Selfsimilar polynomials obtained from a onedimensional quasiperiodic model We present new polynomials with selfsimilar properties, which are obtained from the Fibonaccichain model. The crystalline analogs are the Chebyshev polynomials of the first kind. The polynomials are akin to the fixed points of a renormalizationgroup equation. The structure of the zeros of the polynomials forms a tree, which we call the Fibonacci tree. Using this tree, we discuss the electronic spectrum of tightbinding models. 
