The block can be cut to an octagon to make the turning quicker
The assembly is turned to a cylinder. Its diameter fixes the ellipse minor axis
The 35° wedge is removed, but the other one is left. The ellipses on "bowl" and "stalk" are joined.
View from the other end. The faceplate is still fixed to the bowl
The assembly is mounted on the lathe. The angle of the wedge needs to change
View from the headstock end