Validation join Check for all Shape faces

what is the best way to check validation join between the two shapes in a generic way?

It might be good if you describe formally what do you mean by “validation join check of shapes”. This will help anyone who will try to help.

Also, very generally speaking, the concept of “the best way” is context-dependent and you have not provided any context, like what are the data, what is the expected result, what factor is the most important, and so on.

There are different interpretations of “the best” – “the most performant”, “the shortest code”, “the least dependent on other libraries”, “the smallest memory consumption”, “the easiest to port or support”, “the closest to some standard”, “the most portable”, etc.

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please give me some suggestion to check invalid join and shape can be rotated in every direction.