Parallelepiped Lego

thingiverse

Just because a polyhedron can tile 3D space, it doesn't mean you should attempt to turn it into a Lego piece. This is a technical print, and the final pieces are extremely challenging to build with. Printing this will likely be an infuriating waste of your time. Don't say I didn't warn you. If you have some spare time and energy to squander, print two of the "Parallelepiped (half)" models and one of the "Connector" files for each piece. The connector piece fits between the halves to ensure that the faces align perfectly. Print without a brim if possible to minimize excess material getting in the way. As with any construction objects, print at high quality as possible and expect to do some post-print finishing for a flawless fit. The above models were printed using a 0.4 mm nozzle at 0.1 mm layer height. The parallelepiped is essentially an octahedron with two tetrahedrons attached to opposite faces, so the tiling is based on the octahedron and tetrahedron pattern found in an isotropic vector matrix. On a technical note, the hole and nub are offset 0.1 mm from the center point of the triangles to compensate for the small but unavoidable gap between two attached pieces. The holes and nubs actually have a negative tolerance to account for the small amount of distortion that results from printing the nubs on an angle. See here for some more useful construction objects: Magnetic Parallelepiped: https://www.thingiverse.com/thing:4490079 Bow Tie Construction Pieces: https://www.thingiverse.com/thing:4360038 Octahedron and Tetrahedron Lego: https://www.thingiverse.com/thing:4345727