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Area: 8.

Perimeter: 12.

Size: 2x4.

Is rectangular: yes.

Is convex: yes.

Holes: 0.

Order: 1.

Square order: 2.

Odd order: 1.

Prime rectangles: 1.

Smallest rectangle and smallest odd rectangle (2x4):

Smallest square (4x4):

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 | 13 | 14 | 15 | 16 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

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

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

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

4 | 0 | 11P | 0 | 22C | ||||||||||||

5 | 0 | 0 | 0 | 00 | 00 | |||||||||||

6 | 0 | 0 | 0 | 33C | 00 | 00 | ||||||||||

7 | 0 | 0 | 0 | 00 | 00 | 00 | 00 | |||||||||

8 | 0 | 11C | 0 | 55C | 00 | 1111C | 00 | 3636C | ||||||||

9 | 0 | 0 | 0 | 00 | 00 | 00 | 00 | 00 | 00 | |||||||

10 | 0 | 0 | 0 | 88C | 00 | 00 | 00 | 9595C | 00 | 00 | ||||||

11 | 0 | 0 | 0 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | |||||

12 | 0 | 11C | 0 | 1313C | 00 | 4141C | 00 | 281281C | 00 | ≥1000≥1000C | 00 | ≥1000≥1000C | ||||

13 | 0 | 0 | 0 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | |||

14 | 0 | 0 | 0 | 2121C | 00 | 00 | 00 | 781781C | 00 | 00 | 00 | ≥1000≥1000C | 00 | 00 | ||

15 | 0 | 0 | 0 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | |

16 | 0 | 11C | 0 | 3434C | 00 | 153153C | 00 | ≥1000≥1000C | 00 | ≥1000≥1000C | 00 | ≥1000≥1000C | 00 | ≥1000≥1000C | 00 | ≥1000≥1000C |

N>0 | x | 4k | x | ? | ? | ? | ? | ? | ? | ? | ? | ? | ? | ? | ? | ? |

Smallest prime reptile (8I2x2):

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

I2 octomino | 1 | 5P | 41P | 2245C | 185921P |