Amazing Number Pyramids

in math •  7 years ago 

The following equalities are obvious, but they are beautiful nonetheless.

        1 × 1          =         1
       11 × 11         =        121
      111 × 111        =       12321
     1111 × 1111       =      1234321
    11111 × 11111      =     123454321
   111111 × 111111     =    12345654321
  1111111 × 1111111    =   1234567654321
 11111111 × 11111111   =  123456787654321
111111111 × 111111111  = 12345678987654321


       1 × 9 + 2 = 11
      12 × 9 + 3 = 111
     123 × 9 + 4 = 1111
    1234 × 9 + 5 = 11111
   12345 × 9 + 6 = 111111
  123456 × 9 + 7 = 1111111
 1234567 × 9 + 8 = 11111111
12345678 × 9 + 9 = 111111111


              12 - 1 = 11
            123 - 12 = 111
          1234 - 123 = 1111
        12345 - 1234 = 11111
      123456 - 12345 = 111111
    1234567 - 123456 = 1111111
  12345678 - 1234567 = 11111111
123456789 - 12345678 = 111111111

I hope you enjoyed these beautiful equations. Another type of beautiful formulas are continuous fractions and infinite sum series that I hope to post about them later.

Authors get paid when people like you upvote their post.
If you enjoyed what you read here, create your account today and start earning FREE STEEM!
Sort Order:  

Calling @originalworks :)
img credz: pixabay.com
Nice, you got a 5.0% @minnowbooster upgoat, thanks to @berjis
Want a boost? Minnowbooster's got your back!

The @OriginalWorks bot has determined this post by @berjis to be original material and upvoted it!

ezgif.com-resize.gif

To call @OriginalWorks, simply reply to any post with @originalworks or !originalworks in your message!
For more information, Click Here!
Special thanks to @reggaemuffin for being a supporter! Vote him as a witness to help make Steemit a better place!

Congratulations @berjis! You have completed some achievement on Steemit and have been rewarded with new badge(s) :

Award for the number of upvotes

Click on any badge to view your own Board of Honor on SteemitBoard.
For more information about SteemitBoard, click here

If you no longer want to receive notifications, reply to this comment with the word STOP

By upvoting this notification, you can help all Steemit users. Learn how here!

NIIIIIIICCCCCCCCEEEEEE!!!

!cheetah ban

Okay, I have banned @berjis.

Congratulations @berjis! You have completed some achievement on Steemit and have been rewarded with new badge(s) :

Award for the number of upvotes

Click on any badge to view your own Board of Honor on SteemitBoard.
For more information about SteemitBoard, click here

If you no longer want to receive notifications, reply to this comment with the word STOP

By upvoting this notification, you can help all Steemit users. Learn how here!

Congratulations @berjis! You have completed some achievement on Steemit and have been rewarded with new badge(s) :

Award for the number of upvotes

Click on any badge to view your own Board of Honor on SteemitBoard.
For more information about SteemitBoard, click here

If you no longer want to receive notifications, reply to this comment with the word STOP

By upvoting this notification, you can help all Steemit users. Learn how here!

Congratulations @berjis! You have completed some achievement on Steemit and have been rewarded with new badge(s) :

Award for the number of upvotes

Click on any badge to view your own Board of Honor on SteemitBoard.
For more information about SteemitBoard, click here

If you no longer want to receive notifications, reply to this comment with the word STOP

By upvoting this notification, you can help all Steemit users. Learn how here!

Congratulations @berjis! You have completed some achievement on Steemit and have been rewarded with new badge(s) :

Award for the number of upvotes

Click on any badge to view your own Board of Honor on SteemitBoard.
For more information about SteemitBoard, click here

If you no longer want to receive notifications, reply to this comment with the word STOP

By upvoting this notification, you can help all Steemit users. Learn how here!

Congratulations @berjis! You received a personal award!

Happy Birthday! - You are on the Steem blockchain for 2 years!

You can view your badges on your Steem Board and compare to others on the Steem Ranking

Do not miss the last post from @steemitboard:

The new SteemFest⁴ badge is ready
Vote for @Steemitboard as a witness to get one more award and increased upvotes!