robinhoustonI don't remember coming across the Heptagon Numbers before. Very nice!
Michael Kinyon@robinhouston Steinbach wrote a follow up a few years later. Toward the end, he mentions a problem with rational approximants he wasn't able to resolve.
https://archive.bridgesmathart.org/2000/bridges2000-35.html#gsc.tab=0
@ProfKinyon IIUC he says he does not know whether this pattern continues. But that's not exactly about rational approximants: are you alluding to something else?
@robinhouston I was referring to the (somewhat vague) discussion starting on p. 42 and ending at the top of the next page. I actually missed the sentences on p. 38 where he talks about the uniqueness of optimally proportional sections. I admit I haven't read the paper carefully.