Cubic Base Solids

cults3d

These models are examples of "Solids of Known Cross Sections" similar to figures often discussed in Calculus courses when learning integration for finding volumes. The base of this solid is bounded by a cubic function cut off by a vertical line. Each model has a different shape cross section: square, equilateral triangle, and semicircle. In the shown figure, the cross sections are perpendicular to the y-axis. The shapes are each a single model. I printed using dual extrusion to create a small portion highlighting the cross-sectional shape in each figure. Note that the STL files are rather large. They were designed with Wolfram Mathematica and I rendered them with a very high resolution so that they would scale up well.