Anyway - here's
[2] https://vimeo.com/757057720
and [3] https://vimeo.com/757062988
Yeah, jenn was really rad. It's red meat to me when anyone's working on these kinds of projections.
Since without the proper explanation the whole "concentric spherical section planes" thing is unclear (and actually, they wouldn't be section "planes" in the first place), here's the paper I was referencing:
https://www.academia.edu/129490488/Visualizing_Space_Group_H...
(see pg. 3 for a visual explanation that I hope helps.)
I intersected the objects in the lattice with spheres to create lines, then projected those to the outer sphere and down to the 2d plane. In the same way, you could use concentric hyperspheres to intersect a 3d object serially, then project those intersections back to 3d space...