Abstract: Various methods are provided for organizing multiple geometric parts forming an object in 3D voxel data and/or for permitting a user to detach and/or reattach these parts. In one embodiment, the 3D voxel data are organized in two steps. First, a part voxel set is created for each geometric part. Second, a master XZ table is created, which defines geometric locations within multiple part voxel sets based on references. A method allows a user to detach and/or reattach parts in five steps: (a) receiving a user request to detach a first geometric part; (b) retrieving a first part voxel set defining the first geometric part; (c) rendering the first geometric part; (d) updating the master XZ table by replacing references to the first part voxel set with new references; and (e) rendering the rest of the object based on the updated master XZ table.