> I definitely want to make some better tools for making single segment symmetrical stuff like this easier though

That would most certainly be welcome. However, learning to construct models correctly in the first place seems to be a better learning method ;).

One last question related to this shape. Would it be possible to construct a base shape which would allow the construction of a 4 sided pyramid? In this case, the base needs 3 edges instead of 4, complicating the matter somewhat.

The curvature of the base shape is correct, but the amount of edges is not.



EDIT: never mind, managed to figure it out by intersecting a sphere with the old shape and using that base to construct the entire pyramid.