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.


Z pentomino and C hexomino

Prime rectangles: ≥ 2.

Smallest rectangle tilings

Smallest rectangle (18x24):

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 \ h1-1516171819202122N>0
1-150
16000
1700000
180000000
19000000000
2000000000000
210000000000000
22000000000000000
230000000000000???
240000022P000000???
2500000000000?????
2600000000000?????
27000000000???????
2803232P000000???????
29000000000???????
30000000000???????
31000?????????????
32000?????????????
33000?????????????
34000?????????????
35000?????????????
360≥1≥1?????????????
37000?????????????
380≥1≥1?????????????
39000?????????????
400≥1≥1?????????????
410???????????????
420???????????????
430???????????????
440???????????????
450???????????????
460???????????????
470???????????????
480????≥1≥1C?????????
490???????????????
500???????????????
510???????????????
520???????????????
530???????????????
540???????????????
550???????????????
560≥1≥1C?????????????
N>0x???????

See Also

Z pentomino and B hexominoZ pentomino and D hexomino