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You may also see list of all polyomino sets for which data is available here.

Area: 7.

Perimeter: 16.

Size: 1x7.

Is rectangular: yes.

Is convex: yes.

Holes: 0.

Order: 1.

Square order: 7.

Odd order: 1.

Prime rectangles: 1.

Smallest rectangle and smallest odd rectangle (1x7):

Smallest square (7x7):

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.

w \ h | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
---|---|---|---|---|---|---|---|

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 | 0 | 0 | |

7 | 11P | 11C | 11C | 11C | 11C | 11C | 22C |

N>0 | 7k | 7k | 7k | 7k | 7k | 7k | all |

Smallest prime reptile (7Ix2):

polyomino \ n² | 1² | 2² | 3² | 4² | 5² | 6² |
---|---|---|---|---|---|---|

I heptomino | 1 | 1P | 1P | 1C | 1P | 1C |