Grünbaum's rank-two self-dual configuration conjecture

A self-dual geometric configuration is a geometric configuration equipped with a duality mapping its points and lines to one another; its rank is the order of the self-duality. Grünbaum's conjecture. Every self-dual geometric configuration of rank 22 has a realization such that its polar in a suitable circle is congruent to the original configuration. This concerns the relationship between combinatorial self-duality and geometric self-polarity; the source cites it in connection with the rank-two, reflexibly self-reciprocal configuration B(214)\mathrm B(21_4), and no resolution is given here.

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Primary source

Leah Wrenn Berman, Gábor Gévay and Tomaz Pisanski, “On a new (21_4) polycyclic configuration”, arXiv:2309.12992 (2023).

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