Characterizes intersection numbers of twisted triality hexagons in projective geometry, indicating conditions for line set formation.
In this paper, we study and characterise the natural embedding of the twisted triality hexagon in . We begin by describing the possible intersections of subspaces of with . Then, we provide conditions on a set of lines , which ensure that forms the line set of a naturally embedded twisted triality hexagon. This work follows up on similar results for the split Cayley hexagon by J. A. Thas and H. Van Maldeghem (2008) and F. Ihringer (2014).
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Petit et al. (2026) studied this question.
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