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.


Dominoes and U pentomino

Prime rectangles: ≥ 7.

Smallest rectangle tilings

Smallest rectangle (3x4):

Smallest square (4x4):

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 \ h1-23456N>0
1-20
3000
4011P44P
5022P2323P100100P
6099P8585C739739C56405640C
701616P336336C27122712C3968739687C?
805757C11901190C1724617246C273965273965C?
90100100C42204220C6194661946C18157201815720C?
N>0xallallallall

See Also

Dominoes and T pentominoDominoes and V pentomino