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.


O tetromino and B hexomino

Prime rectangles: ≥ 22.

Smallest rectangle tilings

Smallest rectangle (6x10):

Smallest square (10x10):

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 \ h1-5678910111213N>0
1-50
6000
700000
80000000
9000001818P00
10099P001818P005454P
11000005454P000000
1202727P00270270P328328P17101710C41924192P1468414684C
1300000360360P0000007462474624P00
1407272P0015841584P001828618286C00306441306441C00?
150000023762376P000000998798998798C00?
160279279P216216P68946894P1022210222C145782145782C366016366016C45624984562498C≥1900000≥1900000C?
17000001873818738P??????≥1≥1C???
180882882P00≥1000≥1000C??≥1≥1C??≥1≥1C???
1900000≥1000≥1000C??????≥1≥1C???
200≥1000≥1000C15201520P≥1000≥1000C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C?
2100000≥1000≥1000C??????≥1≥1C???
220≥1000≥1000C00≥1000≥1000C??≥1≥1C??≥1≥1C???
2300000≥1000≥1000C??????≥1≥1C???
240≥1000≥1000C2380823808P≥1000≥1000C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C?
2500000≥1000≥1000C??????≥1≥1C???
260≥1000≥1000C00≥1000≥1000C??≥1≥1C??≥1≥1C???
2700000≥1000≥1000C??????≥1≥1C???
280≥1000≥1000C308504308504P≥1000≥1000C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C?
2900000≥1000≥1000C??????≥1≥1C???
300≥1000≥1000C00≥1000≥1000C??≥1≥1C??≥1≥1C???
3100000≥1000≥1000C??????≥1≥1C???
320≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C?
N>0x??all???all?

See Also

O tetromino and A hexominoO tetromino and C hexomino