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 R pentomino

Prime rectangles: 6.

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 \ h1-23456N>0
1-20
3088P
401616P3636P
504646P182182P10061006P
60140140C624624C75767576C8069880698C
70354354C24442444C4244642446C757862757862C?
80984984C91489148C263278263278C78179047817904C?
9026782678C3453434534C16504241650424C7778583677785836C?
N>0xallallallall

See Also

Monominoes and P pentominoMonominoes and T pentomino