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.


T1 hexomino and O1 24-omino

Prime rectangles: ≥ 0.

Rectangle tilings' solutions count (including symmetric)

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
1-34
35
N>0
1-34
0
35
0
0
36
0
0
?
37
0
0
?
38
0
0
?
39
0
0
?
40
0
0
?
41
0
0
?
42
0
0
?
43
0
0
?
44
0
0
?
45
0
0
?
46
0
0
?
47
0
0
?
48
0
0
?
49
0
0
?
50
0
0
?
51
0
0
?
52
0
0
?
53
0
0
?
54
0
0
?
55
0
0
?
56
0
0
?
57
0
0
?
58
0
0
?
59
0
0
?
60
0
0
?
61
0
0
?
62
0
0
?
63
0
0
?
64
0
0
?
65
0
0
?
66
0
0
?
67
0
0
?
68
0
0
?
69
0
0
?
70
0
0
?
71
0
0
?
72
0
0
?
73
0
0
?
74
0
0
?
75
0
0
?
76
0
0
?
77
0
0
?
78
0
0
?
79
0
0
?
80
0
0
?
81
0
0
?
82
0
0
?
83
0
0
?
N>0
x
?

See Also

I hexomino and T1 hexominoT1 hexomino and I heptomino