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.


V pentomino and N2 hexomino

Prime rectangles: ≥ 1.

Smallest rectangle tilings

Smallest known rectangle (18x36):

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 \ h1-1415161718N>0
1-140
15000
16000??
17000????
18000??????
19000???????
20000???????
21000???????
22000???????
23000???????
24000???????
25000???????
26000???????
27000???????
28000???????
29000???????
30000???????
31000???????
32000???????
33000???????
34000???????
35000???????
36000????≥1≥1P?
37000???????
38000???????
39000???????
40000???????
41000???????
N>0x????

See Also

V pentomino and N1 hexominoV pentomino and N3 hexomino