I found the easiest way to make a good point is to make your wood round to the diameter you want it then, instead of cutting on an angle, I cut straight down several times untill there is sort of a dowel on the bottom of the wood, about 1/4' long. then , at this point , cut down hill from the dowel down to the tip for as long as you want the tip to be.
I saw a few devices that look easy enough to make to throw tops with a string but never cared to make any. I usually turn some small dishes with flat bottoms for some younger kids so they can contain the tops better than throwing on the table.The key for success is to spin on a level surface. Mitch