The tetrahedron of the economy

A cube contains two embedded tetrahedrons, one left-handed and one right-handed. The corners of one tetrahedron are, in order, “me, “you”, “mine” and “yours”, while the corners of the other tetrahedron are “not me”, “not you”, “not mine” and “not yours”. Each face of the cube contains two elements from one tetrahedron and two elements from the other, such that one face is coded “me”, “mine”, “not you”, not yours” and the opposite face is coded “not me”, “not mine”, “you”, “yours”. Rotation of the cube permutes the corners, while retaining their ordered relationships, so what is mine can become yours as what is yours becomes mine.

180 degree rotation of the cube from the face “me”, “mine”, “not you”, not yours” to “not me”, “not mine”, “you”, “yours” codes a one-step transfer of ownership. Three 120 degree rotations of the cube about opposed axes transfers ownership stepwise through transition (entangled) states.