Figurate Numbers
From I2008
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| + | ==Square Numbers== | ||
| + | Square numbers are... well, squares. | ||
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| + | They have the same width and height. | ||
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| + | If we were to picture it using dots, it would look like this: | ||
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| + | http://img393.imageshack.us/img393/7498/square3al.png | ||
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| + | Since they have the same width and height, the formula for square numbers is n^2 (n-squared). | ||
| + | |||
| + | ==Rectangular Numbers== | ||
| + | They are rectangular. | ||
| + | |||
| + | They have a different width and height, one is one unit higher than the other.. | ||
| + | |||
| + | If we were to picture it using dots, it would look like this: | ||
| + | |||
| + | http://img151.imageshack.us/img151/2336/rectangle6iu.png | ||
| + | |||
| + | Since one side is one unit higher than the other, the formula for rectangular numbers is n(n+1) or n^2+n. | ||
| + | |||
| + | ==Trianguluar Numbers== | ||
| + | They are triangular. | ||
| + | |||
| + | They are half each rectangular number. | ||
| + | |||
| + | If we were to picture it using dots, it would look like this: | ||
| + | |||
| + | http://img461.imageshack.us/img461/6117/triangle8mf.png | ||
| + | |||
| + | Since they are half rectangular numbers, the formula for triangular numbers is n(n+1) [OVER] 2 or n^2+n [OVER] 2. | ||
[[Category:Math]][[Category:Patterns]] | [[Category:Math]][[Category:Patterns]] | ||
Current revision as of 15:47, 22 June 2006
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Square Numbers |
n^2 |
|
Rectangular Numbers |
n(n+1) |
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Triangular Numbers |
n(n+1)
|
[edit] Square Numbers
Square numbers are... well, squares.
They have the same width and height.
If we were to picture it using dots, it would look like this:
Since they have the same width and height, the formula for square numbers is n^2 (n-squared).
[edit] Rectangular Numbers
They are rectangular.
They have a different width and height, one is one unit higher than the other..
If we were to picture it using dots, it would look like this:
Since one side is one unit higher than the other, the formula for rectangular numbers is n(n+1) or n^2+n.
[edit] Trianguluar Numbers
They are triangular.
They are half each rectangular number.
If we were to picture it using dots, it would look like this:
Since they are half rectangular numbers, the formula for triangular numbers is n(n+1) [OVER] 2 or n^2+n [OVER] 2.
