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 L triomino

Prime rectangles: 3.

Smallest rectangle tilings

Smallest rectangle and smallest square (2x2):

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 \ h1234N>0
10
2044P
3088P3838P
403232C190190C20222022C
508686C848848C1683816838Call
60236236C38863886C151798151798Call
70654654C1751017510C13288481328848Call
8017921792C7932279322C1175836811758368Call
9048864886C358396358396C103628564103628564Call
1001337613376C16208101620810C914646204914646204Call
N>0xallallall

See Also

Monominoes and I triominoMonominoes and I tetromino