>>(Actually, the code that generates the 4 points guarantees them to form 
>>a rectangle. To be specific, A and B are identical except for the Z 
>>coordinate, as are C and D...)
> 
> 
>   I don't think that's a guarantee of rectangularity nor even
> parallelogramity.

Why not?

Oh, did I not mention that A and C have *the same* Z coordinate? (As do 
B and D...)

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