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 tetromino and U pentomino

Prime rectangles: 66.

Smallest rectangle tilings

Smallest rectangle (6x13):

Smallest square (11x11):

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 \ h1-56789101112131415N>0
1-50
6000
700000
80000000
9000000000
10000000099P00
110000088P004444P224224P
12000001616P3838P112112P19091909P82168216P
13022P002424P88P15621562P552552P≥1000≥1000C≥1000≥1000P
1400022P3232P453453P219219P≥1000≥1000P≥1000≥1000P≥1000≥1000C≥1≥1C
1500000246246P4040P46764676P≥1000≥1000P≥1000≥1000P≥1000≥1000C≥1≥1C≥48000≥48000P
16022P1414P616616P20632063P1729217292P≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1≥1C≥1≥1Call
1702626P44P11701170P714714P110551110551P≥1000≥1000P≥1000≥1000C≥1000≥1000C≥1≥1C≥1≥1Call
180005050P19531953P1741817418P2505925059C≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1≥1C≥1≥1Call
190004040P62046204P32683268P310499310499P≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1≥1C≥1≥1Call
2003030P498498P1616916169P8558685586C≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1≥1C≥1≥1Call
210246246P100100P3494834948P3631836318P≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1≥1C≥1≥1Call
22000866866P≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1000≥1000C≥1≥1C≥1≥1Call
23044P13841384P≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
240318318P1095610956P≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
25020582058P15481548P≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
26044C1231612316P????????????????all
2708484P2803628036P????????????????all
28028662866P185842185842C????????????????all
2901606216062C1973619736P????????????????all
3009292C155058155058C????????????????all
31010461046P442524442524C????????????????all
3202346023460C26740342674034C????????????????all
330119868119868C229252229252C????????????????all
34012921292C18105441810544C????????????????all
3501025810258P60497726049772C????????????????all
360180646180646C3435823034358230C????????????????all
370867478867478C25439962543996C????????????????all
3801444214442C2020798020207980C????????????????all
3908828488284C7534606475346064C????????????????all
40013354221335422C406612136406612136C????????????????all
N>0xallallallallallallallallallall

See Also

I tetromino and T pentominoI tetromino and V pentomino