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.

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Picture

Min. rect.

Min. rect. area

Min. square

Min. odd rect.

20

12

240

≥ 3

20

400

≤ 0

?

≤

?

15

60

900

≥ 1

60

900

≤ 0

?

≤

?

12

8

96

≥ 2

12

144

≤ 0

?

≤

11

≤ 270

≤ 2970

≥ 1

≤ 0

?

≤

≤ 423

≤ 4653

?

9

4

36

≥ 21

4

36

≤ 87

≤ 783

9

4

36

≥ 22

4

36

≤ 0

?

≤

?

9

2

18

≥ 7

≤ 36

≤ 324

≤ 95

≤ 855

?

9

2

18

≥ 4

4

36

15

135

9

2

18

≥ 7

36

324

33

297

9

2

18

≥ 17

4

36

≤ 247

≤ 2223

9

1

9

≥ 1

1

9

1

9

9

1

9

≥ 1

9

81

1

9

8

≤ 180

≤ 1440

≥ 12

≤ 0

?

≤

≤ 0

?

≤

?

8

2

16

≥ 4

2

16

≤ 0

?

≤

8

2

16

≥ 2

8

64

≤ 0

?

≤

8

2

16

≥ 5

8

64

≤ 0

?

≤

8

2

16

≥ 4

8

64

≤ 0

?

≤

8

2

16

≥ 1

2

16

≤ 0

?

≤

?

8

2

16

≥ 1

2

16

≤ 0

?

≤

8

1

8

≥ 1

2

16

1

8

8

1

8

≥ 1

8

64

1

8

7

76

532

≥ 69

≤ 252

≤ 1764

≤ 153

≤ 1071

?

7

28

196

≥ 37

28

196

45

315

?

7

2

14

≥ 3

28

196

33

231

7

2

14

≥ 3

28

196

≤ 57

≤ 399

?

7

2

14

≥ 2

28

196

27

189

7

1

7

≥ 1

7

49

1

7

6

92

552

≥ 6

≤ 384

≤ 2304

≤ 0

?

≤

?

6

18

108

≥ 26

96

576

≤ 0

?

≤

6

4

24

≥ 2

24

144

≤ 0

?

≤

6

2

12

≥ 5

6

36

11

66

6

2

12

≥ 8

6

36

21

126

6

2

12

≥ 1

24

144

≤ 0

?

≤

6

2

12

≥ 1

24

144

≤ 0

?

≤

6

2

12

≥ 1

24

144

≤ 0

?

≤

?

6

1

6

≥ 1

6

36

1

6

6

1

6

≥ 1

6

36

1

6

5

10

50

≥ 40

20

100

45

225

5

2

10

≥ 2

20

100

21

105

5

2

10

≥ 2

20

100

21

105

5

1

5

≥ 1

5

25

1

5

4

4

16

≥ 1

4

16

≤ 0

?

≤

4

2

8

≥ 2

4

16

≤ 0

?

≤

4

1

4

≥ 1

1

4

1

4

4

1

4

1

4

16

1

4

3

2

6

≥ 2

12

36

15

45

3

1

3

1

3

9

1

3

2

1

2

≥ 1

2

4

1

2

1

1

1

≥ 1

1

1

1

1