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 N pentomino

Prime rectangles: 8.

Smallest rectangle tilings

Smallest rectangle (2x4):

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
10
2000
300000
4044P1010P6464C
5088P2626P234234C13741374C
601414P6262P10901090C95369536C?
702828P150150P45604560C6063860638C?
805858C422422C2030420304C406358406358C?
90112112C11141114C8789287892C26723902672390C?
N>0xallallallall

See Also

Monominoes and L pentominoMonominoes and P pentomino