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 Z tetromino

Prime rectangles: 4.

Smallest rectangle tilings

Smallest rectangle (2x3):

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 \ h12345N>0
10
2000
3022P88P
4044P2424C100100C
5088P7070C484484C36863686C
601616C202202C21802180C2689426894Call
703030C570570C99629962C197536197536Call
805656C16261626C4547445474C14540061454006Call
90104104C45944594C207236207236C1066515810665158Call
100192192C1304613046C945404945404C7841058278410582Call
N>0xallallallall

See Also

Monominoes and T tetrominoMonominoes and I pentomino