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.


R pentomino

Area: 5.

Perimeter: 12.

Size: 3x3.

Is rectangular: no.

Is convex: yes.

Holes: 0.

Prime rectangles: ≥ 0.

Smallest tori tilings

Smallest torus (2x5):

Smallest square torus (10x10):

Smallest odd torus (5x7):

Tori tilings' solutions count (including translations)

w \ h12345678910
100
20000
3000000
400000000
50040400024024000
6000000001000100000
7000000005605600000
80000000076007600000000
90000000036036000000000
100032032048048023202320557805578015260152608680086800≥100000≥100000≥100000≥100000≥100000≥100000
11000000005280528000000000≥100000≥100000
1200000000≥100000≥10000000000000≥100000≥100000
13000000002600260000000000≥100000≥100000
1400000000≥100000≥10000000000000≥100000≥100000
1500256025601920192029280292803600036000≥100000≥100000≥100000≥100000≥100000≥100000≥100000≥100000≥100000≥100000
1600000000≥100000≥10000000000000≥100000≥100000
1700000000516805168000000000≥100000≥100000
1800000000≥100000≥10000000000000≥100000≥100000
1900000000≥100000≥10000000000000≥100000≥100000
200020480204802304023040≥100000≥100000≥100000≥100000≥100000≥100000≥100000≥100000≥100000≥100000≥100000≥100000≥100000≥100000

Smallest Baiocchi figures

Smallest Baiocchi figure (area 20):

Smallest known Baiocchi figure without holes (area 80):

See Also

P pentominoT pentomino