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Area: 12.

Perimeter: 18.

Size: 3x6.

Is rectangular: no.

Is convex: yes.

Holes: 0.

Order: 8.

Square order: 12.

Prime rectangles: ≥ 2.

Smallest rectangle (8x12):

Smallest square (12x12):

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

1-7

8

9-11

12

13-15

16

17-19

20

21-23

24

N>0

1-7

0

8

0

0

9-11

0

0

0

12

0

0

13-15

0

0

0

0

0

16

0

0

0

0

0

17-19

0

0

0

0

0

0

0

20

0

0

0

0

0

0

0

21-23

0

0

0

0

0

0

0

0

0

24

0

0

0

0

0

25

0

0

0

0

0

0

0

0

0

0

?

26

0

0

0

0

0

0

0

0

0

0

?

27

0

0

0

0

0

0

0

0

0

0

?

28

0

0

0

0

0

0

0

0

?

29

0

0

0

0

0

0

0

0

0

0

?

30

0

0

0

0

0

0

0

0

0

0

?

31

0

0

0

0

0

0

0

0

0

0

?

32

0

0

0

0

0

0

0

0

?

33

0

0

0

0

0

0

0

0

0

0

?

34

0

0

0

0

0

0

0

0

0

0

?

35

0

0

0

0

0

0

0

0

0

0

?

36

0

0

0

0

0

?

37

0

0

0

0

0

0

0

0

0

0

?

38

0

0

0

0

0

0

0

0

0

0

?

39

0

0

0

0

0

0

0

0

0

0

?

40

0

0

0

0

0

0

0

0

?

41

0

0

0

0

0

0

0

0

0

0

?

42

0

0

0

0

0

0

0

0

0

0

?

43

0

0

0

0

0

0

0

0

0

0

?

44

0

0

0

0

0

0

0

0

?

45

0

0

0

0

0

0

0

0

0

0

?

46

0

0

0

0

0

0

0

0

0

0

?

47

0

0

0

0

0

0

0

0

0

0

?

48

0

0

0

0

0

?

N>0

x

12k

x

?

x

?

x

?

x

?

Smallest prime reptile (12L1x12):