TITLE: Does there exist a curve of degree 11 having 15 triple points?
QUESTION [19 upvotes]: Does there exist an irreducible curve of degree 11 in the projective plane which would have 15 triple points? 
For information, such a curve would be rational, if it exists, and would be smooth at all other points (compute the genus with the classical formula: $(d-1)(d-2)/2-\sum a_i(a_i-1)/2=45-3\cdot 15=0$)

REPLY [3 votes]: This seems to be study in this paper by O. Dumitrescu (which I did not read in detail, but it seems quite algorithmic).