Hi Tom,

Based upon limited google-ing, apparently the "planar enneper" is a "Richmond_surface" combination of plane and enneper.

for m=2, there is a real parametric expression here, which looks fairly simple:

https://en.wikipedia.org/wiki/Richmond_surface

I have not seen a javascript program for Weierstrass. :-)

https://en.wikipedia.org/wiki/Weierstrass%E2%80%93Enneper_parameterization

- Brian

https://www.math.hmc.edu/~gu/curves_and_surfaces/surfaces/richmond.html