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.


I triomino and V pentomino

Prime rectangles: ≥ 10.

Smallest rectangle tilings

Smallest rectangle and 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 \ h1-34567N>0
1-30
4044P
5044P00
6044P88P4444P
703838P5454P260260P20082008P
806262C4242C706706C64026402Call
909292C246246P26502650C2718427184Call
100342342C802802C96189618C132390132390Call
110686686C11741174C2755627556C506642506642Call
N>0xallallallall

See Also

I triomino and U pentominoI triomino and W pentomino