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.


L hexomino

Area: 6.

Perimeter: 14.

Size: 2x5.

Is rectangular: no.

Is convex: yes.

Holes: 0.

Order: 2.

Square order: 6.

Odd order: 21.

Prime rectangles: ≥ 8.

Smallest rectangle tilings

Smallest rectangle (2x6):

Smallest square (6x6):

Smallest odd rectangle (9x14):

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
3000
40000
500000
6022P044C01616C
70000000
8000004848C00
90000000000
1000000128128C00000
1100000000000
12044C01616C0384384C300300P36563656C24002400C2566625666C2080020800C≥1000≥1000C
1300000000000≥1000≥1000C?
140000011521152C0012801280P00≥1000≥1000C?
15000000044P0420420P0≥1000≥1000C?
160000033283328C00656656P00≥1000≥1000C?
1700000000000≥1000≥1000C?
18088C06464C097289728C0283584283584C0051913805191380C1382413824P≥1000≥1000C?
1900000000000≥1000≥1000C?
20000002867228672C000000≥1000≥1000C?
210000000448448C0323680323680C0≥1000≥1000C?
22000008396883968C000000≥1000≥1000C?
2300000000000≥1000≥1000C?
2401616C0256256C0245760245760C147600147600C2186931221869312C76432007643200C1.04640703×10¹⁰1046407036C796356362796356362C≥1000≥1000C?
2500000000000≥1000≥1000C?
2600000720896720896C0069094406909440C00≥1000≥1000C?
2700000005523255232C0121174272121174272C0≥1000≥1000C?
280000021135362113536C0062274566227456C00≥1000≥1000C?
2900000000000≥1000≥1000C?
3003232C010241024C061931526193152C01.68512753×10¹⁰1685127536C21632002163200C2.10875143×10¹²210875143224C2.72048834×10¹⁰2720488344C≥1000≥1000C?
3100000000000≥1000≥1000C?
32000001815347218153472C0062847366284736C00≥1000≥1000C?
33000000058868485886848C03.61400184×10¹¹36140018400C0≥1000≥1000C?
34000005321523253215232C0039484803948480P00≥1000≥1000C?
3500000000000≥1≥1C?
3606464C040964096C0155975680155975680C7049440070494400C1.29886818×10¹²129886818560C2.41921376×10¹¹24192137600C4.25091983×10¹⁴42509198328440C3.60181011×10¹⁴36018101133520C≥1≥1C?
N>0x6kx6kx2k12k3k2k3k6kall

Smallest prime reptiles

Smallest prime reptile (6Lx6):

Reptile tilings' solutions count (including symmetric)

polyomino \ n²10²11²12²
L hexomino10000134053888P≥22600000P≥1P≥1P≥1P≥1P≥1P

See Also

J hexominoO hexomino