Involve: A Journal of Mathematics

  • Involve
  • Volume 10, Number 3 (2017), 505-521.

Tiling annular regions with skew and T-tetrominoes

Amanda Bright, Gregory Clark, Charles Dunn, Kyle Evitts, Michael Hitchman, Brian Keating, and Brian Whetter

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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.

Article information

Source
Involve, Volume 10, Number 3 (2017), 505-521.

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

Permanent link to this document
https://projecteuclid.org/euclid.involve/1513087852

Digital Object Identifier
doi:10.2140/involve.2017.10.505

Mathematical Reviews number (MathSciNet)
MR3583879

Zentralblatt MATH identifier
1357.52020

Subjects
Primary: 52C20: Tilings in $2$ dimensions [See also 05B45, 51M20]

Keywords
tilings tile counting group annular regions integer lattice skew and T-tetrominoes

Citation

Bright, Amanda; Clark, Gregory; Dunn, Charles; Evitts, Kyle; Hitchman, Michael; Keating, Brian; Whetter, Brian. Tiling annular regions with skew and T-tetrominoes. Involve 10 (2017), no. 3, 505--521. doi:10.2140/involve.2017.10.505. https://projecteuclid.org/euclid.involve/1513087852


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References

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