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Tetrahedral Dissection of the Cube, Cube Puzzle

3D model description

### #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!

  • 3D model format: STL

Tags

Creator

STEAM educator, learning from and working with K-12 STEAM teachers to explore new ideas of teaching and engagement. I firmly believe ART is at the core of STEM learning or all human learning! I owe my ideas and designs to the hundreds of K-12 children and teachers and university professors I have had the pleasure of working with, in multiple disciplines-- math, science,engineering language arts, social studies, early childhood education and more! All mistakes, of course, are mine! There is no warranty or liability whatsoever implied or explicit behind the designs or ideas. They are all posted for their potential educational values.

When working with children, please strictly observe all safety and health procedures! Please refer to the NSTA safety guides: http://www.nsta.org/safety/.

LGBU Contact: LGBU@SIU.EDU

License

CC BY

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