Cube Dissection, Robert Reid, Three-Piece Puzzle, Liu Hui Cube Extension

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####Cube Dissection, Robert Reid, Three-Piece Zigzag Puzzle, Liu Hui Cube Extension Another way to dissect a cube into three congruent pieces is by using the method of Robert Reid. It takes three copies to make a cube and assembling them is simple with a gentle twist. Four sizes are provided, and the 50mm^3 one is recommended. This dissection can be credited to Robert Reid in recent history (see URL below). The Liu Hui Cube Extension appears to be an extension of the cube-dissecting method of Liu Hui (263 AD), who detailed a 1/2, 1/3, 1/6 dissection of a cube (or, in general, a cuboid) in his Nine Chapters on Mathematical Art. The famous Liu Hui dissection is the end case of a family of infinitely many such designs, I think. It is not unique! In this specific design, midpoints of certain edges and diagonals are used. A critical point of dissection used is a centroid. This design is interesting and slightly challenging mathematical manipulation in a 3D design environment like Fusion 360. Playing with math and art can be fun! ####References 1. Reid, Robert. http://www.martinhwatson.co.uk/robert_reid.html 2. Bu, Lingguo. https://www.maa.org/press/periodicals/convergence/exploring-liu-hui-s-cube-puzzle-liu-hui-s-principle Print Settings