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.


U pentomino and I hexomino

Prime rectangles: ≥ 5.

Smallest rectangle tilings

Smallest known rectangle (14x24):

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 \ h1-121314N>0
1-120
13000
14000??
15000???
16000???
17000???
18000???
19000???
20000???
21000???
22000???
23000???
24000≥1≥1P?
25000???
26000???
27000???
28000???
29000???
30000???
31000???
32000???
33000???
34000???
35000???
36000???
37000???
38000???
39000???
40000???
41000???
42000???
43000???
44000???
45000???
46000???
47000???
48000???
49000???
50000???
51000???
52000???
53000???
540200200P???
55000???
56000???
57000???
58000???
59000???
6003192031920P???
61000???
62000???
63000???
64000???
65000???
66029074082907408P???
67000???
68000???
69000???
70000???
71000???
720200670362200670362P???
N>0x??

See Also

U pentomino and F hexominoU pentomino and J hexomino