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.


I tetromino and Y pentomino

Prime rectangles: 18.

Smallest rectangle tilings

Smallest rectangle (4x6):

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 \ h1-34567891011N>0
1-30
4000
500000
6044P0022P
7088P0022P00
801212P2424P108108C242242C848848C
901616P1212P4040P44P≥1000≥1000C≥1000≥1000C
1004444P1212P5454C7878C≥1000≥1000C≥1000≥1000C≥1000≥1000C
1108080P44P5858C00≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1≥1C
120140140C336336P≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1≥1Call
130224224C436436P≥1000≥1000C424424C≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1≥1Call
140444444C13661366P≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1≥1Call
150744744C936936P≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1≥1Call
160≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1≥1Call
170≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1≥1Call
180≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1≥1Call
190≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1≥1Call
200≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1≥1Call
N>0xallallallallallallallall

See Also

I tetromino and X pentominoI tetromino and Z pentomino