The tree structure shown has a stem of rhombic hexecontahedra (RHs). Additional RH branches are attached to each RH in the stem. The golden ratio appears in the structure: an RH consists of golden rhombuses; the sizes and the distances of the subsequent RHs in the tower are related to one another in the proportion of the golden ratio. The tilting angle is also related to the golden ratio. The total height of the infinite series of RHs in the stem is also related to the golden ratio.