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Thread: Math turns brains to mush.

  1. #1

    Default Math turns brains to mush.

    I woke up just to post this, and I don't really expect any response. I just want you to see this weird shit.

    1 x 1 = 1
    11 x 11 = 121
    111 x 111 = 12,321
    1,111 x 1,111 = 1,234,321
    11,111 x 11,111 = 123,454,321
    111,111 x 111,111 = 12,345,654,321
    1,111,111 x 1,111,111 = 1,234,567,654,321
    11,111,111 x 111,11,111 = 123,456,787,654,321
    111,111,111 x 111,111,111 = 12,345,678,987,654,321

    My brain is officially dead. Notice how the highest single number in each product also equals exactly the amount of 1s in each part of the problem. Notice how the single numbers go up by one and then back down after hitting the apex number.

    What. The. Hell.

    I'm sure this has been done before, but I don't care. It's fried my skull into nothing. I don't think I can ever be right again.

    That is all.

  2. #2
    EmeraldsAndLime

    Default

    Sure, when you look at it, it makes perfect sense.

    When you do the arithmetic via basic multiplication methods (of numbers greater than 10), you can easily see why it works like this.

  3. #3

    Default

    Haha,

    That's cool. Although the coolest thing I've seen was a proof that took apart a sphere with a diameter of 1 meter, and then reassembled it to a sphere with a diameter of 2 meter.

    I didn't get it either.

  4. #4

  5. #5

  6. #6

    Default

    It's not hard to see if you look at it right.

    1111*1111 = 1111*(1000 + 100 + 10 + 1) =

    Code:
    1111000
     111100
      11110
    +  1111
    --------
    1234321
    You basically just slide the number across and add it again, so the result isn't very surprising . It is kind of a neat pattern, though.

    [EDIT]
    Now I will blow your mind by saying that 1111 * 2222 = 2468642. It counts by twos ;-).

  7. #7
    Darkfinn

    Default

    *yawns*

    1 + 1 = 10

    that is all...

  8. #8

  9. #9
    Darkfinn

    Default

    Those who understand binary... and those that don't LOL.

  10. #10

    Default

    Hmm... this thread reminds me of something I saw once about the number 142857... watch this:

    1 142857 = 142857
    2 142857 = 285714
    3 142857 = 428571
    4 142857 = 571428
    5 142857 = 714285
    6 142857 = 857142

    See the pattern? Each time it's the same digits, in the same order, just rotated round. It's what's called a cyclic number.

    And the coolness doesn't stop there:

    7 142857 = 999999

    One digit off one million! And then the pattern continues:

    142857 x 8 = 1142856
    142857 x 9 = 1285713
    142857 x 10 = 1428570
    142857 x 11 = 1571427

    Don't see it? Add the first number to the last number. For example, with 1142856, 1 + 6 = 7, and stick that on the end to get 142857! And then it carries on like this, until you get to another multiple of 7:

    142857 x 14 = 1999998

    2 off 2 million!

    There's so much more I could say about it: I've got loads of webpages open and I'm learning more and more about it. But I've gone on for long enough now, so if you wanna find more about this awesome number, stick it into google some time!

    One last cool thing:

    142 + 857 = 999

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