Tetrahedral Dissection of the Cube, Cube Puzzle

cults3d

####Tetrahedral Dissection of the Cube Puzzle Game ####The 50mm^3 cube is ready for dissection. Take a cube, select any vertex V, and visualize a plane P that intersects all three face diagonals (or simply the three vertices) surrounding V. Use this plane to slice the cube and repeat with three more planes, each constructed in the same manner. You will now be left with one central regular tetrahedron (Platonic solid) surrounded by four congruent tetrahedrons. I added some interlocking structures that enable you to assemble them into a complete cube puzzle. The four corner tetrahedra can be rotated freely, allowing for creative rearrangement. You can also decorate the cube faces with paint or stickers, or draw patterns using a brush. If desired, you can print the sliced cube in one piece. Depending on your printer's performance, you may need to apply some pressure and lubricate the corners slightly once printed. This approach works well even at 0.2mm resolution for me. If necessary, use a 3D spatula (such as a painting blade or putty knife) to remove any loose pieces that might be obstructing assembly. CAUTION: Wear protective gloves during this process. Method I: Print the core piece and four corner tetrahedra separately. Method II: Print the entire cube at a resolution below 0.2mm, then carefully loosen the individual pieces. Have fun!