Tetrahedral Dissection of the Cube, Cube Puzzle

Last crawled date: 4 years, 2 months ago

Tetrahedral Dissection of the Cube, Cube Puzzle
The cube is 50mm^3.
Take a cube, pick a vertex V, and imagine a plane P that contains all the 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 (1) regular (Platonic) tetrahedron at the center and four (4) 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, one 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. 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 0.2mm. If needed, please use a 3D spatula (a painting blade or putty knife) to remove any little pieces that might be in the way. CAUTION: use protective gloves!
Method I:
Print 1 Core + 4 Corners
Methods II:
Print the cube at a resolution < 0.2mm , all in one, and then carefully loosen the pieces.
Have fun!