Embedding Diagram of Weyl Metric in ##R^3##

[Onyx]

TL;DR Summary

Is it possible to make an embedding of the $\phi$=constant slice of a Weyl metric in $R^3$?

Is it possible to make an embedding of the $\phi$=constant slice of a Weyl metric in $R^3$? In particular, I'm thinking of a metric where the components are both $\rho$ and $z$ dependent.