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.


Monominoes and L tetromino

Prime rectangles: 4.

Smallest rectangle tilings

Smallest rectangle (2x3):

Smallest square (3x3):

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 \ h12345N>0
10
2000
3044P2020P
4088P9292C648648C
501818P362362C44444444C5164851648C
604242C14401440C3186031860C659764659764Call
709898C57845784C225432225432C83147328314732Call
80202202C2323223232C15911641591164C103402146103402146Call
90438438C9331893318C1125075011250750C≥1≥1Call
100958958C374356374356C7952880879528808C≥1≥1Call
N>0xallallallall

See Also

Monominoes and I tetrominoMonominoes and O tetromino