>>544706What do you mean by how many Points? If you mean how high can a lateen rig can point, it depends on a lot more than just the fact that it is a lateen rig.
As for gaff vs "that wierd triangle sail"
Gaff rigs are mostly on older styled boats. The boat in OP's picture is just a typical bermuda/marconi rigged sloop. Most modern boats are rigged this way, largely due to new materials, like dacron, the most common material for sails nowadays, along with other high performance materials like kevlar, mylar, and carbon. The old cotton sails would need a gaff to have proper sail shape, but nowadays with modern sails and full fiberglass or carbon battens, a bermuda rig is more advantageous in most circumstances. For example, becaus gaff rigs generally have a more square shape, a bermuda rig with the same sail area will be taller have a higher aspect ratio, which helps upwind performance. Gaff rigs also put more weight aloft, due to all the shit that's up there controlling the gaff, wich leads to instability (although making a rig taller, as is the case with a bermuda rig, will make a boat unstable, but that can be accounted for by using modern materiels for the mast like aluminum or carbon). Bermuda rigs also tend to have a very small amount of sail area way up high due to the triangle shape, but once again modern technology has allowed the creation of square-top mains like in pic related that maximize sail area and roach size up high on the sail for a given mast height.
tl;dr: Modern materials and technology have made Bermuda rigs the preferred modern style over gaff rigs
