Unhinged Cube - Why does this chained loop not have a twist?
Print it yourself at https://oskarvandeventer.nl/Print-It-.... Buy at https://i.materialise.com/en/shop/ite... or at https://www.shapeways.com/product/K24... Unhinged Square was inspired by the 360-degrees hinge by EnginEli on Thingiverse (https://www.thingiverse.com/thing:467... ). Peter Knoppers suggested that it should be turned in a puzzle. The results is a necklace with 24 hinges that link 24 rounded cubic pieces. The goal is to fold the hinged necklace such that its fits into a 3x3x3 box. The puzzle is more difficult than it looks, as one cannot simply start "at one end" as with a snake puzzle. Moreover the box will have three empty cubies, and the solver needs to figure out where these empty cubies go. The necklace can also be folded into a 12x2x1 block and a 6x2x2 block. It is not known what other nice shapes it can be folded into. Is a 4x3x2 block possible?
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