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

thingiverse

The cube is an endless wellspring of mathematical fascination! There are countless ways to dissect it for challenges, discoveries, or just pure enjoyment! The Kawai Tsugite dissection is straightforward and stylish, offering numerous opportunities for students to explore powerful math concepts and design principles. One begins with a cube, slices off two opposite corners, and then divides the middle pieces using sketches along an equilateral triangle. You can keep half of the pieces or decide to assemble both half-cubes. This is likely an intermediate-level project. The same process can also be applied to a sphere within the cube. However, the result isn't as visually appealing due to spherical symmetries. A 0.2mm tolerance [02mmtolerance, the amount pushed back for the wedge surfaces] should suffice for most printers. A 0.1mm tolerance will introduce some friction. Feel free to experiment with different levels of tolerance between the wedges. References: 1. https://woodgears.ca/puzzles/3way_joint.html 2. Bu, L. https://www.maa.org/press/periodicals/convergence/exploring-liu-hui-s-cube-puzzle-from-paper-folding-to-3-d-design