Current Search: Tiling -- Discrete -- Polyominoes -- Algebraic Applications to Tiling -- Rectangles -- Decidability (x)
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Title
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Tiling with Polyominoes, Polycubes, and Rectangles.
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Creator
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Saxton, Michael, Reid, Michael, Lee, Junho, Han, Deguang, University of Central Florida
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Abstract / Description
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In this paper we study the hierarchical structure of the 2-d polyominoes. We introduce a new infinite family of polyominoes which we prove tiles a strip. We discuss applications of algebra to tiling. We discuss the algorithmic decidability of tiling the infinite plane Z x Z given a finite set of polyominoes. We will then discuss tiling with rectangles. We will then get some new, and some analogous results concerning the possible hierarchical structure for the 3-d polycubes.
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Date Issued
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2015
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Identifier
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CFE0005995, ucf:50791
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Format
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Document (PDF)
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PURL
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http://purl.flvc.org/ucf/fd/CFE0005995
