Friday, January 18, 2008

Number Pyramids

And now for something a little fun...but absolutely amazing!

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, isn't 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

4 comments:

  1. Somebody has way too much time on their hands. Come and do my laundry!

    ReplyDelete
  2. LOL Not me! Someone just sent this to me in an email.

    Come do my launrdy! Or climb it and plant a flag. Or somethin'. ;/

    ReplyDelete
  3. No, no, no.
    Try laundry for two teenage boys who participate in multiple sports and a husband who is a burner technician. I'll show you laundry. Argh. It's what I did all day yesterday on my day off.
    Isn't somebody suppossed to be working on their query and synop????
    Hmmmmm.
    Love the symetry btw

    ReplyDelete
  4. *sigh* Yes, someone is supposed to be working on her query and synop. ::: scratches head ::: I wonder who it could be?
    ::: innocent look ::: :)

    ReplyDelete

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