Sinusoidal Base Solid

cults3d

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.