Narodna in univerzitetna knjižnica, Ljubljana (NUK)
Naročanje gradiva za izposojo na dom
Naročanje gradiva za izposojo v čitalnice
Naročanje kopij člankov
Urnik dostave gradiva z oznako DS v signaturi
  • Systematic celestial 4-configurations
    Berardinelli, Angela ; Berman, Leah
    Celestial 4-configurations are a class of highly symmetric geometric configurations of points and lines in the plane in which 4 points lie on each line and 4 lines pass through each point (that is, ... they are ▫$(n_4)$▫ configurations). The set of isometries of the plane that map a configuration to itself (that is, the symmetries of the configuration) partition the points into orbits, called the symmetry classes of points, and likewise the symmetries of the configuration partition the lines into orbits as well, forming the set of symmetry classes of lines. Celestial 4-configurations have the property that two lines from each of two symmetry classes of lines pass through each point, and two points from each of two symmetry classes of points lie on each line; a celestial 4-configuration with ▫$k▫$ symmetry classes is called ▫$k$▫-celestial. Celestial configurations may be classified as being trivial, systematic, or sporadic. Previously, three non-trivial classes of 3-celestial 4-configurations were known. This paper presents a number of new systematic families of celestial 4-configurations, including 16 new 3-celestial families, four 4-celestial families, and three classes of ▫$h$▫-celestial configurations for infinitely many values of ▫$h$▫, although it does not provide a complete classification.
    Vir: Ars mathematica contemporanea. - ISSN 1855-3966 (Vol. 7, no. 2, 2014, str. 361-377)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2014
    Jezik - angleški
    COBISS.SI-ID - 17062745

vir: Ars mathematica contemporanea. - ISSN 1855-3966 (Vol. 7, no. 2, 2014, str. 361-377)

loading ...
loading ...
loading ...