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: 7.

Smallest rectangle (3x4):

Smallest square (4x4):

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 | N>0 |
---|---|---|---|---|---|---|

1-2 | 0 | |||||

3 | 0 | 00 | ||||

4 | 0 | 22P | 88P | |||

5 | 0 | 44P | 1818P | 5656P | ||

6 | 0 | 66P | 4646C | 174174C | ≥1≥1C | |

7 | 0 | 88P | 102102C | 524524C | ≥1≥1C | all |

8 | 0 | 1414C | 234234C | 16341634C | ≥1≥1C | all |

N>0 | x | all | all | all | all |

Smallest common multiple (area 6):

area | 6 |
---|---|

solutions | 1P |