Quartic Surface for Contours
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3D model description
I created this quartic surface in Wolfram Mathematica for printing with contours at equally spaced intervals in the z-direction to have a nice model to share with my students when I teach surfaces and contour maps.
The equation of the surface is z = 2 x^2 - x^4 - 2 y^2 + y^4 and it works well for illustration since it has local maximum and minimum points as well as multiple saddle points. I often find myself teaching about 3D printing while teaching about contours and level sets.
I set up the print for this model with Simplify3D and 21 processes at appropriate intervals to achieve the look I wanted.
My model was printed with full supports throughout. I tried with fewer supports but did not have success. Also included is a "Boundary Frame" model. I used this short square in my print to help make the ooze shield have straight edges which speeds up print time.
3D printing settings
Surface model is approximately 121 x 121 x 100 mm. (Boundary Frame is 129 x 129 x 1 mm.) I printed with 0.3 mm layer height and enough perimeters that the model is solid. I used a raft and an ooze shield along with full supports throughout.
- 3D file format: STL
- Publication date: 2021/02/21 at 20:44
- calculus iii
- dual extrusion
I am a high school math teacher and 3D printing hobbyist. I have been 3D printing since 2017 and enjoy making things for my classes and my own children and home in San Diego, California, USA.
I have a 3D printing sub-site abbymath.com/3DPrinting. See my video on YouTube and my user story written and published by Simplify3D. I design with Mathematica, CorelDRAW, Fusion 360, and Tinkercad. I love my MakerGear M3-ID and my Palette 2S Pro. I have a Monoprice Mini as well.
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