  In this paper we give a complete classification of unitary fusion categories
$\otimes$-generated by an object of dimension $\frac{1 + \sqrt{5}}{2}$. We show
that all such categories arise as certain wreath products of either the
Fibonacci category, or of the dual even part of the $2D2$ subfactor. As a
by-product of proving our main classification result we produce a
classification of finite unitarizable quotients of $\operatorname{Fib}^{*N}$
satisfying a certain symmetry condition.
