Grünbaum's rank-two self-dual configuration conjecture
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 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 , and no resolution is given here.
Sources & referencesView supporting material
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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