Cluster deformer problem on paper folding

[hyoahn]

I am trying to simulate a paper folding using cluster deformer and I was able to make a kite base (1st photo) with no problem. Everything works fine up to this point (I am using double side shaders).  Here I only fold the paper by less than 180 degrees rotation in order to avoid the overlapping. Also edges are all hardened.

Then I was trying to fold the base in half vertically and everything work fine up to the rotation of 89 degrees (2nd photo). But if I increase the rotation angle by 1 degree, i.e., 90 degrees rotation, the front sided shader smeared into the back (3rd photo).  It seems that there is a twisting of meshes but I don't see anything from this simple setup.

If you have experienced this kind of problem, I would appreciate your comments.  Thanks.

[hyoahn]

A simple face rotation could solve the problem.  But I would like to know why the cluster deformer fails in this case since this is a simple setup.

The correspoind mesh is included.

[hyoahn]

Here I am showing my hypershade and cluster deformer setup.

[hyoahn]

The problem is finally solved by relying on skeleton method.

It seems that there is a bug on cluster deformer.

I made a change on the kite base so that there is enough gap between two layers (i.e., I made 178 degrees rotation).

This doesn't help. The cluster deformer gives the same result.  It is very disappointing.