Wringing a torus around the circumference of its major radius Would it be possible to wring the tube of a torus around the circumference of its major radius, like this?  

  

This was done by shifting the texture coordinates by using a Texture mapping node. However, the object I have in mind would be low poly and flat shaded, i.e. the location of the edges would be visible, so texture shifting would make the texture slide over the torus rather than giving the appearance of the tube being wrung.
you can use a cylinder with array and curve modifier :



apply the array modifier and Unwrap the cylinder then you can get the result :