Fig. 14 | Discrete & Computational Geometry

Fig. 14

From: Nets of Lines with the Combinatorics of the Square Grid and with Touching Inscribed Conics

Fig. 14

Suppose that each of the quadrilaterals \(Q_{1,1},Q_{1,2},Q_{1,3},Q_{2,1},Q_{2,2},Q_{2,3},Q_{3,1},Q_{3,2}\) is equipped with an inscribed conic such that, for any two neighbouring quadrilaterals, the inscribed conics are touching. Then, \(Q_{3,3}\) admits an inscribed conic that touches the two conics that are inscribed in \(Q_{3,2}\) and \(Q_{2,3}\). By Corollary 4.3, the eight lines are tangent to a conic

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