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 Z1 hexomino

Prime rectangles: ≥ 1.

Smallest rectangle tilings

Smallest known rectangle (11x16):

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 \ h1234567891011
1??
2????
3??????
4????????
5??????????
6????????????
7??????????????
8????????????????
9??????????????????
10????????????????????
11??????????????????????
12??????????????????????
13??????????????????????
14??????????????????????
15??????????????????????
16????????????????????≥1≥1P

See Also

Y pentomino and Y2 hexominoY pentomino and Z2 hexomino