I think I did get your point. There are differences in weight/volume with planar cuts. (And the diffs are small for thin shells and get bigger for thick shells.)
But these differences go away *completely* with the conic cuts.
I think I did get your point. There are differences in weight/volume with planar cuts. (And the diffs are small for thin shells and get bigger for thick shells.)
But these differences go away *completely* with the conic cuts.
With a thin shell the slopes of the slicing surfaces are negligible.
With a thicker shell (outer diameter D and inner diameter d) such a surface should have a slope such that the outer edges have vertical distance D/n and the inner edges have vertical distance d/n. Thus a slicing surface is a part of a cone with its apex at the center of the spheres. This way the slices should have the same weight again.
Edit: Ok, I was too slow. You already wrote essentially the same.