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Cube/Sphere Dissection, Kawai Tsugite Style, Cube Joint, Math Puzzle

3D model description

The cube is forever a source of mathematical inspiration! There are so many ways to dissect it for puzzles, insights, or just fun! The Kawai Tsugite dissection is simple and elegant, providing great opportunities for students to play with powerful math and design ideas. One starts with a cube, slices two opposite corners off, and then splits the middle pieces using sketches along an equilateral triangle. One can keep one half of the pieces or choose to assemble both half-cubes.

This is probably an intermediate design project. The same process can also be applied on a sphere within the cube. The result, however, is not as much appealing because of the spherical symmetries.

0.2mm tolerance [ 02mmtolerance, the amount pushed back for the wedge surfaces] should be fine for most printers. 0.1mm tolerance gives some friction. Please feel free to experiment with different levels of tolerance between the wedges.


Bu, L.

3D printing settings




.1 to .2mm



The spherical half is better printed with the round part on the bed and supported.

  • 3D model format: STL



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:




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