POLYOMINO TILINGS

Polyomino Tilings

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.


Dominoes and W pentomino

Prime rectangles: ≥ 11.

Smallest rectangle tilings

Smallest rectangle (3x6):

Smallest square (5x5):

Rectangle tilings' solutions count (including symmetric)

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

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

Red number (C) - 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 \ h1-23456N>0
1-20
300
400000
50044P4040P
6022P1414P244244P18461846C
7007878P11921192P1570615706C?
802020P284284P70987098C109433109433C?
90011121112P2690026900C770300770300C?
100130130P39183918C159826159826C50987065098706C?
11001376413764C548292548292C3341533433415334C?
120714714C4662446624C32025183202518C≥1≥1C?
1300???????
14035983598C???????
1500???????
1601722217222C???????
1700???????
1807968479684C???????
1900???????
200359966359966C???????
N>0x2kallallall

See Also

Dominoes and V pentominoDominoes and X pentomino