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Thirds Cube Dissection, Many Styles, Liu Hui by lgbu
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Last crawled date: 3 years, 1 month ago
Thirds Cube Dissection, Liu Hui's Cube Dissection
The cube can be sliced into three congruent pieces in many ways. One of the best known dissection dates back to 263 AD and Liu Hui's commentaries on the Nine Chapters of Mathematical Arts. In short, using a cube's (or cuboid's) diagonals, Liu Hui dissected the cube into 1 half, 1 third, and 1 sixth, known as "Qiandu," "Yangma," and "Bienao," respectively. For more information, please refer to https://www.thingiverse.com/thing:2430698 .
The third-cube piece is most interesting. Obviously, it takes three copies to make a whole cube. Now, with 3D design, we can play with these mathematical gems in numerous ways and get the inside out. In this design, I provide several versions of the third cube. The cube is 50mm ^ 3.
Have fun and check out other cube dissections!
References
https://www.thingiverse.com/thing:2430698
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
The cube can be sliced into three congruent pieces in many ways. One of the best known dissection dates back to 263 AD and Liu Hui's commentaries on the Nine Chapters of Mathematical Arts. In short, using a cube's (or cuboid's) diagonals, Liu Hui dissected the cube into 1 half, 1 third, and 1 sixth, known as "Qiandu," "Yangma," and "Bienao," respectively. For more information, please refer to https://www.thingiverse.com/thing:2430698 .
The third-cube piece is most interesting. Obviously, it takes three copies to make a whole cube. Now, with 3D design, we can play with these mathematical gems in numerous ways and get the inside out. In this design, I provide several versions of the third cube. The cube is 50mm ^ 3.
Have fun and check out other cube dissections!
References
https://www.thingiverse.com/thing:2430698
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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