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.


L2 octomino

Area: 8.

Perimeter: 14.

Size: 3x4.

Is rectangular: no.

Is convex: yes.

Holes: 0.

Order: ≤ 180.

Prime rectangles: ≥ 12.

Smallest rectangle tilings

Smallest known rectangle (36x40):

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 \ h1-212223-252627282930313233343536N>0
1-210
22000
23-250000
26000000
270000000
280000000??
290000000??0
300000000??0??
310000000??0??0
320000000??0??0??
330000000??0??0??0
340000000??0??0??0??
350000000??0??0??0??0
360000000??0??0??0??0??
370000000??0??0??0??0??x
380000000??0??0??0??0???
390000000??0??0??0??0???
400000000??0??0??0??0≥1≥1P?
410000000??0??0??0??0???
420000000??0??0??0??0???
430000000??0??0??0??0???
440000000??0??0??0??0???
450000000??0??0??0??0???
460000000??0??0??0??0???
470000000??0??0??0??0???
480000000??0??0??0??0???
490000000??0??0??0??0???
500000000??0??0??0??0???
510000000??0??0??0??0???
520000000??0??0??0??0???
530000000??0??0??0??0???
540000000??0??0??0??0???
550000000??0??0??0??0???
560000000??0??0??0??0???
570000000??0??0??0??0???
580000000??0??0??0??0???
590000000??0??0??0??0???
600000000??0??0??0??0???
610000000??0??0??0??0???
620000000??0??0??0??0???
630000000??0??0??0??0???
640000≥1≥1P0??0??0??0??0???
650000000??0??0??0??0???
660000000??0??0??0??0???
670000000??0??0??0??0???
680000??0??0??0??0??0???
690000??0??0??0??0??0???
700000??0??0??0??0??0???
710000??0??0??0??0??0???
720000??0??0??0??0??0???
730000??0??0??0??0??0???
740000??0??0??0??0??0???
750000??0??0??0??0??0???
760000??0??0??0??0??0???
770000??0??0??0??0??0???
780000??0??0??0??0??0???
790000??0??0??0??0??0???
800258258P0??0??0??0??0??0???
810000??0??0??0??0??0???
820000??0??0??0??0??0???
830000??0??0??0??0??0???
840000??0??0??0??0??0???
850000??0??0??0??0??0???
860000??0??0??0??0??0???
870000??0??0??0??0??0???
88010641064P0??0??0??0??0??0???
890000??0??0??0??0??0???
900000??0??0??0??0??0???
910000??0??0??0??0??0???
920000??0??0??0??0??0???
930000??0??0??0??0??0???
940000??0??0??0??0??0???
950000??0??0??0??0??0???
96050765076P0??0??0??0??0??0???
970000??0??0??0??0??0???
980000??0??0??0??0??0???
990000??0??0??0??0??0???
1000000??0??0??0??0??0???
1010000??0??0??0??0??0???
1020000??0??0??0??0??0???
1030000??0??0??0??0??0???
10404169241692P0??0??0??0??0??0???
1050000??0??0??0??0??0???
1060000??0??0??0??0??0???
1070000??0??0??0??0??0???
1080000??0??0??0??0??0???
1090000??0??0??0??0??0???
1100000??0??0??0??0??0???
1110000??0??0??0??0??0???
1120355342355342P0??0??0??0??0??0???
1130000??0??0??0??0??0???
1140000??0??0??0??0??0???
1150000??0??0??0??0??0???
1160000??0??0??0??0??0???
1170000??0??0??0??0??0???
1180000??0??0??0??0??0???
1190000??0??0??0??0??0???
120029501002950100P0??0??0??0??0??0???
1210000??0??0??0??0??0???
1220000??0??0??0??0??0???
1230000??0??0??0??0??0???
1240000??0??0??0??0??0???
1250000??0??0??0??0??0???
1260000??0??0??0??0??0???
1270000??0??0??0??0??0???
12802595770825957708P0??0??0??0??0??0???
1290000??0??0??0??0??0???
1300000??0??0??0??0??0???
1310000??0??0??0??0??0???
1320000??0??0??0??0??0???
1330000??0??0??0??0??0???
1340000??0??0??0??0??0???
1350000??0??0??0??0??0???
1360223850496223850496P0??0??0??0??0??0???
1370000??0??0??0??0??0???
1380000??0??0??0??0??0???
1390000??0??0??0??0??0???
1400000??0??0??0??0??0???
1410000??0??0??0??0??0???
1420000??0??0??0??0??0???
1430000??0??0??0??0??0???
14401.95568939×10¹⁰1955689392P0??0??0??0??0??0???
1450000??0??0??0??0??0???
1460000??0??0??0??0??0???
1470000??0??0??0??0??0???
1480000??0??0??0??0??0???
1490000??0??0??0??0??0???
1500000??0??0??0??0??0???
1510000??0??0??0??0??0???
15201.63299742×10¹¹16329974280P0??0??0??0??0??0???
1530000??0??0??0??0??0???
1540000??0??0??0??0??0???
1550000??0??0??0??0??0???
1560000??0??0??0??0??0???
1570000??0??0??0??0??0???
1580000??0??0??0??0??0???
1590000??0??0??0??0??0???
16001.37759277×10¹²137759277648C0??0??0??0??0??0???
1610000??0??0??0??0??0???
1620000??0??0??0??0??0???
1630000??0??0??0??0??0???
1640000??0??0??0??0??0???
1650000??0??0??0??0??0???
1660000??0??0??0??0??0???
1670000??0??0??0??0??0???
16801.20282344×10¹³1202823448800C0??0??0??0??0??0???
1690000??0??0??0??0??0???
1700000??0??0??0??0??0???
1710000??0??0??0??0??0???
1720000??0??0??0??0??0???
1730000??0??0??0??0??0???
1740000??0??0??0??0??0???
1750000??0??0??0??0??0???
17601.03717597×10¹⁴10371759796436C0??0??0??0??0??0???
1770000??0??0??0??0??0???
1780000??0??0??0??0??0???
1790000??0??0??0??0??0???
1800000??0??0??0??0??0???
1810000??0??0??0??0??0???
1820000??0??0??0??0??0???
1830000??0??0??0??0??0???
18408.92146491×10¹⁴89214649117284C0??0??0??0??0??0???
1850000??0??0??0??0??0???
1860000??0??0??0??0??0???
1870000??0??0??0??0??0???
1880000??0??0??0??0??0???
1890000??0??0??0??0??0???
1900000??0??0??0??0??0???
1910000??0??0??0??0??0???
19207.75378294×10¹⁵775378294550132C0??0??0??0??0??0???
1930000??0??0??0??0??0???
1940000??0??0??0??0??0???
1950000??0??0??0??0??0???
1960000??0??0??0??0??0???
1970000??0??0??0??0??0???
1980000??0??0??0??0??0???
1990000??0??0??0??0??0???
20006.69907671×10¹⁶6699076713870360C0??0??0??0??0??0???
N>0x?x?x?x?x?x?x?

See Also

L1 octominoP1 octomino