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.


Y pentomino and L hexomino

Prime rectangles: ≥ 1.

Smallest rectangle tilings

Smallest known rectangle (3x14):

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 \ h123
1??
2????
3??????
4??????
5??????
6??????
7??????
8??????
9??????
10??????
11??????
12??????
13??????
14????≥1≥1P

See Also

Y pentomino and K hexominoY pentomino and M hexomino