Geodesic
Tiling a strip with triangles
John Bodeen1 ; Steve Butler1 ; Taekyoung Kim1 ; Xiyuan Sun1 ; Shenzhi Wang1
1Iowa State University
The electronic journal of combinatorics, Tome 21 (2014) no. 1
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In this paper, we examine the tilings of a $2\times n$ "triangular strip" with triangles. These tilings have connections with Fibonacci numbers, Pell numbers, and other known sequences. We derive several different recurrences, establish some properties of these numbers, and give a refined count for these tilings (i.e., by the number and type of triangles used) and establish several properties of these refined counts.
DOI : 10.37236/3478
Classification : 11B39, 52C20
Mots-clés : triangle tilings, Fibonacci numbers, Pell numbers

John Bodeen  1   ; Steve Butler  1   ; Taekyoung Kim  1   ; Xiyuan Sun  1   ; Shenzhi Wang  1

1 Iowa State University 
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     title = {Tiling a strip with triangles},
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John Bodeen; Steve Butler; Taekyoung Kim; Xiyuan Sun; Shenzhi Wang. Tiling a strip with triangles. The electronic journal of combinatorics, Tome 21 (2014) no. 1. doi: 10.37236/3478

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