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 R pentomino

Prime rectangles: ≥ 11.

Smallest rectangle tilings

Smallest rectangle (3x5):

Smallest square (5x5):

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
400000
5044P1616P224224P
6044P8888P12501250C1231012310C
703232P440440P71287128C106090106090C?
804444P17921792P4085040850C885916885916C?
90200200P70407040P208132208132C71278187127818C?
100≥1≥1C≥1≥1C≥1≥1C≥1≥1C?
N>0xallallallall

See Also

Dominoes and P pentominoDominoes and T pentomino