I did a CAD drawing last night and it would appear that a straight taper would work just fine.
These are the sections of a tent pole. One was issued with each triangle and when the 4 are put together, the tent is pyramid shaped and the 4 poles hold up the middle of the tent.
As specified the poles were quite wobbly. After field usage, the wooden point wears down into a short taper. This seats the poles sections together and they can be quite difficult to get apart.
I drew the two ends with an assumed field taper and as specified.