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Area: 6.

Perimeter: 10.

Size: 2x3.

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 (2x3):

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 | 11 | 12 | N>0 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|

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

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

3 | 0 | 11P | 0 | ||||||||||

4 | 0 | 0 | 11C | 0 | |||||||||

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

6 | 0 | 11C | 11C | 11C | 22C | 22C | |||||||

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

8 | 0 | 0 | 11C | 0 | 0 | 44C | 0 | 0 | |||||

9 | 0 | 11C | 0 | 11C | 0 | 55C | 0 | 1111C | 0 | ||||

10 | 0 | 0 | 11C | 0 | 0 | 77C | 0 | 0 | 1919C | 0 | |||

11 | 0 | 0 | 0 | 0 | 0 | 99C | 0 | 0 | 0 | 0 | 0 | ||

12 | 0 | 11C | 11C | 11C | 44C | 1212C | 99C | 3333C | 4545C | 7676C | 171171C | 316316C | |

13 | 0 | 0 | 0 | 0 | 0 | 1616C | 0 | 0 | 0 | 0 | 0 | 504504C | 6k |

14 | 0 | 0 | 11C | 0 | 0 | 2121C | 0 | 0 | 105105C | 0 | 0 | 11101110C | 3k |

15 | 0 | 11C | 0 | 11C | 0 | 2828C | 0 | 9696C | 0 | 253253C | 0 | 18161816C | 2k |

16 | 0 | 0 | 11C | 0 | 0 | 3737C | 0 | 0 | 219219C | 0 | 0 | 33903390C | 3k |

17 | 0 | 0 | 0 | 0 | 0 | 4949C | 0 | 0 | 0 | 0 | 0 | 65496549C | 6k |

18 | 0 | 11C | 11C | 11C | 88C | 6565C | 2727C | 281281C | 475475C | 913913C | 32293229C | 1172811728C | all |

19 | 0 | 0 | 0 | 0 | 0 | 8686C | 0 | 0 | 0 | 0 | 0 | 2146521465C | 6k |

20 | 0 | 0 | 11C | 0 | 0 | 114114C | 0 | 0 | 10611061C | 0 | 0 | 4108341083C | 3k |

21 | 0 | 11C | 0 | 11C | 0 | 151151C | 0 | 821821C | 0 | 31753175C | 0 | 7304973049C | 2k |

22 | 0 | 0 | 11C | 0 | 0 | 200200C | 0 | 0 | 23132313C | 0 | 0 | 136710136710C | 3k |

23 | 0 | 0 | 0 | 0 | 0 | 265265C | 0 | 0 | 0 | 0 | 0 | 253812253812C | 6k |

24 | 0 | 11C | 11C | 11C | 1616C | 351351C | 8181C | 24002400C | 50275027C | 1122711227C | 6061960619C | 463017463017C | all |

N>0 | x | 3k | 2k | 3k | 6k | all | 6k | 3k | 2k | 3k | 6k | all |

Smallest prime reptile (6Ox2):

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

O hexomino | 1 | 1P | 5P | 33C | 253P | 11728C |