## Interesting Patterns

777² = 603729

(603 + 729)/2 = 666

Doing a similar procedure for 666,

666² = 443556

except that we don’t divide the sum of the two 3-digit groups by 2.

443 + 556 = 999

Same procedure for 999:

999² = 998001

998 + 001 = 999

The following is a similar pattern with larger numbers and it’s more elegant:

My name Edmark M. Law. I work as a freelance writer, mainly writing about science and mathematics. I am an ardent hobbyist. I like to read, solve puzzles, play chess, make origami and play basketball. In addition, I dabble in magic, particularly card magic and other sleight-of-hand type magic. I live in Hong Kong. I blog at learnfunfacts.com. You can find me on Twitter @EdmarkMLaw and Facebook. My email is learnfunfacts@gmail.com
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### 18 Responses to Curious Number Patterns #2

1. Ted says:

. !

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I once spotted that 12=3×4, 56=7×8.

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• I think I saw this from one of Polya’s books, though I’m not so sure.

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More recently, I observed that: 12+34+56+78=9x10x(1+1)

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3. Megala says:

Interesting!!

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4. lifecameos says:

if you say so.. Maths lost me at age 14.

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5. lorac888890 says:

Hello. Thank you for enjoying my butterfly poem. Your number system is interesting. Please come back more often. Take care.

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6. Aaratrika says:

That is so cool!

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7. You truly know how to give our brains a workout, Edmark! 😀

Have a nice weekend…without Math! 😀 😀

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8. So cool.

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9. Garfield Hug says:

Oh my….wow!! ☺

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10. Ben Aqiba says:

very interesting patterns

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11. Really intriguing…

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