Our mission is to generate a small vase from a mathematical expression. We will start with a simple formula and create 2D shapes; we will make the shape changeable using a GUI. Then, we will extend our 2D shape to the third dimension and add some more changeable parameters. We will add a camera control to our sketch, which will allow us to inspect our object from every angle before we decide whether that is what we want on our desk, window board, or cupboard.
Then, we will add an export function that will allow us to either create an STL file that can be used as an input for a 3D desktop printer or order the vase from an online 3D printing service.
When I was a kid, I loved playing with Lego sets. And whenever I made a big building, I was always missing ONE special block that was required to finish my masterpiece. One roof stone, one window, one door (a green one), and so on. Later when I started watching Star Trek and saw a replicator for the first time...