The 36 slices just as they are will form a perfect sphere.
No, I'm afraid not.
Of course it looks perfect in your model layout. However, look very closely at that slice when brought in for 3-axis machining.
You will see the curvature becomes a straight vertical wall at the point at which the bottom curvature becomes an undercut. Actually, this takes place during the import process UNLESS you opt to center the slice model's position in the material and choose to create both sides.
As you have it now in the software, it's such a tiny flat spot on the curvature, the parts could just be glued together anyway then sanded to blend all the flat spots.
Other issues could be how to achieve the "knife edge" along the tapered end of the wedge without chipping and to secure the parts during carving. Tabs are an option - just more sanding. Perhaps vacuum hold-down if done carefully. Maybe best would be CA glue and masking tape technique.
I don't think there is any way to avoid chipout on the knife edge. Most of that would be hidden inside the sphere, but could be visible as tiny gaps on the top and bottom of the sphere.
It's an interesting concept, and will be even moreso if anyone actually tries it.
My model never goes to an undercut situation. The flat area around the perifery is not a result of that. Also I did not import the model, I created it with a 2 rail sweep in aspire.
The bottom surface is flat against the table and the curve of the sphere starts from that point. Basically, the spherical curve is 90 degrees to the table at that point. At ALL points on a curve, a line drawn from center WILL be normal to the surface - 90 degrees to the curve. The table is 180 degrees and the wedge is 170 degrees as measured from center.
The model is correct. The toolpath, or the graphical representation of the toolpath is what is showing as flat.
I know that as we get the walls closer to vertical, the software starts to falter. I think that is where the problem is.
I may just try cutting this out this weekend to see what happens. Double sided tape may hold it, I don't have vacuum.
I don't have much faith in the knife edge.
If this is even close to working, perhaps a 22.5 degree wedge may be more appropriate.