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  • ==Configurations== The [[Levi graph]]s of [[Configuration (geometry)|geometric configuration]]s are biregular; a biregular graph is the Levi gr ...
    4 KB (541 words) - 00:53, 25 November 2020
  • In mathematics, '''Danzer's configuration''' is a self-dual [[configuration (geometry)|configuration]] of 35 lines and 35 points, having 4 points on each line an ...s the [[Desargues configuration]] (10<sub>3</sub>). In {{sfnp|Gévay|2018}} configurations DCD(n) were further generalized to the unbalanced <math> (\tbinom {n}{d}_d, ...
    4 KB (531 words) - 22:17, 12 May 2024
  • In [[geometry]], a '''Sylvester–Gallai configuration''' consists of a finite subset of th Instead of defining Sylvester–Gallai configurations as subsets of the points of a projective space, they may be defined as abst ...
    8 KB (1,132 words) - 10:07, 18 August 2023
  • ...geometry)|configuration]] of 12 [[Point (geometry)|points]] and 16 [[Line (geometry)|lines]]. ...lines, and each line contains three points. Therefore, in the notation of configurations, the Reye configuration is written as {{math|12{{sub|4}}16{{sub|3}}}}. ...
    7 KB (998 words) - 19:16, 4 December 2023
  • In geometry, the '''Perles configuration''' is a system of nine points and nine lines i ...uches equally many points. However, despite being named similarly to these configurations, the Perles configuration is not regular: most of its points touch three li ...
    7 KB (944 words) - 20:12, 12 October 2024
  • | Face_List=12 [[Square (geometry)|{4}]] ...t polytope|abstract]], [[regular 4-polytope]], containing half the [[cell (geometry)|cells]] of a [[tesseract]], existing in [[real projective space]], '''RP'' ...
    4 KB (510 words) - 11:23, 3 September 2024
  • *{{Citation | last1=Goncharov | first1=A. B. | title=Geometry of configurations, polylogarithms, and motivic cohomology | doi=10.1006/aima.1995.1045 | doi- *{{Citation | last1=Zagier | first1=Don | title=Arithmetic algebraic geometry (Texel, 1989) | publisher=Birkhäuser Boston | location=Boston, MA | series= ...
    2 KB (204 words) - 06:33, 12 May 2024
  • {{Short description|Abstract geometry without 2-point lines}} ...may be interpreted either as Steiner triple systems or as Sylvester–Gallai configurations. ...
    4 KB (557 words) - 02:58, 23 December 2024
  • ...ry, the '''Grünbaum–Rigby configuration''' is a symmetric [[Configuration (geometry)|configuration]] consisting of 21 points and 21 lines, with four points on ...ear=1990|txt}}. Their paper on it became the first of a series of works on configurations by Grünbaum, and contained the first published graphical depiction of a 4-c ...
    8 KB (1,106 words) - 18:41, 10 December 2023
  • ...]]: each [[Vertex (geometry)|vertex]] of one tetrahedron lies on a [[Face (geometry)|face]] plane of the other tetrahedron and vice versa. Thus, for the result ...|Hilbert|Cohn-Vossen|1952}} state (without references) that there are five configurations having eight points and eight planes with four points on every plane and fo ...
    12 KB (1,671 words) - 19:15, 17 November 2023
  • ...nts <math>C</math>and <math>H</math>are shared. The triangles that make up configurations are known as component triangles.<ref name=":0" /> Triangles must not only [[Category:Geometry]] ...
    6 KB (1,010 words) - 22:53, 2 April 2021
  • ...em''' is a result in the intersection of [[combinatorics]] and [[algebraic geometry]] used to represent [[algebraic manifold|algebraic]] (or [[semialgebraic se Informally it can also be understood as the statement that point configurations of a fixed combinatorics can show arbitrarily complicated behavior. ...
    8 KB (1,072 words) - 18:23, 8 December 2024
  • ...exateric honeycomb''' is a space-filling [[tessellation]] (or [[honeycomb (geometry)|honeycomb]]). It is composed of [[5-simplex]], [[truncated 5-simplex]], an ...igure]] is an elongated 5-cell antiprism, two parallel [[5-cell]]s in dual configurations, connected by 10 tetrahedral pyramids (elongated 5-cells) from the cell of ...
    3 KB (419 words) - 21:04, 3 June 2017
  • ...athematics, the '''Cremona–Richmond configuration''' is a [[configuration (geometry)|configuration]] of 15 lines and 15 points, having 3 points on each line an The Cremona–Richmond configuration is [[Duality (projective geometry)|self-dual]]: it is possible to exchange points for lines while preserving ...
    10 KB (1,380 words) - 09:02, 29 January 2022
  • In [[geometry]], [[H. S. M. Coxeter]] called a [[regular polytope]] a special kind of ''' ...ry)|configurations]] in geometry are something different. These ''polytope configurations'' may be more accurately called [[incidence matrix|incidence matrices]], wh ...
    11 KB (1,449 words) - 07:08, 8 April 2024
  • ...e]]s and [[quadric]]s. These surfaces have applications in [[architectural geometry]] and [[computer-aided geometric design]] (CAGD).<ref name="arxiv1"/><ref n ...distinct categories: [[sphere]]-like surfaces, [[torus]]like surfaces, and configurations consisting of two spheres.<ref name="arxiv1"/> ...
    5 KB (688 words) - 12:45, 13 January 2025
  • ...aces is governed by temperature, surface [[emissivity]] properties and the geometry of the surfaces. The relation for heat transfer can be written as an [[inte ...ry of the enclosure and its surface properties. Kernel function depends on geometry of the body. ...
    6 KB (1,008 words) - 15:47, 4 October 2024
  • ...he waveform is transformed into a vector where the phase is [[Translation (geometry)|translated]] to the angle between the phasor vector and X-axis and the amp ==Compatibility to different gate configurations== ...
    10 KB (1,540 words) - 18:07, 1 December 2024
  • ...affine plane''', is a special kind of a [[hypergraph]] or [[Configuration (geometry)|geometric configuration]] that is constructed in the following way.<ref na ...a projective plane is a self-dual configuration, the [[Duality (projective geometry)|dual]] configuration of an affine plane is obtained from a projective plan ...
    9 KB (1,323 words) - 23:28, 10 February 2022
  • | developer = Visual Geometry Group ...series of [[convolutional neural network]]s (CNNs) developed by the Visual Geometry Group (VGG) at the [[University of Oxford]]. ...
    9 KB (1,209 words) - 23:09, 10 October 2024
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