Abstract. In this paper, we present a reconstruction of an f(R) gravity cosmological model from polytropic scalar field. For the purpose of reconstruction, we consider an equivalence between the f(R) gravity and scalar-tensor gravity and obtain exact forms of f(R) functions and the scalar field potentials. Further, we study the universe under two asymptotic scenarios of early universe and late universe and obtain the forms of the function f(R) and the corresponding potentials. We find that the functions f(R) satisfy the viability conditions.

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