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: ≥ 47.

Smallest rectangle (5x9):

Smallest square (9x9):

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 reptile (4Ix5):

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

I tetromino | ? | ? | ? | ? | ?P |

T tetromino | ? | ? | ? | ? | ? |

X pentomino | ? | ? | ? | ? | ? |