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Area: 5.

Perimeter: 12.

Size: 1x5.

Is rectangular: yes.

Is convex: yes.

Holes: 0.

Order: 1.

Square order: 5.

Odd order: 1.

Prime rectangles: ≥ 1.

Smallest rectangle and smallest odd rectangle (1x5):

Smallest square (5x5):

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

6

0

0

0

0

0

7

0

0

0

0

0

0

8

0

0

0

0

0

0

0

9

0

0

0

0

0

0

0

0

10

11

0

0

0

0

0

0

0

0

0

12

0

0

0

0

0

0

0

0

0

0

13

0

0

0

0

0

0

0

0

0

0

0

14

0

0

0

0

0

0

0

0

0

0

0

0

15

16

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

18

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

19

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

20

21

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

?

N>0

5k

5k

5k

5k

all

5k

5k

5k

5k

all

?

?

?

?

?

?

?

?

?

?

Smallest prime reptile (5Ix2):

Smallest torus and smallest odd torus (1x5):

Smallest square torus (5x5):

w \ h

1

2

3

4

5

6

7

8

9

10

1

0

2

0

0

3

0

0

0

4

0

0

0

0

5

6

0

0

0

0

0

7

0

0

0

0

0

0

8

0

0

0

0

0

0

0

9

0

0

0

0

0

0

0

0

10

Smallest Baiocchi figure (area 20):

Smallest Baiocchi figure without holes (area 25):