*Mario thinks he recognizes these from building 54. No, that's not it... maybe building 28? Something like that. It’s all Greek to him, but then mathematical expressions usually are.*

*z*=*w*^{3}with*z*,*w*∈ ℂ near 0*z*^{2}+ 1 =*x*^{2}+ 4*y*^{2}, marked with lines of the form (*t*cos θ + sin θ,±(*t*sin θ − cos θ)/2,*t*) for various values of θ*y*^{2}=*x*^{2}−*z*^{3}+ 3*x*^{2}*z**x*^{2}+ 2*y*^{2}+3*z*^{2}= 1, marked with curves in the principal directions. A point where the principal directions are not well-defined is indicated- The shape of a soap film stretched between two parallel wire hoops
*z*^{4}+ 2*z*^{2}+ 1 =*x*^{2}+*y*^{2}, marked with curves along which the normal curvature vanishes*x*^{2}+*y*^{2}/4 +*z*^{2}/9 = 1 and*z*^{2}/3 = 1 +*x*^{2}/5 +*y*^{2}/2*z*= Re{(*x*+*iy*)^{2}}- A surface, locally isometric to the hyperbolic plane, with an isolated singularity

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