[Home]History of BanachTarskiParadoxicalDecomposition

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Revision 4 . . February 8, 2001 5:40 am by RoseParks [*Spelling correction]
Revision 3 . . (edit) February 8, 2001 3:50 am by RaviDesai
Revision 2 . . February 8, 2001 3:39 am by (logged).bomis.com
Revision 1 . . February 8, 2001 3:36 am by (logged).bomis.com
  
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Changed: 5c5
:Any two bounded subsets (of 3-space) with non-empty interior, are equi-decomposable by translations and rotations. This can be illustrated by saying that a marble can be cut up into finitely many pieces and reassembled into a planet. Note that in the decomposition, the pieces are not measurable, and so they will not have "reasonable" boundries.
:Any two bounded subsets (of 3-space) with non-empty interior, are equi-decomposable by translations and rotations. This can be illustrated by saying that a marble can be cut up into finitely many pieces and reassembled into a planet. Note that in the decomposition, the pieces are not measurable, and so they will not have "reasonable" boundaries.
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