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.


O hexomino

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 tilings

Smallest rectangle and smallest odd rectangle (2x3):

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 \ h123456789101112N>0
10
200
3011P0
40011C0
500000
6011C11C11C22C22C
70000033C0
80011C0044C00
9011C011C055C01111C0
100011C0077C001919C0
110000099C00000
12011C11C11C44C1212C99C3333C4545C7676C171171C316316C
13000001616C00000504504C6k
140011C002121C00105105C0011101110C3k
15011C011C02828C09696C0253253C018161816C2k
160011C003737C00219219C0033903390C3k
17000004949C0000065496549C6k
18011C11C11C88C6565C2727C281281C475475C913913C32293229C1172811728Call
19000008686C000002146521465C6k
200011C00114114C0010611061C004108341083C3k
21011C011C0151151C0821821C031753175C07304973049C2k
220011C00200200C0023132313C00136710136710C3k
2300000265265C00000253812253812C6k
24011C11C11C1616C351351C8181C24002400C50275027C1122711227C6061960619C463017463017Call
N>0x3k2k3k6kall6k3k2k3k6kall

Smallest prime reptiles

Smallest prime reptile (6Ox2):

Reptile tilings' solutions count (including symmetric)

polyomino \ n²
O hexomino11P5P33C253P11728C

See Also

L hexominoP hexomino