  Superconformal surfaces in Euclidean space are the ones for which the ellipse
of curvature at any point is a nondegenerate circle. They can be characterized
as the surfaces for which a well-known pointwise inequality relating the
intrinsic Gauss curvature with the extrinsic normal and mean curvatures, due to
Wintgen (\cite{Wi}) and Guadalupe-Rodr\'iguez (\cite{GR}) for any codimension,
reaches equality at all points. In this paper, we show that any pedal surface
to a $2$-isotropic Euclidean surface is superconformal. Opposed to almost all
known examples, superconformal surfaces in this class are not conformally
equivalent to minimal surfaces. Moreover, they can be given in an explicit
parametric form since $2$-isotropic surfaces admit a Weierstrass type
representation.
