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: ≥ 1.

Smallest known rectangle (25x39):

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 | 1-23 | 24 | 25 | N>0 |
---|---|---|---|---|

1-23 | 0 | |||

24 | 0 | ?? | ||

25 | 0 | ?? | ?? | |

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

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

28 | 0 | ?? | ?? | ? |

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

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

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

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

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

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

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

36 | 0 | ?? | ?? | ? |

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

38 | 0 | ?? | ?? | ? |

39 | 0 | ?? | ≥1≥1P | ? |

N>0 | x | ? | ? |

- Smallest rectangle taken from here http://www2.stetson.edu/~efriedma/mathmagic/0810.html