Please tell me if you do not have the time to help with this. I default here to this forum, but there are other resources I can dig into.
Other than recognizing the language you used is English, that is about all I get from that! :-) But seriously, since I do not see a cube in your drawing you posted, I do not see how you "morphed from cube to sphere parametrically." OR... it would not surprise me to find I am missing something else unknown to me. What I can observe: 1.) larger spheres that are intersected together. 2.) same spheres manipulated somehow for less amplitude and/or size. 3.) same spheres exploded or otherwise manipulated for panels. The Panels are exactly what I need, but I will need to show a progression from cube to "sphere-like" panel sections in steps - probably more than 3 steps. I would guess since I believe others in my class are doing it in around 8 steps (guessing).
FYI in explanation: There are a few requirements. This is/will be a mock building, all glass 5 sides (6th is flat floor), with double front doors. ((I know... this is Hansel and Gretal architecture, but I can't help the assignment. I just have to do the thing.)) I will show some sort of support structure (not engineered) for the glass panels and I can probably do that after the thing is morphed to its final shape of panels. The panels will all be ruled surfaces. All this means I would use only the upper (3/4?) of the unit because the floor is flat. In any event, it morphs from 32' x 32' x 32' cube to final state with (very roughly) equal volume. Panels have to be something one would expect to see for reasonable panel sizes - again, not engineered, but for example, 8' x 16' glass panels probably would not qualify. Of course the edges of what was once the cube would be made of triangles or other polygons, or they might disappear into the sphere assembly. If I understand the assignment, the field panels can be rectangular or modified rectangles where needed.
I will bet that I will NEVER use this information once I am working as an architect!! BUT, I must satisfy the course requirements silly as they are.
thanks for the help if you can. If you can't, thanks anyway for reading! :-)