Tetrahedral Dissection of the Cube, Cube Puzzle

thingiverse

Tetrahedral Dissection of the Cube, Cube Puzzle The cube is 50 millimeters cubed. Take a cube, pick a vertex V, and imagine a plane P that contains all three face diagonals or just the three vertices around V. Use the plane to slice the cube and do it all around, using three more planes thus constructed. Now we are left with one regular Platonic tetrahedron at the center and four congruent tetrahedrons around it. I added some snapping structures so we can put them together for a cube puzzle. The four corner tetrahedra can be rotated. If so desired, you can paint the cube faces or just add some stickers or draw some patterns with a painting brush. It is also possible to print the sliced cube all in one piece. Depending on your printer performance, you may need to loosen and/or lubricate the corners a little bit once printed. It works well for me even at 0.2 millimeters. If needed, please use a 3D spatula or a painting blade to remove any little pieces that might be in the way. Use protective gloves! Method I: Print 1 Core + 4 Corners Method II: Print the cube at a resolution less than 0.2 millimeters all in one piece and then carefully loosen the pieces. Have fun!