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: ≥ 3.

Smallest rectangle (2x3):

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

1 | 0 | ||||

2 | 0 | 00 | |||

3 | 0 | 22P | 0 | ||

4 | 0 | 55P | 1818C | 128128C | |

5 | 0 | 1313P | 0 | 498498C | ? |

6 | 0 | 2929C | 132132C | 24912491C | ? |

N>0 | x | all | 2k | all |

Smallest prime reptiles (2Ix2, 4Ox2):

polyomino \ n² | 1² | 2² | 3² |
---|---|---|---|

I domino | ? | ?P | ?P |

O tetromino | ? | ?P | ?P |

Smallest common multiple (area 4):

area | 4 |
---|---|

solutions | 1P |