POLYOMINO TILINGS

Polyomino Tilings

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.


I heptomino

Area: 7.

Perimeter: 16.

Size: 1x7.

Is rectangular: yes.

Is convex: yes.

Holes: 0.

Order: 1.

Square order: 7.

Odd order: 1.

Prime rectangles: 1.

Smallest rectangle tilings

Smallest rectangle and smallest odd rectangle (1x7):

Smallest square (7x7):

Rectangle tilings' solutions count (including symmetric)

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 \ h1234567
10
200
3000
40000
500000
6000000
711P11C11C11C11C11C22C
N>07k7k7k7k7k7kall

Smallest prime reptiles

Smallest prime reptile (7Ix2):

Reptile tilings' solutions count (including symmetric)

polyomino \ n²
I heptomino11P1P1C1P1C

See Also

Y1 hexominoL1 heptomino