Open Access
2017 Tiling annular regions with skew and T-tetrominoes
Amanda Bright, Gregory Clark, Charles Dunn, Kyle Evitts, Michael Hitchman, Brian Keating, Brian Whetter
Involve 10(3): 505-521 (2017). DOI: 10.2140/involve.2017.10.505

Abstract

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.

Citation

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Amanda Bright. Gregory Clark. Charles Dunn. Kyle Evitts. Michael Hitchman. Brian Keating. Brian Whetter. "Tiling annular regions with skew and T-tetrominoes." Involve 10 (3) 505 - 521, 2017. https://doi.org/10.2140/involve.2017.10.505

Information

Received: 23 February 2016; Accepted: 31 May 2016; Published: 2017
First available in Project Euclid: 12 December 2017

zbMATH: 1357.52020
MathSciNet: MR3583879
Digital Object Identifier: 10.2140/involve.2017.10.505

Subjects:
Primary: 52C20

Keywords: annular regions , Integer lattice , skew and T-tetrominoes , tile counting group , tilings

Rights: Copyright © 2017 Mathematical Sciences Publishers

Vol.10 • No. 3 • 2017
MSP
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