lakeroadster
When in doubt... build hell-for-stout!
I'm happy that works for you, but I don't understand. How could there possibly not be a corner?
View attachment 562112
EDIT: Here is is with a parabolic tip (fit by trial and error):
View attachment 562123
Eazy Peazy Joe. Just move the ellipse back until the conical portion meets the tangent of the ellipse.