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

Then click "Show" button.

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

Prime rectangles: ≥ 9.

Smallest rectangle (7x20):

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 | 1-6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | N>0 |
---|---|---|---|---|---|---|---|---|---|---|

1-6 | 0 | |||||||||

7 | 0 | 00 | ||||||||

8 | 0 | 00 | 00 | |||||||

9 | 0 | 00 | 00 | 00 | ||||||

10 | 0 | 00 | 00 | 00 | 00 | |||||

11 | 0 | 00 | 00 | 00 | 00 | 00 | ||||

12 | 0 | 00 | 00 | 00 | 00 | 00 | 00 | |||

13 | 0 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | ||

14 | 0 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | |

15 | 0 | 00 | 00 | 00 | 00 | 00 | 00 | ?? | ?? | ? |

16 | 0 | 00 | 00 | 00 | 00 | 00 | 00 | ?? | ?? | ? |

17 | 0 | 00 | 00 | 00 | 00 | 00 | 00 | ?? | ?? | ? |

18 | 0 | 00 | 00 | 00 | 00 | 00 | 00 | ?? | ?? | ? |

19 | 0 | 00 | 00 | 00 | 00 | ≥1000≥1000P | 512512P | ?? | ?? | ? |

20 | 0 | 20482048P | 00 | 00 | ≥1000≥1000P | ≥1000≥1000P | ?? | ?? | ≥1≥1C | ? |

21 | 0 | 00 | 00 | 00 | 00 | 00 | ?? | ?? | ?? | ? |

22 | 0 | 00 | 00 | 00 | 00 | ?? | ?? | ?? | ?? | ? |

23 | 0 | 00 | 00 | 00 | 00 | ?? | ?? | ?? | ?? | ? |

24 | 0 | 00 | 00 | 00 | ?? | ?? | ?? | ?? | ?? | ? |

25 | 0 | 00 | 00 | 00 | ?? | ?? | ?? | ?? | ?? | ? |

26 | 0 | 00 | 00 | 00 | ?? | ?? | ?? | ?? | ?? | ? |

27 | 0 | 00 | 00 | 00 | ?? | ?? | ?? | ?? | ?? | ? |

28 | 0 | ≥1000≥1000P | 00 | 00 | ?? | ?? | ?? | ?? | ≥1≥1C | ? |

29 | 0 | 00 | 00 | 00 | ?? | ?? | ?? | ?? | ?? | ? |

30 | 0 | 00 | 00 | ?? | ?? | ?? | ?? | ?? | ?? | ? |

31 | 0 | 00 | 00 | ?? | ?? | ?? | ?? | ?? | ?? | ? |

32 | 0 | ≥1000≥1000P | 00 | ?? | ?? | ?? | ?? | ?? | ≥1≥1C | ? |

33 | 0 | 00 | 00 | ?? | ?? | ?? | ?? | ?? | ?? | ? |

34 | 0 | 00 | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ? |

35 | 0 | 00 | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ? |

36 | 0 | ≥1000≥1000P | ?? | ?? | ?? | ?? | ?? | ?? | ≥1≥1C | ? |

37 | 0 | 00 | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ? |

38 | 0 | 00 | ?? | ?? | ?? | ≥1≥1C | ≥1≥1C | ?? | ?? | ? |

39 | 0 | ?? | ?? | ?? | ?? | ≥1≥1C | ?? | ?? | ?? | ? |

40 | 0 | ≥1≥1C | ?? | ?? | ≥1≥1C | ≥1≥1C | ?? | ?? | ≥1≥1C | ? |

41 | 0 | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ? |

42 | 0 | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ? |

43 | 0 | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ? |

44 | 0 | ≥1000≥1000P | ?? | ?? | ?? | ?? | ?? | ?? | ≥1≥1C | ? |

45 | 0 | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ? |

46 | 0 | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ? |

47 | 0 | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ? |

48 | 0 | ≥1≥1C | ?? | ?? | ?? | ?? | ?? | ?? | ≥1≥1C | ? |

N>0 | x | ? | ? | ? | ? | ? | ? | ? | ? |