H. G. Muller wrote on Thu, Oct 22, 2009 04:58 PM UTC:
A color-alternating piece with mating potential? You must be joking.
For the purpose of mating a bare King, the mirror Rhino is equivalent to the (FN), which has mating potential of boards upto 16x16 (where it takes 100 moves), see:
http://www.chessvariants.org/index/listcomments.php?subjectid=12x12_checkmate