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

cults3d

The cube remains a timeless wellspring of mathematical fascination! Endless ways exist to dissect it for puzzles, insights, or simply fun! The Kawai Tsugite dissection is straightforward and aesthetically pleasing, offering students numerous opportunities to engage with complex math concepts and design principles. Beginning with a cube, one slices off two opposite corners, then splits the middle pieces using sketches along an equilateral triangle. You can keep one half of the pieces or choose to assemble both halves of the cube. This is likely an intermediate-level design project. The same process can also be applied to a sphere within the cube. However, the result lacks appeal due to spherical symmetries. A 0.2mm tolerance for the wedge surfaces should suffice for most printers. A 0.1mm tolerance may introduce some friction. Feel free to experiment with different levels of tolerance between the wedges. References: https://woodgears.ca/puzzles/3way_joint.html Bu, L. https://www.maa.org/press/periodicals/convergence/exploring-liu-hui-s-cube-puzzle-from-paper-folding-to-3-d-design