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 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
5088P4040P344344C25502550C
601818P102102P16621662C1871018710C?
702828P206206P67526752C121268121268C?
805454C546546C2829228292C837460837460C?
90112112C16101610C122316122316C57203785720378C?
100218218C46444644C547586547586C3981794239817942C?
110408408C1215012150C24340062434006C≥1≥1C?
N>0xallallallall

See Also

Monominoes and I pentominoMonominoes and N pentomino