On the coincidences of Pascal lines - Jaydeep Chipalkatti

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    On the coincidences of Pascal lines - Jaydeep Chipalkatti

    We show that ψ has two irreducible components: a five-dimensional component of sextuples in involution, and a four-dimensional component of what will be called `ricochet configurations'. This gives a complete synthetic characterization of points in ψ. The proof relies upon Gröbner basis techniques to solve multivariate polynomial equations; the implementation was done in two distinct computer algebra systems.

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