set Delaunay...
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  • Thumbnail for Boris Delaunay
    Boris Delaunay (redirect from Boris Delone)
    Boris Nikolayevich Delaunay[pronunciation?] or Delone (Russian: Бори́с Никола́евич Делоне́; 15 March 1890 – 17 July 1980) was a Soviet and Russian mathematician...
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  • Thumbnail for Lattice (group)
    and maximum distance can be summarized by saying that a lattice is a Delone set. More abstractly, a lattice can be described as a free abelian group of...
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  • Thumbnail for Supersampling
    to generate Poisson disk noise, even those with variable density. The Delone set provides a mathematical description of such sampling. A modification of...
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  • the Fermat spiral (as they are in some models of plant growth) form a Delone set; intuitively, this means that they are uniformly spaced. In music theory...
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  • Thumbnail for Cube
    space-filling polyhedron that can be defined as the Voronoi cell of a symmetric Delone set. The plesiohedra include the parallelohedra, which can be translated without...
    62 KB (6,316 words) - 02:11, 22 May 2025
  • Thumbnail for Truncated octahedron
    plesiohedron, meaning it can be defined as the Voronoi cell of a symmetric Delone set. Plesiohedra, translated without rotating, can be repeated to fill space...
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  • 09471v1 [math.MG] Abdelkader, Ahmed; Mount, David M. (2018), "Economical Delone Sets for Approximating Convex Bodies", 16th Scandinavian Symposium and Workshops...
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  • Thumbnail for Danzer set
    (in order to touch all circles of unit area), so it would form a Delone set, a set with both lower and upper bounds on the spacing of the points. It...
    10 KB (1,283 words) - 20:32, 19 September 2024
  • Thumbnail for Farthest-first traversal
    are the two defining properties of a Delone set, so each prefix of the farthest-first traversal forms a Delone set. Rosenkrantz, Stearns & Lewis (1977)...
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  • proved that the regularity of a system of points, an (r, R) system or Delone set, can be established by postulating the points' congruence within a sphere...
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  • zero set of a cubic form. In the case of a cubic form in three variables, the zero set is a cubic plane curve. In (Delone & Faddeev 1964), Boris Delone and...
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  • structure. It models the arrangement of atoms in a substance by a Delone set, a set of points in the plane or in Euclidean space that are neither too...
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  • are called plesiohedrons, defined as the Voronoi cells of a symmetric Delone set. Parallelohedrons are plesiohedra which are space-filling by translation...
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  • Thumbnail for Delaunay tessellation field estimator
    The Delaunay tessellation field estimator (DTFE), (or Delone tessellation field estimator (DTFE)) is a mathematical tool for reconstructing a volume-covering...
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  • Thumbnail for Monophony
    as the cantatas of Johann Sebastian Bach. See Voicing (music)#Doubling DeLone more loosely defines monophony as "passages, movements, or sections in which...
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  • Thumbnail for Macbeath region
    Palermo. 65: 21–38. Abdelkader, Ahmed; Mount, David M. (2018). "Economical Delone Sets for Approximating Convex Bodies". 16th Scandinavian Symposium and Workshops...
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  • Thumbnail for Wigner–Seitz cell
    American Mathematical Society. Archived from the original on 2019-01-03. Delone, B. N.; Galiulin, R. V.; Shtogrin, M. I. (1975). "On the Bravais types of...
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  • Amy deLone (born October 8, 1968) is a former professional tennis player from the United States. Growing up in Lincoln, Massachusetts, deLone attended...
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  • Lone (surname) (category All set index articles)
    de Lone (born 1956), American musician Erika deLone (born 1972), American tennis player William H. DeLone (born 1946), American organizational theorist...
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  • Thumbnail for Viennese trichord
    Viennese trichord (category Musical set theory)
    Theoretical and Philosophical Perspectives, p. 62. ISBN 9781409404163. DeLone, Richard, et al (1975). Aspects of 20th Century Music, p. 348. Englewood...
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  • Thumbnail for Gosset graph
    Therefore, this graph is an integral graph. Grishukhin, V. P. (2011), "Delone and Voronoĭ polytopes of the root lattice E7 and the dual lattice E7*",...
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  • Erika (given name) (category All set index articles)
    the Japanese national team Erika Alarcón, Paraguayan roller skater Erika deLone, (born 1972), retired American professional tennis player Erika Doornbos...
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  • Thumbnail for Focal plane tomography
    ISBN 978-0702028441. Lane, John I.; Lindell, E. Paul; Witte, Robert J.; DeLone, David R.; Driscoll, Colin L. W. (January 2006). "Middle and Inner Ear:...
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  • 1995, p. 513. Oster 1960. Katz 1945. Perle 1962, p. 31. Perle 1962, p. 1. DeLone and Wittlich 1975, pp. 362–372. Perle 1962, pp. 9–10. Swift 1982–83, p. 272...
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  • The Neighborhood (TV series) (category Television shows set in Pasadena, California)
    production commitment. The pilot was written by Jim Reynolds who was also set to executive produce alongside Aaron Kaplan, Dana Honor, and Wendi Trilling...
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