Instead of the standard Klein bottle shape, I wanted to do something more unique. To get a unique form, I sketched side views of the form. Sketching sideviews is a quick and easy way to get out many ideas. Trying to sketch forms in perspective view takes more time, making it harder to get your ideas out on the paper. Include ground lines if the form is supposed to sit on a surface. Include hand drawings if the form is meant to be held.
Save the model as an stl file and send it to 3D Creation Systems to get 3D printed. 3D Creation Systems has a wide selection of materials to choose from. I wanted people to be able to see the complexity of the Klein Vase so I chose a clear material.
For clear 3D prints, you can sand and polish them to get a perfect surface. This instructables can guide you through polishing resins