We add to Inside-out dissections of polygons - a generalization. The inside-out (fully inside-out) dissections are defined on pages linked there.
How does one inside-out dissect a tetrahedron into some polyhedron of same volume, not necessarily a tetrahedron, using the least number of intermediate pieces that are themselves polyhedrons?
Same question as 1 with inside-out replaced by 'fully inside-out'.
Guess: If a polyhedron P can be dissected into another polyhedron P' with same volume (the possibility is captured by Dehn invariant), then there are both inside-out and fully inside-out dissections of P to P'.
