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: ≥ 0.

Smallest known rectangle (8x13):

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 | 15 | 16 | 17 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

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 | ≥1≥1 | ≥1≥1 | ≥1≥1 | |||||

13 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | ≥1≥1 | 00 | 00 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ||||

14 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | ≥1≥1 | 00 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | |||

15 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ||

16 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | |

17 | 00 | 00 | 00 | 00 | 00 | 00 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 |

18 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 |

19 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 |

20 | 00 | 00 | 00 | 00 | 00 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 | ≥1≥1 |