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.


Dominoes and T pentomino

Prime rectangles: ≥ 9.

Smallest rectangle tilings

Smallest rectangle and 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 \ h1-23456N>0
1-20
3044P
400000
502828P1818P680680P
601818C100100P18231823C1461414614C
70154154P492492P1513215132C123969123969C?
80194194C20442044P6067960679C962374962374C?
90842842C79367936P365546365546C73212597321259C?
100≥1≥1C≥1≥1C≥1≥1C≥1≥1C?
N>0xallallallall

See Also

Dominoes and R pentominoDominoes and U pentomino