Made a triangular pyramid.
Used nested G2 blends of half arcs.
The tiny center curved red triangle is with network which may be a bit distorted.
Is there an easier way?

Hi Brian, you might try something more like - draw in a profile curve:



Revolve that with "Cap ends" off to make a rounded surface like this:



Select the pyramid and use Boolean difference with that revolved surface as the cutting object - that will chop off the point of the pyramid which you can delete:



Now the rounded surface is imprinted into the tip and to make it be connected smoothly to the side faces select the top face:



And then use Construct > Fillet to make smooth connection pieces:



So basically try to more directly model the rounded tip shape and let it be initially sharp where it hits the pyramid, then use filleting to smooth it.

- Michael

Thank you Michael.