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Old 05-16-2010, 06:20 AM   #1
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Thumbs up Beautiful Mathematics

Beautiful Mathematics

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

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


Source:http://bestworldstuff.blogspot.com/2010/05/beautiful-mathematics.html
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Old 05-16-2010, 06:56 AM   #2
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Default Re: Beautiful Mathematics

Haha.
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Old 05-16-2010, 07:36 AM   #3
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Default Re: Beautiful Mathematics

Cool...
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Old 05-16-2010, 03:24 PM   #4
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Default Re: Beautiful Mathematics

OMG
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Old 05-16-2010, 04:18 PM   #5
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Default Re: Beautiful Mathematics

Trippy.
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Old 05-16-2010, 04:20 PM   #6
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Default Re: Beautiful Mathematics

2012 is near.
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Old 05-16-2010, 05:06 PM   #7
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Default Re: Beautiful Mathematics

This is very cool
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Old 05-16-2010, 08:03 PM   #8
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Default Re: Beautiful Mathematics

Haha that's pretty awesome.
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Old 05-16-2010, 11:26 PM   #9
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Default Re: Beautiful Mathematics

you know this one?

12345679 x 9 x 1 = 111111111
12345679 x 9 x 2 = 222222222
12345679 x 9 x 3 = 333333333
12345679 x 9 x 4 = 444444444
12345679 x 9 x 5 = 555555555
etc etc etc
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Old 05-16-2010, 11:35 PM   #10
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Default Re: Beautiful Mathematics

HERE IS A CUTE ONE!!
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Old 05-17-2010, 02:02 PM   #11
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Default Re: Beautiful Mathematics

Quote:
Originally Posted by ExcaliburII View Post
you know this one?

12345679 x 9 x 1 = 111111111
12345679 x 9 x 2 = 222222222
12345679 x 9 x 3 = 333333333
12345679 x 9 x 4 = 444444444
12345679 x 9 x 5 = 555555555
etc etc etc
Well ... This one i knew .. It was in Math Text book in 7th Grade! totally awesome
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Old 05-17-2010, 02:17 PM   #12
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Default Re: Beautiful Mathematics

Difference of squares of consecutive integers are the positive odd numbers:

1^2-0^2=1-0=1
2^2-1^2=4-1=3
3^2-2^2=9-4=5
4^2-3^2=16-9=7
5^2-4^2=25-16=9
6^2-5^2=36-25=11
7^2-6^2=49-36=13
8^2-7^2=64-49=15
9^2-8^2=81-64=17
10^2-9^2=100-81=19
...
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Old 05-19-2010, 06:00 PM   #13
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Default Re: Beautiful Mathematics

Great Go Mathematicians
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Old 05-19-2010, 09:27 PM   #14
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Default Re: Beautiful Mathematics

Read Fermats Last Theorem by Simon Singh for some truly beautiful mathematics.
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