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 V pentomino

Prime rectangles: ≥ 6.

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
3088P
4022P88P
505252P6464P12161216P
607878C356356C54025402C4860248602C
70308308C14501450C3326033260C401766401766C?
80720720C62946294C179438179438C36033333603333C?
9021842184C2458824588C10530001053000C3072939030729390C?
N>0xallallallall

See Also

Dominoes and U pentominoDominoes and W pentomino