Multiply of 37 by multiplies of 3: x 37 = 111 x 37 = 222 x 37 = 333 12 x 37 = 444 15 x 37 = 555 18 x 37 = 666 21 x 37 = 777 24 x 37 = 888 27 x 37 = 999 12345679x09=111111111 12345679x18=222222222 12345679x27=333333333 12345679x36=444444444 12345679x45=555555555 12345679x54=666666666 12345679x63=777777777 12345679x72=888888888 12345679x81=999999999 -------------------------------------- Trapeze: x + = 11 12 x + = 111 123 x + = 1111 1234 x + = 11111 12345 x + = 111111 123456 x + = 1111111 1234567 x + = 11111111 12345678 x + = 111111111 . Another Trapeze: 1x8+1=9 12 x + = 98 123 x + = 987 1234 x + = 9876 12345 x + = 98765 123456 x + = 987654 1234567 x + = 9876543 12345678 x + = 98765432 123456789 x + = 987654321 . And another one: 0x9+8=8 x + = 88 98 x + = 888 987 x + = 8888 9876 x + = 88888 98765 x + = 888888 987654 x + = 8888888 9876543 x + = 88888888 98765432 x + = 888888888 987654321 x - = 8888888888 9876543210 x - = 88888888888 987654321 x 09 = 08 888 888 889 987654321 x 18 = 17 777 777 778 987654321 x 27 = 26 666 666 667 987654321 x 36 = 35 555 555 556 987654321 x 45 = 44 444 444 445 987654321 x 54 = 53 333 333 334 987654321 x 63 = 62 222 222 223 987654321 x 72 = 71 111 111 112 987654321 x 81 = 80 000 000 001 Nice one: And finally, take a look at this symmetry: 1x1=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 111.111.111 x 111.111.111 = 12.345.678.987.654.321