helix_bronze_black

Equation

\[ 6x^2-2x^4 = y^2z^2 \]

Properties:

  • degree 4
  • two singular curves, both lines, being the \(y\) and \(z\) axes. They intersect at a singular point at the origin.
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helix_with_support
helix_side

Some story

I love this surface, I think it is one of my favorites so far. I took a risk on Helix, printing it large without internal supports, before any trial runs. I feel like I am getting good enough at printing that I can take some risks like this -- and it paid off. It came out beautifully, in 33.5 hours of printing. I reduced the speed to 2000mm/minute to help ensure the risky regions would bridge well.

Sphere of radius 5, random projection.

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helix_blocky_angle
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helix_blocky_side
Stacks Image 135
helix_matlab_purple
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