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: ≥ 24.

Smallest rectangle (6x7):

Smallest square (7x7):

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.

Smallest prime reptiles (3Ix5, 5Zx2):

polyomino \ n² | 1² | 2² | 3² | 4² | 5² | 6² |
---|---|---|---|---|---|---|

I triomino | 0 | 0 | 0 | 0 | 738P | 332752P |

Z pentomino | 0 | 2P | 0 | 1570P | 2914271P | ≥1P |

Smallest known common multiple (area 30):

area | 15 | 30 |
---|---|---|

solutions | ? | ≥1 |