You make a mighty fine styled cue, but I gotta say, why cut corners and not do sharp points on the veneers?
From what I see the points are pretty sharp? I think you're referring to the black paper showing in some of the coloured veneers. These points are done using overlapping technique and some of the coloured veneers might not have been tight enough so the black paper sort of "bled" through.
All in all it's still a beautiful cue altogether with some nice design elements.