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  • Constructions for large spatial point-line ▫$(n_k)$▫ configurations
    Gévay, Gábor
    Highly symmetric figures, such as regular polytopes, can serve as a scaffolding on which spatial ▫$(n_k)$▫ point-line configurations can be built. We give several constructions using this method in ... dimension 3 and 4. We also explore possible constructions of point-line configurations obtained as Cartesian products of smaller ones. Using suitable powers of well-chosen configurations, we obtain infinite series of ▫$(n_k)$▫ configurations for which both ▫$n$▫ and ▫$k$▫ are arbitrarily large. We also combine the method of polytopal scaffolding and the method of powers to construct further examples. Finally, we formulate an incidence statement concerning a ▫$(100_4)$▫ configuration in 3-space derived from the product of two complete pentalaterals; it is posed as a conjecture.
    Vir: Ars mathematica contemporanea : special issue Bled'11 (Vol. 7, no. 1, 2014, str. 175-199)
    Vrsta gradiva - prispevek na konferenci ; neleposlovje za odrasle
    Leto - 2014
    Jezik - angleški
    COBISS.SI-ID - 16796761

vir: Ars mathematica contemporanea : special issue Bled'11 (Vol. 7, no. 1, 2014, str. 175-199)

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