How to draw a patch with different front-face and back-face colors?

Consider drawing a patch, say

 patch([0 1 1], [0 0 1], [1 2 3], 1).

I want the patch sides to be of different color: say, "red" when I look at its front-face and "blue" when I look at its back side. Is it possible?

Or maybe it's possible to switch on the "back-face culling" in MATLAB?

[Alec Jacobson]

I'd also like to know if this is possible.

[Agustín Trujillo-Pino]

You need to create your own callback every time the user moves the mouse to rotate, and in that callback you compute what faces are front-facing or back-facing to the camera, and set the corresponding color for each one.