Select polyominoes for a set (currently 1 or 2), for which tilings should be shown.

Then click "Show" button.

You may also see list of all polyomino sets for which data is available here.

Prime rectangles: ≥ 0.

Smallest known rectangle and smallest known square (5x5):

Blue number - strongly prime rectangle (which cannot be divided into two or more number of rectangles tileable by this set).

Green number - weakly prime rectangle (which cannot be divided into two rectangles tileable by this set, but which can be divided into three or more rectangles).

Purple number - prime rectangle (unknown if weakly or strongly prime).

Red number - composite rectangle (which can be divided into two rectangles tileable by this set).

Gray number - it is unknown whether rectangle is prime or composite.

Question mark (?) - solution count is unknown.

Click on underlined numbers to view picture with one solution.

w \ h

1-4

5

6-9

10

11-14

15

16-19

20

N>0

1-4

?

5

?

6-9

?

?

?

10

?

?

11-14

?

?

?

?

?

15

?

?

?

16-19

?

?

?

?

?

?

?

20

?

?

?

?

21

?

?

?

?

?

?

?

?

?

N>0

?

?

?

?

?

?

?

?