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 P pentomino

Prime rectangles: ≥ 12.

Smallest rectangle tilings

Smallest rectangle and 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 \ h123456N>0
10
2000
300088P
400066P6060P
50006060P384384P34403440P
6066P138138C19661966C2501225012C309960309960C
701616P472472C95029502C194208194208C37130923713092C?
803636P13021302C4556645566C14392241439224C4436698044366980C?
907676P41924192C217290217290C1080278810802788C≥1≥1C?
100≥1≥1P≥1≥1C≥1≥1C≥1≥1C≥1≥1C?
110≥1≥1P≥1≥1C≥1≥1C≥1≥1C≥1≥1C?
120≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C?
N>0xallallallallall

See Also

Dominoes and N pentominoDominoes and R pentomino