How MathMagic.java works:

       1 a +  0 b
       0 a +  1 b
       1 a +  1 b
       1 a +  2 b
       2 a +  3 b
       3 a +  5 b
       5 a +  8 b
       8 a + 13 b
      13 a + 21 b
    + 21 a + 34 b
    -------------
      55 a + 88 b