Stacks Image 18

Equation

\[ x^2 + (z+y^2)^3 \]

Properties:

  • degree 6
  • unbounded
  • singular cusp curve, which is smooth
Stacks Image 38
Stacks Image 40

Some story

I wish I understood why this surface makes a sound. I personally haven't dropped it in water or mud, but I bet it's not an especially pronounced plop.

Decomposed using a random projection, and a bounding sphere of radius 5.

input