%%%%%%%%%%%%%%%%%%%%%%%%%%%%  Rotations to Reflections  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% ROT2REF
% Usage: ROT2REF(w)
%
% Inputs:  w - a word in a,b,c 
%   
% Output:  change a word of rotations to word of reflections
%          according to this substitution table
%          a -> bc, b ->ca, c ->ab
%          A=a^(-1) -> cb, B=b^(-1) -> ac, C=C^(-1) -> ba


function y = rot2ref(w) 
    y = [];
    for x=w 
       switch x
       case 'a'
          y =[y 'bc'];
       case 'b'
          y =[y 'ca'];
       case 'c'
          y =[y 'ab'];
       case 'A'
          y =[y 'cb'];
       case 'B'
          y =[y 'ac'];
       case 'C'
          y =[y 'ba'];
       end    
    end