Sinusoidal Base Solid
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3D model description
This model is an example of a "Solid of Known Cross Sections" similar to those often discussed in Calculus courses when learning integration for finding volumes. The base of this solid is bounded by two sine curves: one side has frequency 1 and the other side has frequency 2. The cross sections are equilateral triangles through the region. In the shown figure, the curves are functions of y and the triangles are perpendicular to the y-axis.
My prints are hollow, but the model is solid. Including some base layers could turn this into an interesting vase. See note about print orientation below.
Note that the STL file is rather large. This was designed with Wolfram Mathematica and I rendered it with a very high resolution so that it would scale up well.
3D printing settings
The model is solid, but I printed it with 0% infill and 4 outline perimeter shells. I printed it on its end so the model is oriented in that direction rather than sitting on its "base" as defined above.
Model is approximately 95 x 79 x 100 mm. The large one I printed is 200% scale.
0.2 mm layer height with 0% infill, no supports, no raft.
3D printer file information
3D design format: STL Folder details Close
- Sine Base Uneven w Eq Triangles Cross Sections High Res.stl
- Publication date: 2021/05/11 at 06:52
- sine wave
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 design with Mathematica, CorelDRAW, Fusion 360, and Tinkercad. I love my MakerGear M3-ID and my Palette 2S Pro. I have a Prusa MK3S as well. I started a 3D printing sub-site abbymath.com/3DPrinting, but it needs some updating.
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