Grünbaum's classification conjecture for simplicial line arrangements

A simplicial arrangement of straight lines is an arrangement of lines in the real projective plane whose regions are simplices. The conjectured catalogue consists of three infinite families and $90$ listed sporadic arrangements.

Grünbaum's classification conjecture. There are no simplicial arrangements of straight lines besides the three infinite families and $90$ sporadic arrangements listed in Grünbaum's catalogue.

The paper reports further simplicial arrangements that disprove this conjecture, so the claim is refuted. A complete classification of simplicial arrangements is still described as an open problem.