This surface, which is an Enneper minimal surface, is describable parametrically as:

X(s,t) = -0.3333*s^3 + s*t^2 + s
Y(s,t) = s^2*t - 0.3333*t^3 + t
Z(s,t) = s^2 - t^2
domain: s [-4, 4]; t [-4, 4];

rendered as points and solid from the same perspective.