Cube Dissection, Robert Reid, Three-Piece Puzzle, Liu Hui Cube Extension
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Cube Dissection: A New Twist on an Old Problem, Robert Reid's Three-Piece Puzzle, Liu Hui Cube Extension Discover another way to dissect a cube into three identical pieces. To create a complete cube, you'll need three copies of the puzzle. Assembling it requires only a gentle twist, making it simple and fun. Four sizes are available, with the 50mm^3 one being the recommended choice. This dissection is credited to Robert Reid in modern times (see URL below). Upon closer inspection, it appears to be an extension of Liu Hui's cube-dissecting method, a Chinese mathematician who lived over 1,600 years ago. In his book, "Nine Chapters on Mathematical Art," Liu Hui described a 1/2, 1/3, 1/6 dissection of a cube (or any cuboid). This design is the final outcome of a family of such puzzles and, I believe, not unique in itself. To create this puzzle, I used the midpoints of specific edges and diagonals. The resulting design is engaging and demands some mathematical manipulation when working in a 3D environment like Fusion 360. Enjoy exploring the intersection of math and art! References Reid, Robert. http://www.martinhwatson.co.uk/robert_reid.html Bu, Lingguo. https://www.maa.org/press/periodicals/convergence/exploring-liu-hui-s-cube-puzzle-liu-hui-s-principle
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