# Sattel

## Equation

$x^2+y^2z + z^3 = 0$

## Properties:

• degree 3
• almost smooth, except for a point singularity at the origin
• unbounded

## Some story

I couldn't tell from the image on Herwig Hauser's gallery that this surface is not smooth. But it has that fun little pinch point! Bounded by a sphere of radius 1, with custom projection. For one parameterizing coordinate, we project onto $$x$$ and $$y$$. The other is onto $$z$$.

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