Helix
![helix_bronze_black](index_files/helix_bronze_black.jpg)
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.
![helix_pair](index_files/helix_pair.jpg)
![helix_with_support](index_files/helix_with_support.jpg)
![helix_side](index_files/helix_side.jpg)
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.
![helix_angle](index_files/helix_angle.jpg)
![helix_blocky_angle](index_files/helix_blocky_angle.jpg)
![helix_matlab](index_files/helix_matlab.png)
![helix_blocky_side](index_files/helix_blocky_side.jpg)
![Stacks Image 135](index_files/helix_in_progress.jpg)
![helix_matlab_purple](index_files/helix_matlab_purple.png)
![helix_matlab_purple2](index_files/helix_matlab_purple2.png)
input