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 R pentomino

Prime rectangles: ≥ 46.

Smallest rectangle tilings

Smallest rectangles (4x12, 6x8):

Smallest square (7x7):

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 \ h1-345678910N>0
1-30
4000
500000
60000000
7000000088P
80000044P106106P404404P
90000088P196196P31243124P1526415264P
10000003434P14441444P1322613226P9614096140P926064926064P
110001212P266266P74807480P6350463504P766994766994P≥1≥1Call
12022P8686P784784P2065820658P433556433556C≥1≥1C≥1≥1Call
130009696P23222322P9242692426P≥300000≥300000C≥1≥1C≥1≥1Call
14000242242P86468646P374268374268C≥1≥1C≥1≥1C≥1≥1Call
1503030P16681668P2573625736P≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
16066P20262026P7348273482C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
1700038663866P224266224266C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
180268268P2077020770P647742647742C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
190102102P2701827018P≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
2001212P5195451954P≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
21018841884P216512216512P≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
22010021002P≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
230238238P≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
2401162211622C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
25075787578P≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
26026382638P≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
2706648866488C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
2804944649446C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
2902194421944P≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
300363388363388C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
N>0xallallallallallallall

See Also

I triomino and P pentominoI triomino and T pentomino