Modeling a Faucet in GeoGebra Augmented Reality

Quick Demo
The surface used to model the faucet in the screencast above is called a TORUS. [br][br]The general equation of a torus is [br][br][math]\left(c-\sqrt{x^2+y^2}\right)^2+z^2=a^2[/math], where[br][br][i]c[/i] = distance from center of torus (0,0,0) to the center of any circular cross section of this tube[br][i]a[/i] = radius of the torus (tube) itself . [br][br]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?

Information: Modeling a Faucet in GeoGebra Augmented Reality