POLYOMINO TILINGS

Rectifiable Polyominoes

Here is list of known rectifiable polyominoes - polyominoes which tile rectangles.

Click on polyomino picture to view more information about it.

Click on underlined column headers to sort by values in clicked column.

Picture Area Order Min. rect. Min. rect. area Prime rect. Square order Min. square Min. sqr. area Odd order Min. odd rect. Min. odd. area Min. reptile
Monominoes111x11111x1111x112
Dominoes211x22122x2411x222
I triomino311x33133x3911x332
I tetromino411x44144x41611x442
O tetromino412x24112x2412x242
I pentomino511x55155x52511x552
I hexomino611x66166x63611x662
O hexomino612x36166x63612x362
I heptomino711x77177x74911x772
I1 octomino811x88188x86411x882
I2 octomino812x48124x41612x482
I 9-omino911x99199x98111x992
O 9-omino913x39113x3913x392
J hexomino623x41212412x121446
T tetromino444x416144x4164
A hexomino623x412≥ 12412x12144????
F hexomino623x412≥ 12412x12144???8
G octomino824x416≥ 124x416???4
J1 octomino824x416≥ 124x416????
L2 15-omino156030x30900≥ 16030x30900????
L triomino322x362126x636155x9452
L tetromino422x48244x4162
L pentomino522x51022010x10100217x151054
P pentomino522x51022010x10100217x151052
L1 heptomino722x71422814x14196279x211896
D hexomino644x62422412x121446
L1 12-omino1288x1296≥ 21212x12144???12
P1 11-omino11≤ 27054x55≤ 2970≥ 2???≤ 42347x99≤ 4653?
P4 heptomino722x71432814x141963311x212314
L1 20-omino201212x20240≥ 32020x20400????
L1 octomino822x816488x8644
P1 heptomino722x714≥ 42814x14196≤ 5719x21≤ 399?
P3 octomino824x416≥ 424x416???4
P1 9-omino922x9
3x6
18≥ 446x636155x27
9x15
1352
P hexomino622x6
3x4
12566x636116x11662
P1 octomino822x816≥ 588x864???4
P2 octomino822x816≥ 588x864???4
L hexomino622x612≥ 866x636219x141266
P3 9-omino922x918≥ 9???≤ 9515x57
19x45
≤ 855?
L1 9-omino922x918≥ 123618x183243311x272978
L2 octomino8≤ 18036x40≤ 1440≥ 12???????
A 9-omino923x618≥ 1746x636≤ 24719x117≤ 22236
B1 9-omino946x636≥ 2146x636????
P2 9-omino946x636≥ 2646x636≤ 8727x29≤ 7836
B hexomino6189x12108≥ 269624x245769
P2 heptomino77619x28532≥ 26???≤ 15321x51≤ 1071?
P3 heptomino72814x14196≥ 372814x141964515x21315?
Y pentomino5105x1050402010x101004515x152259
Y1 hexomino69223x24552≥ 45≤ 38448x48≤ 2304????