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The Wikipedia gives the following formula regarding dihedral angles,
Now, how did the wiki work out the co-ordinates without knowing the dihedral angles?
I suggest that you purchase the 'MAHEMATICAL MODELS' book by H.Martyn Cundy and
Hi Joe, I sent your email to Jesse, so hiding it now
I sent an email about this to "Soapy Joe", hopefully it will reach him.
Top line is the dot product between the vectors. Bottom is the product of their lengths.
These calculations are also shown on the sheet along with a conversion into degrees.