On 18/07/2020 20:20, Keith F. Lynch wrote: [me:]
The number of _distinct points_ they produce can be less when more than two edges meet at a point.
[Keith:]
As a computer guy, I've always been comfortable with the idea that two points can be in the same place. Apparently mainstream mathematicians don't think that way.
Oh, they often do. The usual magic words for that situation are "by multiplicity" or sometimes "with multiplicity".
What's needed is a way to look at every possible arrangement of n points. By "arrangement" I don't mean the uncountable infinity of possible locations of points in the unit square, I mean a difference that makes a difference. ... How would one go about enumerating all arrangements?
This looks relevant: http://www.ist.tugraz.at/staff/aichholzer/research/rp/triangulations/orderty... -- g