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.


L triomino and T tetromino

Prime rectangles: ≥ 8.

Smallest rectangle tilings

Smallest rectangle (2x5):

Smallest square (5x5):

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 \ h12345678N>0
10
2000
30000
4000000
5022P01818C9696P
600001616P240240C972972P
7022P0108108C15801580C1012010120C119728119728C
8088P0390390C48164816C5546255462C970448970448C1222121412221214C
9022P0818818C2480024800C368432368432C96549489654948C≥1≥1Call
1001212C0≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
1102626P0≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
1201616C0≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
1305050C0≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
1408484C0≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
1508282C0≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
160184184C0≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
170282282C0≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
180348348C0≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
190650650C0≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
200976976C0≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
N>0xallxallallallallall

See Also

L triomino and O tetrominoL triomino and Z tetromino