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.

Area: 6.

Perimeter: 14.

Size: 1x6.

Is rectangular: yes.

Is convex: yes.

Holes: 0.

Order: 1.

Square order: 6.

Odd order: 1.

Prime rectangles: 1.

Smallest rectangle and smallest odd rectangle (1x6):

Smallest square (6x6):

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

1 | 0 | ||||||||||

2 | 0 | 0 | |||||||||

3 | 0 | 0 | 0 | ||||||||

4 | 0 | 0 | 0 | 0 | |||||||

5 | 0 | 0 | 0 | 0 | 0 | ||||||

6 | 11P | 11C | 11C | 11C | 11C | 22C | |||||

7 | 0 | 0 | 0 | 0 | 0 | 33C | 0 | ||||

8 | 0 | 0 | 0 | 0 | 0 | 44C | 0 | 0 | |||

9 | 0 | 0 | 0 | 0 | 0 | 55C | 0 | 0 | 0 | ||

10 | 0 | 0 | 0 | 0 | 0 | 66C | 0 | 0 | 0 | 0 | |

11 | 0 | 0 | 0 | 0 | 0 | 77C | 0 | 0 | 0 | 0 | 6k |

12 | 11C | 11C | 11C | 11C | 11C | 99C | 1919C | 3131C | 4545C | 6161C | all |

N>0 | 6k | 6k | 6k | 6k | 6k | all | 6k | 6k | 6k | 6k |

Smallest prime reptile (6Ix2):

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

I hexomino | 1 | 1P | 1P | 1C | 1P | ≥9C |