Empty Triangles in Generalized Twisted Drawings of $$K_n$$

Simple drawings are of graphs in the plane or on sphere such that vertices distinct points, edges Jordan arcs connecting their endpoints, and intersect at most once (either a proper crossing shared endpoint). generalized twisted if there is point O every ray emanating from crosses edge drawing which exactly once. We show all $$K_n$$ contain $$2n-4$$ empty triangles, by this making substantial step towards proving conjecture case for simple .