%%%%%%%%%%%%%%%%%%%%%%%%%%%%  Rotations to pqr Reflections  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% ROT2PQR
% Usage: ROT2REF(w)
%
% Inputs:  w - a word in a,b,c 
%   
% Output:  change a word of rotations to word of reflections in pqr 
%          according to this substitution table
%          a -> pq, b ->qr, c ->rp
%          A=a^(-1) -> qp, B=b^(-1) -> rq, C=c^(-1) -> pr


function y = rot2ref(w) 
    y = [];
    for x=w 
       switch x
       case 'a'
          y =[y 'pq'];
       case 'b'
          y =[y 'qr'];
       case 'c'
          y =[y 'rp'];
       case 'A'
          y =[y 'qp'];
       case 'B'
          y =[y 'rq'];
       case 'C'
          y =[y 'pr'];
       end    
    end