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


  • degree 6
  • unbounded
  • singular cusp curve, which is smooth
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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.