An Algebraic Valentine
Interesting results can be visualized by editing the formula at the bottom. For example, try changing the final z exponent value to 2 from 3 and redraw. Or add more complexity by changing z^3 to Z^2*sin(x)/y, results below. Have fun!
Zuss, an interactive math widget.
Click/tap and rotate 3D model, and adjust scale with sliders on left.
Many more singularities to consider and try at https://homepage.univie.ac.at/herwig.hauser/gallery.html