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 triomino and T tetromino

Prime rectangles: ≥ 10.

Smallest rectangle tilings

Smallest rectangle (3x5):

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 \ h1-234567N>0
1-20
3000
400000
5022P22P00
6044P88P4242C188188C
7066P3232P4040C546546C37923792C
801616P3030P66C24082408C1036610366Call
903030P106106P664664C86868686C5676356763Call
1005252C336336C938938C2816628166C382228382228Call
N>0xallallallallall

See Also

I triomino and O tetrominoI triomino and Z tetromino