창조의 신비를 엿보게 하는 숫자의 신비

Beauty of Mathematics!
          
                   1 x 8 + 1= 9
                  12 x 8 + 2= 98
                 123 x 8 + 3= 987
                1234 x 8 + 4= 9876
               12345 x 8 + 5= 98765
              123456 x 8 + 6= 987654
            1234567 x 8 + 7= 9876543
           12345678 x 8 + 8= 98765432
          123456789 x 8 + 9= 987654321


                    1 x 9 + 2 = 11
                  12 x 9 + 3 = 111
                123 x 9 + 4 = 1111
              1234 x 9 + 5 = 11111
            12345 x 9 + 6 = 111111
           123456 x 9 + 7 = 1111111
         1234567 x 9 + 8 = 11111111
       12345678 x 9 + 9 = 111111111

      123456789 x 9 +10 = 1111111111


                     9 x 9 + 7 = 88
                    98 x 9 + 6 = 888
                  987 x 9 + 5 = 8888
                 9876 x 9 + 4 = 88888
                98765 x 9 + 3 = 888888
              987654 x 9 + 2 = 8888888
             9876543 x 9 + 1 = 88888888
           98765432 x 9 + 0 = 888888888


                        Brilliant, isnt it?
                      And look at this symmetry:

                             1 x 1 = 1
                          11 x 11 = 121
                       111 x 111 = 12321
                    1111 x 1111 = 1234321
                 11111 x 11111 = 123454321
              111111 x 111111 = 12345654321
           1111111 x 1111111 = 1234567654321
        11111111 x 11111111 = 123456787654321
     111111111 x 111111111 = 12345678987654321
 

아무튼 신비하네!