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Beautiful Patterns ala Mathematics!

Behold!:
0 x 9 plus 1 = 1
1 x 9 plus 2 = 11
12 x 9 plus 3 = 111
123 x 9 plus 4 = 1111
1234 x 9 plus 5 = 11111
12345 x 9 plus 6 = 111111
123456 x 9 plus 7 = 1111111
1234567 x 9 plus 8 = 11111111
12345678 x 9 plus 9 = 111111111
123456789 x 9 plus 10=1111111111

Behold!:
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 + 8 = 987654321

Behold!:
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

Behold!:
12345679 x 9 = 111111111
12345679 x 18 = 222222222
12345679 x 27 = 333333333
12345679 x 36 = 444444444
12345679 x 45 = 555555555
12345679 x 54 = 666666666
12345679 x 63 = 777777777
12345679 x 72 = 888888888
12345679 x 81 = 999999999

Behold!:
1 2 =1
112=121
1112=12321
11112=1234321
111112=123454321
1111112=12345654321
11111112=1234567654321
111111112=123456787654321
1111111112 = 12345678987654321

It is impossible to look at these patterns without uttering "Math is Special!"

Source: Samuel Jones, Mathematical Wrinkles, 1929