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Tiling annular
regions with skew and T-tetrominoes
Amanda Bright, Gregory J. Clark, Charles Lundon, Kyle Evitts, Michael P. Hitchman, Brian Keating and Brian Whetter |
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Vol. 10 (2017), No. 3, 505–521
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Abstract |
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In this paper, we study tilings of annular regions in the integer lattice by skew and T-tetrominoes. We demonstrate the tileability of most annular regions by the given tile set, enumerate the tilings of width-2 annuli, and determine the tile counting group associated to this tile set and the family of all width-2 annuli. |
Keywords
tilings, tile counting group, annular regions, integer
lattice, skew and T-tetrominoes
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Mathematical Subject Classification 2010
Primary: 52C20
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Milestones
Received: 23 February 2016
Accepted: 31 May 2016
Published: 14 December 2016
Communicated by Arthur T. Benjamin
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Authors |
| Amanda Bright | |
| Department of Mathematics University of Missouri-Columbia Columbia, MO 65211 United States |
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| Gregory J. Clark | |
| Department of Mathematics University of South Carolina Columbia, SC 29208 United States |
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| Charles Lundon | |
| Department of Mathematics Linfield College McMinnville, OR 97128 United States |
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| Kyle Evitts | |
| Department of Mathematics University of Oregon Eugene, OR 97403 United States |
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| Michael P. Hitchman | |
| Department of Mathematics Linfield College McMinnville, OR 97128 United States |
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| Brian Keating | |
| Department of Mathematics California Polytechnic State University San Luis Obispo, CA 93407 United States |
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| Brian Whetter | |
| Department of Mathematics Western Washington University Bellingham, WA 98225 United States |
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| © 2017 MSP (Mathematical Sciences Publishers). |
