Thirds Cube Dissection, Many Styles, Liu Hui
cults3d
Thirds Cube Dissection, Liu Hui's Cube Dissection The cube can be divided into three identical pieces in numerous ways. One of the most well-known dissections dates back to 263 AD and Liu Hui's commentaries on the Nine Chapters of Mathematical Arts. By using a cube's (or cuboid's) diagonals, Liu Hui dissected the cube into one half, one third, and one sixth, known as "Qiandu," "Yangma," and "Bienao." For more information, please refer to https://www.thingiverse.com/thing:2430698. The third-cube piece is particularly fascinating. It requires three copies to form a complete cube. With 3D design, we can experiment with these mathematical treasures in various ways and gain insight into their inner workings. In this design, I provide multiple versions of the third cube. The cube measures 50mm cubed. Have fun exploring other cube dissections! ####References 1. https://www.thingiverse.com/thing:2430698 2. Bu, L. (2017). Exploring Liu Hui’s Cube Puzzle: From Paper Folding to 3-D Design. MAA Convergence. Accessible at https://www.maa.org/press/periodicals/convergence/exploring-liu-hui-s-cube-puzzle-from-paper-folding-to-3-d-design
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