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Planarity, Symmetry and Counting Tilings |
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| Authors: | Koko K. Kayibi S. Pirzada |
| Affiliation: | 1. Department of Mathematics and Computer Sciences, Qatar University, Doha, Qatar 2. Department of Mathematics, University of Kashmir, Srinagar, India |
| Abstract: | We axiomatize the geometrical properties of T-tetromino to what we call generalised k-T-tetromino. Using this set of axioms, we show that the number of tilings of a 2kn × 2km rectangular region is given by T(L n,m ; 3, 3) if and only if the tile is a k-T-tetromino. This generalizes a result of Korn and Pak (Theor Comp Sci 319:3–27, 2004). |
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