@techreport{sno-sto-93-hands-tr, author = {Jack Snoeyink and Jorge Stolfi}, title = {Objects That Cannot Be Taken Apart With Two Hands}, institution = {CS Department, Univ. of British Columbia}, number = {TR-93-31}, pages = {17}, year = 1993, month = oct, url = {ftp://ftp.cs.ubc.ca/ftp/local/techreports/1993/TR-93-31.ps}, abstract = {It has been conjectured that every configuration {\it C} of convex objects in 3-space with disjoint interiors can be taken apart by translation with two hands: that is, some proper subset of {\it C} 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). Note: some figures have been omitted from the online version to save space.} }