Math Tricks ... Numeric Vispo?

Apenas uma curiosidade...
Vê o que acontece se multiplicarmos 37 por múltiplos de 3:

3 x 37 = 111
6 x 37 = 222
9 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

Agora vê isto:

111111111 x 111111111 = 12345678987654321

Repara neste trapézio:

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

E neste outro:

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

E ainda neste:

0 x 9 + 8 = 8
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
987654321 x 9 - 1 = 8888888888
9876543210 x 9 - 2 = 88888888888

I find these little pieces very interesting.

These have been floating around on the web lately and were emailed to me twice by different people. I have no idea how old they are or who originally discovered them. I would imagine that more than one person contributed to this group. I would not call them mathematical poetry but they may be considered some form of numeric Vispo.

They remind me a little bit of magic squares.
http://mathforum.org/alejandre/magic.square.html

If odd math expressions are your thing you may want to check the following:
http://curiousmath.com/

Happy Holidays