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We add to Inside-out dissections of polygons - a generalization. The inside-out (fully inside-out) dissections are defined on pages linked there.

  1. 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?

  2. 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'.

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