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 (7x12):

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 | ?? | ||||||

2 | ?? | ?? | |||||

3 | ?? | ?? | ?? | ||||

4 | ?? | ?? | ?? | ?? | |||

5 | ?? | ?? | ?? | ?? | ?? | ||

6 | ?? | ?? | ?? | ?? | ?? | ?? | |

7 | ?? | ?? | ?? | ?? | ?? | ?? | ?? |

8 | ?? | ?? | ?? | ?? | ?? | ?? | ?? |

9 | ?? | ?? | ?? | ?? | ?? | ?? | ?? |

10 | ?? | ?? | ?? | ?? | ?? | ?? | ?? |

11 | ?? | ?? | ?? | ?? | ?? | ?? | ?? |

12 | ?? | ?? | ?? | ?? | ?? | ?? | ≥1≥1P |