Objects that cannot be taken apart with two hands
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- Snoeyink, J. & Stolfi, J. Discrete Comput Geom (1994) 12: 367. doi:10.1007/BF02574386
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It has been conjectured that every configurationC of convex objects in 3-space with disjoint interiors can be taken apart by translation with two hands: that is, some proper subset ofC can be translated to infinity without disturbing its complement. We show that the conjecture holds for five or fewer objects and give a counterexample with six objects. We extend the counterexample to a configuration that cannot be taken apart with two hands using arbitrary isometries (rigid motions).