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.


I triomino and N pentomino

Prime rectangles: ≥ 13.

Smallest rectangle tilings

Smallest rectangle (4x5):

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 \ h1-3456789N>0
1-30
4000
5044P88P
60001616P6464P
7022P6060P164164P272272P
803232P128128C678678P41424142C2202022020C
901616P340340C24002400P1548615486C135008135008C989984989984C
1003838C928928C88188818C4140041400C684482684482C71970307197030Call
110246246P≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
120208208C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
N>0xallallallallallall

See Also

I triomino and L pentominoI triomino and P pentomino