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.
Prime rectangles: 27.
Smallest rectangles (3x20, 4x15, 5x12, 6x10):
Smallest square (10x10):
Blue number - strongly prime rectangle (which cannot be divided into two or more number of rectangles tileable by this set).
Green number - weakly prime rectangle (which cannot be divided into two rectangles tileable by this set, but which can be divided into three or more rectangles).
Purple number - prime rectangle (unknown if weakly or strongly prime).
Red number - 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.
Smallest prime reptiles (5Ix4, 5Lx4, 5Nx4, 5Px4, 5Rx4, 5Tx4, 5Ux4, 5Vx4, 5Wx4, 5Xx4, 5Yx4, 5Zx4):