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Configurations of points and conics


  • Gábor GÉVAY

Primary authors



A geometric con figuration of type (p_q,n_k) is an incidence structure consisting of p points and n "blocks" such that each point is incident with q blocks and each block is incident with k points. The "blocks" can be different geometric figures such as lines, circles, conics, etc. The first known geometric confi gurations originate from classical incidence theorems such as the theorems of Pappus, Desargues, Miquel and Clifford.

In this talk we present examples of point-conic confi gurations, among them, some infi nite classes, too. We discuss some relationships with other types of geometric con figurations, as well as some open problems.