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.


O tetromino and Y pentomino

Prime rectangles: ≥ 0.

Smallest rectangle tilings

Smallest rectangle (3x6):

Smallest square (6x6):

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 \ h12345678910
100
20000
3000000
400000000
50000000000
6000022004488
700000000006600
80000003322303044104104
9000000000032328862625656
10000000660056563636429429414414≥1000≥1000
1100000000001441441212324324300300≥1000≥1000
12000044991616174174200200≥1000≥1000≥1000≥1000≥1000≥1000
1300000022443643643636≥1000≥1000≥1000≥1000≥1000≥1000
1400000014142020728728212212≥1000≥1000≥1000≥1000≥1000≥1000
150000004400982982564564≥1000≥1000≥1000≥1000≥1000≥1000
1600000028288888≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000
170000006600≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000
180000885858114114≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000
1900000010103636≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000
200000009797154154≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000≥1000

See Also

O tetromino and V pentominoO tetromino and Z pentomino