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 hexomino

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 tilings

Smallest rectangle and smallest odd rectangle (1x6):

Smallest square (6x6):

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 \ h12345678910N>0
10
200
3000
40000
500000
611P11C11C11C11C22C
70000033C0
80000044C00
90000055C000
100000066C0000
110000077C00006k
1211C11C11C11C11C99C1919C3131C4545C6161Call
N>06k6k6k6k6kall6k6k6k6k

Smallest prime reptiles

Smallest prime reptile (6Ix2):

Reptile tilings' solutions count (including symmetric)

polyomino \ n²
I hexomino11P1P1C1P≥9C

See Also

F hexominoJ hexomino