Tiling a Strip with Triangles
Copyright policy )Tiling a Strip with Triangles
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.
- Iowa State University United States
triangle tilings, Fibonacci and Lucas numbers and polynomials and generalizations, Fibonacci numbers, Pell numbers, Tilings in \(2\) dimensions (aspects of discrete geometry)
triangle tilings, Fibonacci and Lucas numbers and polynomials and generalizations, Fibonacci numbers, Pell numbers, Tilings in \(2\) dimensions (aspects of discrete geometry)
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