Configurations of 2 n - 2 Quadrics in Rn with 3 · 2 n-1 Common Tangent Lines

Research paper by Megyesi

Indexed on: 01 Aug '02Published on: 01 Aug '02Published in: Discrete & Computational Geometry


We construct 2n-2 smooth quadrics in Rn whose equations have the same degree 2 homogeneous parts such that these quadrics have 3⋅ 2n-1 isolated common real tangent lines. Special cases of the construction give examples of 2n-2 spheres with affinely dependent centres such that all but one of the radii are equal, and of 2n-2 quadrics which are translated images of each other.