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02-16-2007, 02:22 PM
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 beautiful equations just some beautiful equations to enjoy, 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+2+1)*121=22^2 (1+2+3+2+1)*12321=333^2 (1+2+3+4+3+2+1)*1234321=4444^2 (1+2+3+4+5+4+3+2+1)*123454321=55555^2 (1+2+3+4+5+6+5+4+3+2+1)*12345654321=666666^2 (1+2+3+4+5+6+7+6+5+4+3+2+1)*1234567654321=7777777^ 2 (1+2+3+4+5+6+7+8+7+6+5+4+3+2+1)*123456787654321=88 888888^2 (1+2+3+4+5+6+7+8+9+8+7+6+5+4+3+2+1)*12345678987654 321=999999999^2 they're beautiful, aren't they?  Do you have others???????       |
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02-17-2007, 01:23 PM
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 Thank you for the 11:11. I'll take it! |
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02-17-2007, 02:06 PM
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02-17-2007, 02:18 PM
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Who here has heard of phi? Phi is the golden ratio - in other words the (square root of 5 + 1)/ 2. If you square it you get Phi + 1. And if you divide it into 1, you get Phi - 1. It's quite a beautiful number, particularly in geometry where it creates what is often regarded as the perfect rectangle. |
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