 This paper deals with the following separability problem in 3D space: Given a rigid polyhedron P with n vertices , does a semi-rigid polyhedron G exist, such that both polyhedra can be transformed into an inseparable assembled state, where the fixture snaps on to P, by applying a linear force and exploiting the mild flexibility of G? If such a flexible snapping polyhedron exists, devise an efficient and robust algorithm that constructs it. In simple words, we are looking for s semi-rigid polyhedron G, such that when P and G are separate , we can push G towards P , slightly bending  G on the way  , and obtain a configuration, where G is back in its original shape , and both P and G are inseparable as rigid bodies.
<meaning-changed>  This paper deals with the following separability problem in 3D space: Given a rigid polyhedron P with n vertices , does a semi-rigid polyhedron G exist, such that both polyhedra can be transformed into an inseparable assembled state, where the fixture snaps on to P, by applying a linear force and exploiting the mild flexibility of G? If such a flexible snapping polyhedron exists, devise an efficient and robust algorithm that constructs it. In simple words, we are looking for s semi-rigid polyhedron G, such that when P and G are separate , we can push G towards P , slightly bending  G on the way  , and obtain a configuration, where G is back in its original shape , and both P and G are inseparable as rigid bodies.
 This paper deals with the following separability problem in 3D space: Given a rigid polyhedron P with n vertices , does a semi-rigid polyhedron G , made of a palm and several fingers, such that when P and G are separate , we can push G towards P , slightly bending G on the way , and obtain a configuration, where G is back in its original shape , and both P and G are inseparable as rigid bodies.