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 P pentomino

Prime rectangles: 4.

Smallest rectangle tilings

Smallest rectangle (2x3):

Smallest square (3x3):

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
3044P1616P
4088P5050C236236C
501212P182182C13481348C1283812838C
603636C578578C71407140C112834112834C?
707474C19461946C3816038160C999580999580C?
80144144C64166416C205480205480C89233088923308C?
90310310C2117621176C10983381098338C7913768479137684C?
100636636C7017270172C58894225889422C≥1≥1C?
N>0xallallallall

See Also

Monominoes and N pentominoMonominoes and R pentomino