Fig. 12 | Discrete & Computational Geometry

Fig. 12

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

Fig. 12

The six generic gridlines are tangent to a non-degenerate conic if and only if the \(2\times 2\) grid of quadrilaterals admits a 1-parameter family of touching inscribed conics. Among the 1-parameter family of touching inscribed conics, there is one instance of touching inscribed conics such that the tangency points satisfy some non-trivial collinearities which are represented by the dotted lines

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