An example of a non-rectifiable Nevanlinna contour

Nevanlinna domains were introduced in 1996 by K. Yu. Fedorovskiy in connection with the problem of uniform approximability of continuous functions by polyanalytic polynomials. Also, Nevanlinna domains are closely related to the problems of pseudo-extension of univalent functions, the theory of model spaces, etc. The problem of existence of a Nevanlinna domain bounded by a non-rectifiable contour is known since 2001. My report presents a simple construction of such domain.