My model is Animation.blend

I've assembled an interpolated Animation model, which has a somewhat unique features issue.

A) Via the Animation Timeline, if you go to <frame 380>, you will get to my first problem. I have a similar kind of problem again at <frame 480>. It even exists partly underneath the model too, at frame <522>.

I need planes to coincide, as well as possessing marked freestyle line edges, to be upward detected with priority to the plane which is moved, pivoted, in. Sometimes these planes should cover view to a previous plane, sometimes it won't and sometimes it will part cover and part not cover an "underneath" plane, or a previous such combination of planes.

B) I also have the acute angle, freestyle marked edges problem (coincidence) bug happening between frames <560> and <580>.

A generic script could be programmed, to include any objects, be they meshes or NURBS surfaces, to in fact ray cast reflect from the lights, to the model points and back to the camera, to avoid this acute angles problem at rendering.

There could also be a new implementation of layers, allowing an infinity of layers and not just 20, to contain and prioritise the stacking of planes (one inside each such layers), to be considered consistently for rendering, even when the planes coincide. Note that the same individual material reference is handed around all my planes in my model.

Is there someone who can help with my problems A) and B) at all, please?

I need planes to coincide, as well as possessing marked freestyle line edges

Why do the planes, in this case, need to coincide? Couldn't you have created the model from a single contiguous mesh, and fold it using bones or deformation modifiers? This technique would help avoid planes coinciding in the same coordinate space and solve the artifact issues you're facing in this animation. Blender almost always rejects overlapping faces in rendering scenarios, and it usually considers it a bad topological practice. There are a few folding examples for different paper airplane designs online you can glean ideas from, but if you are going to keep this design strategy of individually animated objects, it's best to avoid overlapping faces.

The Blender Render used to have an option called Z-Offset material back in 2.5 days, which became active when Z-Trans was enabled. This might be your only hope in avoiding artifacts with overlapping geometry, but I have not used the Blender Render engine in years, and I never tested that option fully. You'd have to look it up to see if it would work for you, but the rule of thumb is generally to avoid overlapping faces at all costs, because they may never render predictably in Blender.

I am using materials on all the plane objects in my model. I found that if I hand the one material reference around, I can eliminate z-fighting problems.

-My only present problem seems to be the detection of my freestyle edge marking. I'm encountering what I think is an acute angle problem, issue being I need that angle.

-Issue is, for this model and possibly other models, I would need coinciding planes. Otherwise, you can't have a theoretically infinite number of folds, without "thickness" plane offset issues preventing and mitigating folds.

-If the layers system allowed infinite layers and not just 20 and allowed for layer stacking, with no freestyle line edge detection problems, this would solve the problem all for me. I understand that coinciding planes is not really a 3D modelling require, however it could be an Animation one. Is there anyone who knows of an infinite layers, layer stacking solution that could help me? Or someone who could program an addon script to solve this issue?

-Also, by the way, is there anyone who has a script update that eliminates the acute angle problems with marked freestyle line edges? In my opinion, the code just needs to forget being isolated to the edges object, and binding entertain lights/camera ray casting. Can anyone help?