There are many Baha'is who believe that marriage is ideal with "3
compatibilities" physical, intellectual, and spiritual.  A marriage
can be successful with any two, but must have all three to be ideal. 
I have been unable to find the documented source for this belief.  It
is supposed to have been said by 'Abdu'l-Baha, the son of the founder
of the Baha'i Faith.

This might be helpful, although it does not specifically mention three
"compatibilities":

"Selections From the Writings of `Abdu'l-Bahá Page 118 
  
86: Bahá'í marriage is the commitment of the two ...   
1 Bahá'í marriage is the commitment of the two parties one to the
other, and their mutual attachment of mind and heart. Each must,
however, exercise the utmost care to become thoroughly acquainted with
the character of the other, that the binding covenant between them may
be a tie that will endure forever. Their purpose must be this: to
become loving companions and comrades and at one with each other for
time and eternity....
   
2 The true marriage of Bahá'ís is this, that husband and wife should
be united both physically and spiritually, that they may ever improve
the spiritual life of each other, and may enjoy everlasting unity
throughout all the worlds of God. This is Bahá'í marriage."

http://www.ibiblio.org/Bahai/Texts/EN/SAB/SAB-86.html