Objects that cannot be taken apart with two hands

  • Authors:
  • Jack Snoeyink;Jorge Stolfi

  • Affiliations:
  • -;-

  • Venue:
  • SCG '93 Proceedings of the ninth annual symposium on Computational geometry
  • Year:
  • 1993

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Abstract

It has been conjectured that every configuration C of convex objects in 3-space with disjoint interiorscan be taken apart by translation with two hands: that is, some propersubset of C can be translated to infinity withoutdisturbing its complement. We show that the conjecture holds for five orfewer objects and give a counterexample with six objects. We extend thecounterexample to a configuration that cannot be taken apart with twohands using arbitrary isometries (rigid motions).