For example, the following rectangle fails because of the fault line indicated in red.

What's the smallest rectangle you can make without fault lines? You may send solutions to skepticsplay at gmail dot com.

Can you do the same with 3x1 bricks?

This puzzle is taken from

*Polyominoes: Puzzles, Patterns, Problems, and Packings*, by Solomon W. Golomb.

See solutions

## 11 comments:

a single 2x1 brick

But you need to use multiple bricks.

Three.

More than three are necessary. If you need to verify a solution you can send it to me.

I wanna say 5x4...

It's not enough to guess the best size, you have to construct a solution! 5x4 is not possible.

aabbc

bccac

bddab

caccb

cabaa

ddbcc

is a 5x6 case. Smallest?

Yes, 5x6 is the smallest possible solution! I believe there are other unique forms though.

Oh hey, 5x6 is the smallest? I found a 5x6 solution.

No, nevermind, now that I look closely it's just like Eduard Baumann's solution, only flipped.

A B C C D D

A B E F F G

H H E I J G

K L L I J M

K N O OM

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