Modeling a Faucet in GeoGebra Augmented Reality

Quick Demo

The surface used to model the faucet in the screencast above is called a TORUS. The general equation of a torus is , where c = distance from center of torus (0,0,0) to the center of any circular cross section of this tube a = radius of the torus (tube) itself . Yet this creates a surface that creates a torus that has an alignment shown in the applet below. How can we modify this general equation in order to create a torus that has an alignment shown in the screencast?