@wlavin,
Totally OT though it be, Vin, but stimulated curiosity as to what might be the right word for "conical but having blunt tip"
http://able2know.org/topic/212084-1#post-5297617
Your q however isn't at all trivial so I went out to my workshop, viewing all my tools racked up above my workbench, with no luck
One might use a grinder for the purpose though the result might lack symmetry. But then I consulted my Better Half, who is much smarter than I, and she suggested using a pencil sharpener. Flat out brilliant!