Math problem.

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fishpaste
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#1
Report Thread starter 18 years ago
#1
A number N is 'nice' if you can drawn N squares inside a large square like this one:

Code:
______
|     |
|     |
|_____|
Ie. 7 is nice because
Code:
_______
|  |   |
|__| __|
|  |_|_|
|__|_|_|

(those are supposed to be perfect squares.)

4 is niec because:

____
|_|_|
|_|_|
What kind of numbers aren't nice?
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elpaw
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#2
Report 18 years ago
#2
(Original post by fishpaste)
What kind of numbers aren't nice?
I think it's triangular numbers
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fishpaste
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#3
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#3
(Original post by elpaw)
I think it's triangular numbers
Why?
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elpaw
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#4
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#4
(Original post by fishpaste)
Why?
its just a hunch. im too tired to try proving it now.
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username9816
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#5
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#5
(Original post by fishpaste)
Why?
coz they r good 4 making triangles, not squares.
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fishpaste
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#6
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#6
(Original post by elpaw)
its just a hunch. im too tired to try proving it now.
Well I'll say ya some time and tell you that 10 is nice
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fishpaste
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#7
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#7
(Original post by bono)
coz they r good 4 making triangles, not squares.
*******s :P
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username9816
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#8
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#8
(Original post by fishpaste)
*******s :P
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fishpaste
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#9
Report Thread starter 18 years ago
#9
(Original post by bono)
You are correct. But there's nothing to say that triangular numbers can't make squares within squares, as 10 shows.

Btw I've only made some progress on this, and don't know the answer. So it's open :P
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