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 (4x4):

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

1-3

4

5-7

8

9-11

12

13-15

16

17-19

20

N>0

1-3

?

4

?

5-7

?

?

?

8

?

?

9-11

?

?

?

?

?

12

?

?

?

13-15

?

?

?

?

?

?

?

16

?

?

?

?

17-19

?

?

?

?

?

?

?

?

?

20

?

?

?

?

?

21

?

?

?

?

?

?

?

?

?

?

?

N>0

?

?

?

?

?

?

?

?

?

?