or maybe it's just math lessons I need 
if a tip is starts off at say 12mm, and is 58" long, and had a true conical taper, with no straight sections anywhere on the cue, wouldn't the dimensions be the same on any 12mm 58" cue, from top to bottom?
and if so, how could I figure out what those dimensions would be, at different sections on the cue?

if a tip is starts off at say 12mm, and is 58" long, and had a true conical taper, with no straight sections anywhere on the cue, wouldn't the dimensions be the same on any 12mm 58" cue, from top to bottom?
and if so, how could I figure out what those dimensions would be, at different sections on the cue?