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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

13 replies to this topic

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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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Vidi vici veni.

### #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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Posted 13 June 2013 - 03:11 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.

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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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