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  • Danzer's configuration revisited
    Boben, Marko ; Gévay, Gábor ; Pisanski, Tomaž
    We revisit the configuration of Danzer ▫$DCD(4)$▫, a great inspiration for our work. This configuration of type ▫$(35_4)$▫ falls into an infinite series of geometric point-line configurations ... ▫$DCD(n)$▫. Each ▫$DCD(n)$▫ is characterized combinatorially by having the Kronecker cover over the Odd graph ▫$O_n$▫ as its Levi graph. Danzer's configuration is deeply rooted in Pascal's Hexagrammum Mysticum. Although the combinatorial configuration is highly symmetric, we conjecture that there are no geometric point-line realizations with 7- or 5-fold rotational symmetry; on the other hand, we found a point-circle realization having the symmetry group ▫$D_7$▫, the dihedral group of order 14.
    Vir: Advances in geometry. - ISSN 1615-715X (Vol. 15, iss. 4, 2015, str. 393-408)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2015
    Jezik - angleški
    COBISS.SI-ID - 17492569

    Povezava(-e):

    http://dx.doi.org/10.1515/advgeom-2015-0019

vir: Advances in geometry. - ISSN 1615-715X (Vol. 15, iss. 4, 2015, str. 393-408)
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