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Area: 9.

Size: 2x6.

Is rectangular: no.

Is convex: yes.

Holes: 0.

Order: 2.

Square order: 4.

Odd order: 15.

Prime rectangles: ≥ 4.

Some facts:

- Smallest polyomino which has two smallest odd rectangles

Smallest rectangles (2x9, 3x6):

Smallest square (6x6):

Smallest odd rectangles (5x27, 9x15):

Blue number - strongly prime rectangle (which cannot be divided into two or more number of rectangles tileable by this set).

Green number - weakly prime rectangle (which cannot be divided into two rectangles tileable by this set, but which can be divided into three or more rectangles).

Purple number - prime rectangle (unknown if weakly or strongly prime).

Red number - 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 \ h

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

N>0

1

0

2

0

0

3

0

0

0

4

0

0

0

0

5

0

0

0

0

0

6

0

0

0

0

7

0

0

0

0

0

0

0

8

0

0

0

0

0

0

0

0

9

0

0

0

0

0

10

0

0

0

0

0

0

0

0

0

11

0

0

0

0

0

0

0

0

0

0

0

12

0

0

0

0

0

0

0

0

13

0

0

0

0

0

0

0

0

0

0

0

0

0

14

0

0

0

0

0

0

0

0

0

0

0

0

0

15

0

0

0

0

0

0

0

0

0

0

0

16

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

17

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

18

0

19

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

20

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

21

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

3k

22

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

9k

23

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

9k

24

0

0

0

0

0

0

0

0

0

0

0

0

0

0

3k

25

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

9k

26

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

9k

27

0

0

all

N>0

x

9k

6k

9k

9k

3k

9k

9k

all

9k

9k

3k

9k

9k

3k

9k

9k

all

9k

9k

Smallest prime reptile (9P1x2):