Select polyominoes for a set (currently 1 or 2), for which tilings should be shown.

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

Prime rectangles: ≥ 17.

Smallest known rectangle and smallest square (12x12):

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 | 8 | 9 | 10 | 11 | 12 | 13 | 14 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

1 | 00 | |||||||||||||

2 | 00 | 00 | ||||||||||||

3 | 00 | 00 | 00 | |||||||||||

4 | 00 | 00 | 00 | 00 | ||||||||||

5 | 00 | 00 | 00 | 00 | 00 | |||||||||

6 | 00 | 00 | 00 | 00 | 00 | 00 | ||||||||

7 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | |||||||

8 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | ||||||

9 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | |||||

10 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | ||||

11 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | |||

12 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 22P | ||

13 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | |

14 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 22P | 00 | 00 |

15 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 8080P | 00 | 00 |

16 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 22P | 6666P | 890890P | 558558P |

17 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 778778P | 00 | ?? |

18 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | ≥1000≥1000P | 00 | ?? |

19 | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ?? | 00 | ≥1≥1P | ?? | ?? |

20 | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ≥1≥1P | ≥1≥1P | ?? | ?? |

21 | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ?? | 00 | ≥1≥1P | ?? | ?? |

22 | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ?? | 00 | ≥1≥1P | ?? | ?? |

23 | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ?? | 00 | ≥1≥1P | ?? | ?? |

24 | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ≥1≥1P | ≥1≥1C | ?? | ?? |

25 | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ?? | 00 | ≥1≥1P | ?? | ?? |

26 | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ≥1≥1C | ?? | ?? |

27 | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ≥1≥1C | ?? | ?? |