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.


L triomino and I tetromino

Prime rectangles: ≥ 19.

Smallest rectangle tilings

Smallest rectangle (2x7):

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 \ h123456N>0
10
2000
300000
4000001616P
5000003232P8080P
600066P4848P124124P≥1≥1C
7066P00224224C408408P≥1≥1Call
80002020P680680C39423942C≥1≥1Call
90000015281528C1420414204C≥1≥1Call
1002020P7676P43444344C5129851298C≥1≥1Call
1101212P4848P1206412064C162704162704C≥1≥1Call
12000356356C3257632576C719720719720C≥1≥1Call
1305656P384384P8922689226C29530082953008C≥1≥1Call
1406060C14921492C244212244212C1140177211401772C≥1≥1Call
1502020P20642064P666990666990C≥1≥1C≥1≥1Call
160144144P≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
170224224C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
180140140C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
190382382P≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
200720720C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
N>0xallallallallall

See Also

I triomino and T1 hexominoL triomino and L tetromino