We explore the minimal characteristic two parabolic geometries for the finite sporadic simple groups, as introduced by Ronan and Stroth. The chamber graphs of the geometries are studied, with the aid of Magma, focusing on their disc structure and geodesic closures. For the larger sporadic geometries which are beyond computational reach we give bounds on the diameter of their chamber graphs.
"Chamber graphs of minimal parabolic sporadic geometries." Innov. Incidence Geom. Algebr. Topol. Comb. 18 (1) 25 - 37, 2020. https://doi.org/10.2140/iig.2020.18.25