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On Continuity Properties for Infinite Rectangle Packing

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arxiv 1705.02443 v1 pith:KGR6R7W5 submitted 2017-05-06 math.CO cs.DMmath.MG

classification math.COcs.DMmath.MG
keywords rectanglepackingproblemscontinuityperfectpropertiesbegindiscuss
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By rectangle packing we mean putting a set of rectangles into an enclosing rectangle, without any overlapping. We begin with perfect rectangle packing problems, then prove two continuity properties for parallel rectangle packing problems, and discuss how they might be used to obtain negative results for perfect rectangle packing problems.

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