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Guest Message by DevFuse
 

42 Photo
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Lines for Squares


Best Answer Pickett, 13 June 2013 - 07:28 PM

I don't think it works. Line is infinite, whereas you used line segments. In my thinking above lines create 8 square. 

 

Spoiler for Alright...well..

Go to the full post


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13 replies to this topic

#1 BMAD

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Posted 28 May 2013 - 10:48 PM

How many lines are needed to make exactly N squares?  Solve for 1<=N<=15.
 
For example, to make five squares, six lines are needed (draw a 2x2 grid, to give four 1x1 squares and one 2x2 square.)  But to make exactly four squares, seven lines are needed.

 


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#2 Pickett

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Posted 30 May 2013 - 01:44 PM

Spoiler for Well I'll get us started (I'd spend more time working on this, but I am at work right now...just figured I'd get things going):


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#3 Pickett

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Posted 05 June 2013 - 03:07 PM

Just a little bump because I'm curious if anyone else has looked at this one and if my solutions above are indeed optimal or not...


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#4 bonanova

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Posted 06 June 2013 - 04:48 AM

I have most of yours and I'll add the obvious 30: 10.

But I don't have a clue regarding a formula.


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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

#5 Barcallica

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Posted 12 June 2013 - 09:17 AM

Spoiler for Well I'll get us started (I'd spend more time working on this, but I am at work right now...just figured I'd get things going):

How did you get 6:7?


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#6 Pickett

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Posted 12 June 2013 - 02:00 PM

How did you get 6:7?

 

Spoiler for 6:7


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#7 Barcallica

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Posted 13 June 2013 - 06:58 AM

 

How did you get 6:7?

 

Spoiler for 6:7

 

I don't think it works. Line is infinite, whereas you used line segments. In my thinking above lines create 8 square. 


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#8 BMAD

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Posted 13 June 2013 - 03:11 PM

6-7.png

 

 

How did you get 6:7?

 

Spoiler for 6:7

 

I don't think it works. Line is infinite, whereas you used line segments. In my thinking above lines create 8 square. 

 

 


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#9 BMAD

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Posted 13 June 2013 - 03:12 PM

 

 

How did you get 6:7?

 

Spoiler for 6:7

 

I don't think it works. Line is infinite, whereas you used line segments. In my thinking above lines create 8 square. 

 

I agree though, Pickett's answer appears to give 8 squares.


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#10 Pickett

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Posted 13 June 2013 - 03:38 PM

 

 

 

How did you get 6:7?

 

Spoiler for 6:7

 

I don't think it works. Line is infinite, whereas you used line segments. In my thinking above lines create 8 square. 

 

I agree though, Pickett's answer appears to give 8 squares.

 

Ahh, didn't realize the OP meant infinite lines, not line segments...that definitely makes the puzzle more fun/interesting


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