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 I tetromino

Prime rectangles: 7.

Smallest rectangle tilings

Smallest rectangle (1x5):

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 \ h12345N>0
100
20000
3000000
40022P66P2828C
522P88C2626C138138C850850C
633P1515C6363C549549C48094809Call
744P2424C124124C18361836C2418624186Call
855P4747C341341C65516551C127061127061Call
999P9999C999999C2490524905C689225689225Call
101313C195195C27432743C9640596405C37901413790141Call
N>0allallallallall

See Also

Monominoes and L triominoMonominoes and L tetromino