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Get opposing faces


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I am generating this kind of mesh, those are cave walls. Next I want to place kind of 'door frames' in narrow passages. First step would be to detect narrow passages.

Are there some existing SOP which could assist me in doing so? 

Or only direct coding will help, like

1) Trace from each polygon

2) Test if any other opposite in given distance

3) Save to group

If only coding, then I would appreciate link to maybe some VEX which does similar stuff, so I could get better idea of functions used

 

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