The question (originally
posed during the 70's in the magazine *Games
and Puzzles*) is
"What is the
smallest polyomino that tessellates and locks?"
The published solution was this,
in which the polyomino has 25 squares.

It didn't look very minimal to me. I soon found one with 18 squares.

There's an easy simplification of that one that gets us down to 15 squares.

Much doodling later, I found this one that only uses 14 squares. As far as I know, this is the smallest known.

Unless, that is, you allow some of the polyominoes to be flipped over, when you can get away with as few as 12 squares - less than half the originally claimed minimum of 25!

Some of these
polyominoes are given in *The
Penguin Dictionary of Curious and Interesting Geometry *(ed.
David Wells).

All of these backgrounds were produced using SAS DSGI software.

Please also take a look at Squaring the Square.

For some links to kindred sites, see my links page.

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This page last edited 12/12/2007