This space curve is a math classic. To view its projections on a plane, you may take a torch (or your cell phone lamp). The object shows the space curve together with three projections held together by the edges of a cube. See also Math-Sculpture.com
Its projections to the sides of the cube are particularily interesting, one is a standard parabola, another one some graph of a polynomial of degree three, and the third one is a curve with a so-called cusp.
In mathematics, the particular curve used for this model, is called rational normal curve, with parametrization $(t,t^2,t^3)$.
We also created a model which is identical apart from the fact that the three mentioned projections are also shown in the model.
We also created a version of this modell without the three projections shown on three sides. That model may actually be better suited if you want to see the shadows using a torch.