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

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

Red number (*C*) - 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.

Smallest prime reptile (9P1x2):

polyomino \ n² | 1² | 2² | 3² | 4² | 5² | 6² | 7² | 8² | 9² | 10² | 11² | 12² |
---|---|---|---|---|---|---|---|---|---|---|---|---|

P1 9-omino | ≥1 | ≥1P | ≥1P | ≥1C | ≥1P | ≥1C | ≥1P | ≥1C | ≥1C | ≥1C | ≥1P | ≥1C |