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Area: 4.

Perimeter: 10.

Size: 2x3.

Is rectangular: no.

Is convex: yes.

Holes: 0.

Prime rectangles: 0.

Some facts:

- It is the smallest polyomino which does not tile any rectangle.

No rectangles exist.

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

1-20

N>0

1-20

?

21

?

?

N>0

?

Smallest torus and smallest square torus and smallest odd torus (2x2):

w \ h

1

2

3

4

5

6

7

8

9

1

0

2

0

3

0

0

0

4

0

0

5

0

0

0

0

0

6

0

0

0

7

0

0

0

0

0

0

0

8

0

9

0

0

0

0

0

0

0

0

10

0

0

0

0

0

11

0

0

0

0

0

0

0

0

12

0

Smallest Baiocchi figure (area 16):

Smallest Baiocchi figure without holes (area 32):