hi, i am quite new to Maya...
so can you tell me how to cut the 1 edge loop and open up on polygon sphere mesh like creating a eyelid model without affecting number of verts, edges, faces, tris and uvs and duplicating to another model that same no. of verts, edges and faces, tris and uvs as original polygon sphere that have not been cut or modified?

splitting faces and cutting faces cannot solve this problem cos they do increasing the edges, faces, verts.
Any suggestions on this?