We present a method for constructing harmonic immersions in Formula: see text, known as the Enneper-type representation. We also prove that any harmonic immersion in Formula: see text can be obtained using this approach. Furthermore, we determine the number of non-planar rotational harmonic immersions in Formula: see text that connect two coaxial circles in parallel planes, where both circles have the same radius Formula: see text and are separated by a distance Formula: see text.
Priyank Vasu (Fri,) studied this question.