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You may also see list of all polyomino sets for which data is available here.

Area: 5.

Perimeter: 12.

Size: 1x5.

Is rectangular: yes.

Is convex: yes.

Holes: 0.

Order: 1.

Square order: 5.

Odd order: 1.

Prime rectangles: 1.

Smallest rectangle and smallest odd rectangle (1x5):

Smallest square (5x5):

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

1 | 0 | |||||

2 | 0 | 0 | ||||

3 | 0 | 0 | 0 | |||

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

5 | 11P | 11C | 11C | 11C | 22C | |

6 | 0 | 0 | 0 | 0 | 33C | 5k |

7 | 0 | 0 | 0 | 0 | 44C | 5k |

8 | 0 | 0 | 0 | 0 | 55C | 5k |

9 | 0 | 0 | 0 | 0 | 66C | 5k |

10 | 11C | 11C | 11C | 11C | 88C | all |

N>0 | 5k | 5k | 5k | 5k | all |

Smallest prime reptile (5Ix2):

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

I pentomino | 1 | 1P | ≥1P | ≥1C | ≥1P | ≥1C |

Smallest torus and smallest odd torus (1x5):

Smallest square torus (5x5):

w \ h | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
---|---|---|---|---|---|---|---|---|---|---|

1 | 00 | |||||||||

2 | 00 | 00 | ||||||||

3 | 00 | 00 | 00 | |||||||

4 | 00 | 00 | 00 | 00 | ||||||

5 | 55 | 2525 | 125125 | 625625 | 62506250 | |||||

6 | 00 | 00 | 00 | 00 | 1565515655 | 00 | ||||

7 | 00 | 00 | 00 | 00 | 7830078300 | 00 | 00 | |||

8 | 00 | 00 | 00 | 00 | 391625391625 | 00 | 00 | 00 | ||

9 | 00 | 00 | 00 | 00 | ≥500000≥500000 | 00 | 00 | 00 | 00 | |

10 | 55 | 2525 | 125125 | 625625 | ≥500000≥500000 | 1610516105 | 8054080540 | 404145404145 | ≥500000≥500000 | ≥500000≥500000 |

Smallest Baiocchi figure (area 20):

Smallest Baiocchi figure without holes (area 25):