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.


L pentomino and N pentomino

Prime rectangles: ≥ 0.

Smallest rectangle tilings

Smallest rectangle (4x5):

Smallest square (10x10):

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 \ h123456789101112131415
100
20000
3000000
400000000
50000006600
600000000404000
70000000012120000
800000000188188000000
900000000646400000000
10000022120120944944≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000
110000000042442400000000≥1000≥100000
1200000000≥1000≥100000000000≥1000≥10000000
1300000000≥1000≥100000000000≥1000≥1000000000
1400000000≥1000≥100000000000≥1000≥100000000000
15000044≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000
1600000000≥1000≥100000000000≥1000≥100000000000≥1000≥1000
1700000000≥1000≥100000000000≥1000≥100000000000≥1000≥1000
1800000000≥1000≥100000000000≥1000≥100000000000≥1000≥1000
1900000000≥1000≥100000000000≥1000≥100000000000≥1000≥1000
2000001010≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000
2100000000≥1000≥100000000000≥1000≥100000000000≥1000≥1000
2200000000≥1000≥100000000000≥1000≥100000000000≥1000≥1000
2300000000≥1000≥100000000000≥1000≥100000000000≥1000≥1000
2400000000≥1000≥100000000000≥1000≥100000000000≥1000≥1000
2500002424≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000

See Also

I pentomino and Z2 hexominoL pentomino and P pentomino