Skip to content
  • Categories
  • Recent
  • Tags
  • Popular
  • World
  • Users
  • Groups
Skins
  • Light
  • Cerulean
  • Cosmo
  • Flatly
  • Journal
  • Litera
  • Lumen
  • Lux
  • Materia
  • Minty
  • Morph
  • Pulse
  • Sandstone
  • Simplex
  • Sketchy
  • Spacelab
  • United
  • Yeti
  • Zephyr
  • Dark
  • Cyborg
  • Darkly
  • Quartz
  • Slate
  • Solar
  • Superhero
  • Vapor

  • Default (No Skin)
  • No Skin
Collapse
Code Project
  1. Home
  2. General Programming
  3. Algorithms
  4. Interesting Symmetries

Interesting Symmetries

Scheduled Pinned Locked Moved Algorithms
comtoolsquestion
12 Posts 6 Posters 0 Views 1 Watching
  • Oldest to Newest
  • Newest to Oldest
  • Most Votes
Reply
  • Reply as topic
Log in to reply
This topic has been deleted. Only users with topic management privileges can see it.
  • A Offline
    A Offline
    Aamir Butt
    wrote on last edited by
    #1

    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 And finally, take a 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

    Bombing for Peace is like Fucking For Virginity" My Articles

    Steve EcholsS R T U 4 Replies Last reply
    0
    • A Aamir Butt

      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 And finally, take a 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

      Bombing for Peace is like Fucking For Virginity" My Articles

      Steve EcholsS Offline
      Steve EcholsS Offline
      Steve Echols
      wrote on last edited by
      #2

      That's interesting... I'm just wondering if I can apply it to anything useful. Probably not, but still a fun exercise. (Nice sig, BTW).


      - S 50 cups of coffee and you know it's on!

      • S
        50 cups of coffee and you know it's on!
        Code, follow, or get out of the way.
      A U 2 Replies Last reply
      0
      • Steve EcholsS Steve Echols

        That's interesting... I'm just wondering if I can apply it to anything useful. Probably not, but still a fun exercise. (Nice sig, BTW).


        - S 50 cups of coffee and you know it's on!

        A Offline
        A Offline
        Aamir Butt
        wrote on last edited by
        #3

        Steve Echols wrote:

        (Nice sig, BTW).

        Thanks :) That was from a T-Shirt.

        Bombing for Peace is like Fucking For Virginity" My Articles

        L U 2 Replies Last reply
        0
        • A Aamir Butt

          Steve Echols wrote:

          (Nice sig, BTW).

          Thanks :) That was from a T-Shirt.

          Bombing for Peace is like Fucking For Virginity" My Articles

          L Offline
          L Offline
          leppie
          wrote on last edited by
          #4

          The version I know is "fighting" but I guess "bombing" is more relative nowadays.

          **

          xacc.ide-0.2.0.50 - now with partial MSBuild support!

          **

          U 1 Reply Last reply
          0
          • A Aamir Butt

            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 And finally, take a 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

            Bombing for Peace is like Fucking For Virginity" My Articles

            R Offline
            R Offline
            Ryan Binns
            wrote on last edited by
            #5

            a(n) = (n + a(n - 1)*10^L(n)/(1 + 10^(n*L(n - 1) - (10^L(n - 1) - 1)/9)))*(1 + 10^((n + 1)*L(n) - (10^L(n) - 1)/9))     where L(n) = floor[log10(10n)] 11, 1212, 123123, 12341234, 1234512345, 123456123456, 12345671234567, 1234567812345678, 123456789123456789, 1234567891012345678910, 12345678910111234567891011, 123456789101112123456789101112, ...

            Ryan

            "Punctuality is only a virtue for those who aren't smart enough to think of good excuses for being late" John Nichol "Point Of Impact"

            U 1 Reply Last reply
            0
            • A Aamir Butt

              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 And finally, take a 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

              Bombing for Peace is like Fucking For Virginity" My Articles

              T Offline
              T Offline
              Tim Craig
              wrote on last edited by
              #6

              Interesting. Does it carry over into number systems with bases different than 10?

              The evolution of the human genome is too important to be left to chance.

              U 1 Reply Last reply
              0
              • T Tim Craig

                Interesting. Does it carry over into number systems with bases different than 10?

                The evolution of the human genome is too important to be left to chance.

                U Offline
                U Offline
                User 12346520
                wrote on last edited by
                #7

                thanks: https://movied.org

                1 Reply Last reply
                0
                • R Ryan Binns

                  a(n) = (n + a(n - 1)*10^L(n)/(1 + 10^(n*L(n - 1) - (10^L(n - 1) - 1)/9)))*(1 + 10^((n + 1)*L(n) - (10^L(n) - 1)/9))     where L(n) = floor[log10(10n)] 11, 1212, 123123, 12341234, 1234512345, 123456123456, 12345671234567, 1234567812345678, 123456789123456789, 1234567891012345678910, 12345678910111234567891011, 123456789101112123456789101112, ...

                  Ryan

                  "Punctuality is only a virtue for those who aren't smart enough to think of good excuses for being late" John Nichol "Point Of Impact"

                  U Offline
                  U Offline
                  User 12346520
                  wrote on last edited by
                  #8

                  thanks: https://movied.org

                  1 Reply Last reply
                  0
                  • L leppie

                    The version I know is "fighting" but I guess "bombing" is more relative nowadays.

                    **

                    xacc.ide-0.2.0.50 - now with partial MSBuild support!

                    **

                    U Offline
                    U Offline
                    User 12346520
                    wrote on last edited by
                    #9

                    thanks: https://movied.org

                    1 Reply Last reply
                    0
                    • A Aamir Butt

                      Steve Echols wrote:

                      (Nice sig, BTW).

                      Thanks :) That was from a T-Shirt.

                      Bombing for Peace is like Fucking For Virginity" My Articles

                      U Offline
                      U Offline
                      User 12346520
                      wrote on last edited by
                      #10

                      thanks: https://movied.org

                      1 Reply Last reply
                      0
                      • Steve EcholsS Steve Echols

                        That's interesting... I'm just wondering if I can apply it to anything useful. Probably not, but still a fun exercise. (Nice sig, BTW).


                        - S 50 cups of coffee and you know it's on!

                        U Offline
                        U Offline
                        User 12346520
                        wrote on last edited by
                        #11

                        thanks: https://movied.org

                        1 Reply Last reply
                        0
                        • A Aamir Butt

                          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 And finally, take a 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

                          Bombing for Peace is like Fucking For Virginity" My Articles

                          U Offline
                          U Offline
                          User 12346520
                          wrote on last edited by
                          #12

                          thanks: https://movied.org

                          1 Reply Last reply
                          0
                          Reply
                          • Reply as topic
                          Log in to reply
                          • Oldest to Newest
                          • Newest to Oldest
                          • Most Votes


                          • Login

                          • Don't have an account? Register

                          • Login or register to search.
                          • First post
                            Last post
                          0
                          • Categories
                          • Recent
                          • Tags
                          • Popular
                          • World
                          • Users
                          • Groups