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.


Y pentomino and C hexomino

Prime rectangles: ≥ 0.

Smallest rectangle tilings

Smallest rectangle (6x12):

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 \ h1-45678910N>0
1-40
5000
600000
70000000
8000000000
900000000000
100000000000000
110000000000000?
120003232000012812800?
13000000000001616?
140000000000000?
150000000000000?
160001818006666141400?
170006464004400128128?
18000000016016000708708?
190000000323200224224?
20000161600007272464464?
21000323200128128352352792792?
22000969664641941942552255262486248?
230000000119211923232≥1500≥1500?
2400010401040001041042096820968≥100≥100?
25000323200≥100≥100≥100≥100≥100≥100?
2600048481616≥100≥100≥100≥100≥100≥100?
27000≥100≥10000≥100≥100≥100≥100≥100≥100?
28000≥100≥10000≥100≥100≥100≥100≥100≥100?
29000≥100≥10000≥100≥100≥100≥100≥100≥100?
30000484800≥100≥100≥100≥100≥100≥100?
31000646400≥100≥100≥100≥100≥100≥100?
32000≥100≥100≥100≥100≥100≥100≥100≥100≥100≥100?
33000≥100≥10000≥100≥100≥100≥100≥100≥100?
34000≥100≥10000≥100≥100≥100≥100≥100≥100?
3500064641212≥100≥100≥100≥100≥100≥100?
36000≥100≥10000≥100≥100≥100≥100≥100≥100?
37000≥100≥10000≥100≥100≥100≥100≥100≥100?
38000≥100≥100≥100≥100≥100≥100≥100≥100≥100≥100?
39000≥100≥10000≥100≥100≥100≥100≥100≥100?
40000≥100≥100≥100≥100≥100≥100≥100≥100≥100≥100?
410????≥100≥100???????
420????≥100≥100???????
430????1616???????
440????≥100≥100???????
450????1616???????
460????≥100≥100???????
470????00???????
480????≥100≥100???????
490????≥100≥100???????
500????≥100≥100???????
N>0x??????

See Also

Y pentomino and B hexominoY pentomino and D hexomino