I'd like to do computations with incidence matrices of abstract polytopes. There's a database mentioned in this older post :
what abstract regular polyhedra exist?
but I don't see extract the incidence matrices from what's provided. I can find vertix-edge graphs for a number of cases, but I need the full relations (vertix-edge, edge-face,...). Are there any software packages (for GAP, Sage, ...) that have such a database and some utilities to work with it? Even a small set of familiar examples (paltonic solids,...) would be good to start with.
The incidence matrices in its generality, i.e. way beyond the regular solids only, is essentially my own elaboration. You might be welcome to look into my website at https://bendwavy.org/klitzing/home.htm which provides to my knowledge the most encompassing list of elaborated incidence matrices, even if all those have been worked out manually in the sequel of half a lifetime.
--- rk