# Geisha

## Equation

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

## Properties:

• degree 4
• two singular curves, both lines. one is a cusp, the other is a self-crossing. at least in terms of the real part...
• two singular points, one at the intersection of the two singular lines -- at the origin. the other is at $$(0,0,-1)$$, and is a cusp singularity, lying only on the singular $$z$$-axis

## Some story

The support came off quite nicely, except where the two separate bodies join, at $$(0,0,-1)$$, where the printed surface broke. Not surprising. PLA is a brittle plastic, so even a little extra force while removing support is likely to break these point singularities. So I hot-glued it back together.

Sphere of radius 5, random projection.

input