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: ≥ 2.

Smallest rectangle (18x24):

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 | 1-15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | N>0 |
---|---|---|---|---|---|---|---|---|---|

1-15 | 0 | ||||||||

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

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

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

19 | 0 | 00 | 00 | 00 | 00 | ||||

20 | 0 | 00 | 00 | 00 | 00 | 00 | |||

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

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

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

24 | 0 | 00 | 00 | 22P | 00 | 00 | 00 | ?? | ? |

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

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

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

28 | 0 | 3232P | 00 | 00 | 00 | ?? | ?? | ?? | ? |

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

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

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

32 | 0 | 00 | ?? | ?? | ?? | ?? | ?? | ?? | ? |

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

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

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

36 | 0 | ≥1≥1 | ?? | ?? | ?? | ?? | ?? | ?? | ? |

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

38 | 0 | ≥1≥1 | ?? | ?? | ?? | ?? | ?? | ?? | ? |

39 | 0 | 00 | ?? | ?? | ?? | ?? | ?? | ?? | ? |

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

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

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

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

44 | 0 | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ? |

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

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

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

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

49 | 0 | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ? |

50 | 0 | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ? |

51 | 0 | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ? |

52 | 0 | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ? |

53 | 0 | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ? |

54 | 0 | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ? |

55 | 0 | ?? | ?? | ?? | ?? | ?? | ?? | ?? | ? |

56 | 0 | ≥1≥1C | ?? | ?? | ?? | ?? | ?? | ?? | ? |

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