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Guest Message by DevFuse

# Packing squares, again

Best Answer harey, 13 October 2013 - 06:55 PM

Spoiler for I think I can do better

Go to the full post

2 replies to this topic

### #1 bonanova

bonanova

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Posted 12 October 2013 - 10:28 AM

What is the area of the smallest square that holds five unit squares without overlap?

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Vidi vici veni.

### #2 dgreening

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Posted 13 October 2013 - 06:22 PM

I think the smallest square would be a 3 x 3.

If we start with the most compact area to contain 4 unit squares, it would be a 2 x 2 square. The addition of another unit square will force it to add at least one row or column - thus forcing you to a 2x3 configuration. To meet the criteria of the problem, we must expand that to a 3 x 3

There are multiple configurations [many are just reflections of others

# # #

# # -

- - -

or

# # #

# - -

# - -

or

# - #

- # -

# - #

or ...

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### #3 harey

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Posted 13 October 2013 - 06:55 PM   Best Answer

Spoiler for I think I can do better

Edited by harey, 13 October 2013 - 06:55 PM.

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