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.


T tetromino and X2 hexomino

Prime rectangles: ≥ 0.

Smallest tori tilings

Smallest torus (4x5):

Smallest square torus (6x6):

Tori tilings' solutions count (including translations)

w \ h
1
2
3
4
5
6
7
1
0
2
0
0
3
0
0
0
4
0
0
0
0
5
0
0
0
40
0
6
0
0
0
0
480
≥1000
7
0
0
0
168
0
168
0
8
0
0
0
64
840
0
≥1000
9
0
0
0
≥1000
0
≥1000
0
10
0
0
0
680
≥1000
≥1000
≥1000
11
0
0
0
≥1000
0
≥1000
0
12
0
0
0
≥1000
≥1000
≥1000
≥1000
13
0
0
0
≥1000
0
≥1000
0
14
0
0
0
≥1000
≥1000
≥1000
≥1000
15
0
0
0
≥1000
0
≥1000
0
16
0
0
0
≥1000
≥1000
≥1000
≥1000
17
0
0
0
≥1000
0
≥1000
0
18
0
0
0
≥1000
≥1000
≥1000
≥1000
19
0
0
0
≥1000
0
≥1000
0
20
0
0
0
≥1000
≥1000
≥1000
≥1000
21
0
0
0
≥1000
0
≥1000
0
22
0
0
0
≥1000
≥1000
≥1000
≥1000
23
0
0
0
≥1000
0
≥1000
0
24
0
0
0
≥1000
≥1000
≥1000
≥1000

See Also

T tetromino and X1 hexominoT tetromino and Y1 hexomino