Tessellating polyominos in the plane |
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| Authors: | Ming-You Chen Chih-Hung Yen |
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| Institution: | a Department of Computer Science and Engineering, National Sun Yat-Sen University, Kaohsiung 80424, Taiwan, ROC
b Department of Applied Mathematics, National Chiao Tung University, Hsinchu 30050, Taiwan, ROC |
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| Abstract: | Let the R2 space be divided into unit squares where a polyomino is a finite, connected set of unit squares. In this paper, we give a necessary and sufficient condition on tessellating polyominos by observing an unexpected relation between such tessellations and systems of arithmetic progressions. |
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| Keywords: | Arithmetic progression Double-loop network Polyomino Tessellation |
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